// Numbas version: exam_results_page_options {"name": "39. VM Distributed Loads", "metadata": {"description": "

Shear and bending moment problems involving distributed loads.

", "licence": "Creative Commons Attribution-ShareAlike 4.0 International"}, "duration": 0, "percentPass": 0, "showQuestionGroupNames": false, "shuffleQuestionGroups": false, "showstudentname": true, "question_groups": [{"name": "Group", "pickingStrategy": "all-ordered", "pickQuestions": 1, "questionNames": ["", "", ""], "variable_overrides": [[], [], []], "questions": [{"name": "V-M 3: Distributed loads", "extensions": ["geogebra", "quantities"], "custom_part_types": [{"source": {"pk": 19, "author": {"name": "William Haynes", "pk": 2530}, "edit_page": "/part_type/19/edit"}, "name": "Engineering Accuracy with units", "short_name": "engineering-answer", "description": "

A value with units marked right if within an adjustable % error of the correct value. Marked close if within a wider margin of error.

", "help_url": "", "input_widget": "string", "input_options": {"correctAnswer": "siground(settings['correctAnswer'],4)", "hint": {"static": true, "value": ""}, "allowEmpty": {"static": true, "value": true}}, "can_be_gap": true, "can_be_step": true, "marking_script": "mark:\nswitch( \n right and good_units and right_sign, add_credit(1.0,'Correct.'),\n right and good_units and not right_sign, add_credit(settings['C2'],'Wrong sign.'),\n right and right_sign and not good_units, add_credit(settings['C2'],'Correct value, but wrong or missing units.'),\n close and good_units, add_credit(settings['C1'],'Close.'),\n close and not good_units, add_credit(settings['C3'],'Answer is close, but wrong or missing units.'),\n incorrect('Wrong answer.')\n)\n\n\ninterpreted_answer:\nqty(student_scalar, student_units)\n\n\n\ncorrect_quantity:\nsettings[\"correctAnswer\"]\n\n\n\ncorrect_units:\nunits(correct_quantity)\n\n\nallowed_notation_styles:\n[\"plain\",\"en\"]\n\nmatch_student_number:\nmatchnumber(studentAnswer,allowed_notation_styles)\n\nstudent_scalar:\nmatch_student_number[1]\n\nstudent_units:\nreplace_regex('ohms','ohm',\n replace_regex('\u00b0', ' deg',\n replace_regex('-', ' ' ,\n studentAnswer[len(match_student_number[0])..len(studentAnswer)])),\"i\")\n\ngood_units:\ntry(\ncompatible(quantity(1, student_units),correct_units),\nmsg,\nfeedback(msg);false)\n\n\nstudent_quantity:\nswitch(not good_units, \n student_scalar * correct_units, \n not right_sign,\n -quantity(student_scalar, student_units),\n quantity(student_scalar,student_units)\n)\n \n\n\npercent_error:\ntry(\nscalar(abs((correct_quantity - student_quantity)/correct_quantity))*100 \n,msg,\nif(student_quantity=correct_quantity,0,100))\n \n\nright:\npercent_error <= settings['right']\n\n\nclose:\nright_sign and percent_error <= settings['close']\n\nright_sign:\nsign(student_scalar) = sign(correct_quantity)", "marking_notes": [{"name": "mark", "description": "This is the main marking note. It should award credit and provide feedback based on the student's answer.", "definition": "switch( \n right and good_units and right_sign, add_credit(1.0,'Correct.'),\n right and good_units and not right_sign, add_credit(settings['C2'],'Wrong sign.'),\n right and right_sign and not good_units, add_credit(settings['C2'],'Correct value, but wrong or missing units.'),\n close and good_units, add_credit(settings['C1'],'Close.'),\n close and not good_units, add_credit(settings['C3'],'Answer is close, but wrong or missing units.'),\n incorrect('Wrong answer.')\n)\n"}, {"name": "interpreted_answer", "description": "A value representing the student's answer to this part.", "definition": "qty(student_scalar, student_units)\n\n"}, {"name": "correct_quantity", "description": "", "definition": "settings[\"correctAnswer\"]\n\n"}, {"name": "correct_units", "description": "", "definition": "units(correct_quantity)\n"}, {"name": "allowed_notation_styles", "description": "", "definition": "[\"plain\",\"en\"]"}, {"name": "match_student_number", "description": "", "definition": "matchnumber(studentAnswer,allowed_notation_styles)"}, {"name": "student_scalar", "description": "", "definition": "match_student_number[1]"}, {"name": "student_units", "description": "

Modify the unit portion of the student's answer by

1. replacing \"ohms\" with \"ohm\" case insensitive

2. replacing '-' with ' '

3. replacing '°' with ' deg'

to allow answers like 10 ft-lb and 30°

", "definition": "replace_regex('ohms','ohm',\n replace_regex('\u00b0', ' deg',\n replace_regex('-', ' ' ,\n studentAnswer[len(match_student_number[0])..len(studentAnswer)])),\"i\")"}, {"name": "good_units", "description": "", "definition": "try(\ncompatible(quantity(1, student_units),correct_units),\nmsg,\nfeedback(msg);false)\n"}, {"name": "student_quantity", "description": "

This fixes the student answer for two common errors.

If student_units are wrong - replace with correct units

If student_scalar has the wrong sign - replace with right sign

If student makes both errors, only one gets fixed.

", "definition": "switch(not good_units, \n student_scalar * correct_units, \n not right_sign,\n -quantity(student_scalar, student_units),\n quantity(student_scalar,student_units)\n)\n \n"}, {"name": "percent_error", "description": "", "definition": "try(\nscalar(abs((correct_quantity - student_quantity)/correct_quantity))*100 \n,msg,\nif(student_quantity=correct_quantity,0,100))\n "}, {"name": "right", "description": "", "definition": "percent_error <= settings['right']\n"}, {"name": "close", "description": "

Only marked close if the student actually has the right sign.

", "definition": "right_sign and percent_error <= settings['close']"}, {"name": "right_sign", "description": "", "definition": "sign(student_scalar) = sign(correct_quantity) "}], "settings": [{"name": "correctAnswer", "label": "Correct Quantity.", "help_url": "", "hint": "The correct answer given as a JME quantity.", "input_type": "code", "default_value": "", "evaluate": true}, {"name": "right", "label": "% Accuracy for right.", "help_url": "", "hint": "Question will be considered correct if the scalar part of the student's answer is within this % of correct value.", "input_type": "code", "default_value": "0.2", "evaluate": true}, {"name": "close", "label": "% Accuracy for close.", "help_url": "", "hint": "Question will be considered close if the scalar part of the student's answer is within this % of correct value.", "input_type": "code", "default_value": "1.0", "evaluate": true}, {"name": "C1", "label": "Close with units.", "help_url": "", "hint": "Partial Credit for close value with appropriate units. if correct answer is 100 N and close is ±1%,
99 N is accepted.", "input_type": "percent", "default_value": "75"}, {"name": "C2", "label": "No units or wrong sign", "help_url": "", "hint": "Partial credit for forgetting units or using wrong sign.
If the correct answer is 100 N, both 100 and -100 N are accepted.", "input_type": "percent", "default_value": "50"}, {"name": "C3", "label": "Close, no units.", "help_url": "", "hint": "Partial Credit for close value but forgotten units.
This value would be close if the expected units were provided. If the correct answer is 100 N, and close is ±1%,
99 is accepted.", "input_type": "percent", "default_value": "25"}], "public_availability": "always", "published": true, "extensions": ["quantities"]}], "resources": [["question-resources/VM3.ggb", "/srv/numbas/media/question-resources/VM3.ggb"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "William Haynes", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2530/"}], "tags": ["gets answer from ggb", "Mechanics", "mechanics", "shear and bending moment", "Statics", "statics"], "metadata": {"description": "Draw Shear and Bending Moment Diagram for a beam with two uniformly distributed loads.", "licence": "Creative Commons Attribution-NonCommercial 4.0 International"}, "statement": "

Draw the shear and bending moment for the {beamlen} {units[0]} beam and loading shown.

{ggb_function}

", "advice": "", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"range": {"name": "range", "group": "Ungrouped variables", "definition": "[0]+sort(take(4,x,x,shuffle(2..(beamLen -2)#2))) + [beamLen]", "description": "", "templateType": "anything", "can_override": false}, "beamLen": {"name": "beamLen", "group": "Ungrouped variables", "definition": " random(12..20#2)", "description": "", "templateType": "anything", "can_override": false}, "ggb_function": {"name": "ggb_function", "group": "Ungrouped variables", "definition": "geogebra_function()", "description": "

geogebra_applet('q7zdsmu3', [
\"showR\": [definition: 'false', visible: false],
\"showV\": [definition: 'false', visible: true],
\"showM\": [definition: 'false', visible: true],
\"NewProblem\": [visible: false],
\"xxx\": [definition: [
'SetCoords(A,' + A + ',0)',
'SetCoords(B,' + B + ',0)',
'SetCoords(C,' + C + ',0)',
'SetCoords(D,' + D + ',0)',
'SetCoords(E,' + EE + ',0)',
'SetCoords(F,' + F + ',0)'
]],
\"A\":[fixed: true],
\"B\":[fixed: true],
\"C\":[fixed: true],
\"D\":[fixed: true],
\"E\":[fixed: true],
\"F\":[fixed: true],
\"w_1\": [definition: w_1, visible: false],
\"w_2\": [definition: w_2, visible: false],
\"textShowSoln\": [definition: '\"Show Diagrams\"', visible: true],
\"units_d\":[definition: '\"' + units[0] + '\"'],
\"units_f\":[definition: '\"' + units[1] + '\"'],
\"Scale_V\": [definition: safe('CopyFreeObject(scaleFunction(Max({V_{max},abs(V_{min})})/2 ))')],
\"Scale_M\": [definition: safe('CopyFreeObject(scaleFunction(Max({M_{max},abs(M_{min})})/3 ))')]

])

", "templateType": "anything", "can_override": false}, "A": {"name": "A", "group": "Unnamed group", "definition": "range[0]", "description": "", "templateType": "anything", "can_override": false}, "B": {"name": "B", "group": "Unnamed group", "definition": "if(random(0..100)>50, range[0],range[1])", "description": "

Sometimes put point B at the left end

", "templateType": "anything", "can_override": false}, "C": {"name": "C", "group": "Unnamed group", "definition": "if(random(0..100)<25, range[3],range[2])", "description": "", "templateType": "anything", "can_override": false}, "D": {"name": "D", "group": "Unnamed group", "definition": "range[3]", "description": "", "templateType": "anything", "can_override": false}, "EE": {"name": "EE", "group": "Unnamed group", "definition": "if(random(0..100)<40, range[5],range[4])", "description": "

sometimes put E at the right end

", "templateType": "anything", "can_override": false}, "F": {"name": "F", "group": "Unnamed group", "definition": "range[5]", "description": "

at the right end

", "templateType": "anything", "can_override": false}, "units": {"name": "units", "group": "Unnamed group", "definition": "random(['ft','lb'],['m','kN'])", "description": "", "templateType": "anything", "can_override": false}, "w_1": {"name": "w_1", "group": "Unnamed group", "definition": "random(-100..100#10 except 0)", "description": "", "templateType": "anything", "can_override": false}, "w_2": {"name": "w_2", "group": "Unnamed group", "definition": "random(-100..100#10 except 0)", "description": "", "templateType": "anything", "can_override": false}, "points": {"name": "points", "group": "Ungrouped variables", "definition": "sort(distinct([A,B,C,D,EE,F]))", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "C <> D", "maxRuns": 100}, "ungrouped_variables": ["beamLen", "range", "ggb_function", "points"], "variable_groups": [{"name": "Unnamed group", "variables": ["A", "B", "C", "D", "EE", "F", "units", "w_1", "w_2"]}], "functions": {"geogebra_function": {"parameters": [], "type": "ggbapplet", "language": "javascript", "definition": "// Create the worksheet. \n// This function returns an object with a container `element` and a `promise` resolving to a GeoGebra applet.\nvar params = {\n material_id: 'q7zdsmu3'\n}\n\nvar result = Numbas.extensions.geogebra.createGeogebraApplet(params);\n\n// Once the applet has loaded, run some commands to manipulate the worksheet.\nresult.promise.then(function(d) {\n var app = d.app;\n question.applet = d;\n \n \n //initialize the dimensions and forces\n \n function setGGBPoint(g_name, n_name = g_name) {\n // moves point in GGB to location of Numbas Vector Variable\n // g_name = geogebra point, n_name = numbas vector\n \n //var pt = question.scope.evaluate(n_name).value\n var pt = scope.getVariable(n_name).value\n app.setFixed(g_name,false,false);\n app.setCoords(g_name, pt[0], pt[1]);\n //app.setFixed(g_name,true,true);\n }\n \n function setGGBNumber(g_name, n_name = g_name) {\n // Sets number in GGB to a Numbas Variable\n var n = scope.getVariable(n_name).value;\n app.setValue(g_name,n);\n app.setVisible(g_name,false);\n }\n \n setGGBNumber('w_1');\n setGGBNumber('w_2');\n \n function setPoint(name,nname=name) {\n var x = Numbas.jme.unwrapValue(question.scope.getVariable(nname))\n app.setFixed(name,false,false);\n app.setCoords(name, x, 0);\n app.setFixed(name,true);\n }\n \n setPoint('A');\n setPoint('B');\n setPoint('C');\n setPoint('D');\n setPoint('E','EE');\n setPoint('F');\n \n app.evalCommand('Scale_V = CopyFreeObject(scaleFunction(Max({V_{max},abs(V_{min})})/2 ))');\n app.evalCommand('Scale_M = CopyFreeObject(scaleFunction(Max({M_{max},abs(M_{min})})/3 ))');\n \n var units = question.unwrappedVariables.units\n app.setTextValue('units_d', units[0]);\n app.setTextValue('units_f', units[1]);\n //app.evalCommand(\"RunClickScript(Rescale)\"); (not implemented in ggb)\n \n app.setVisible(\"NewProblem\", false, false);\n //app.setVisible(\"Rescale\", true, false);\n app.setVisible(\"textShowSoln\", false, false);\n app.setVisible(\"showR\", false,false);\n app.setVisible(\"showV\", true,false);\n app.setVisible(\"showM\", true,false);\n app.setVisible(\"showMax\", false,false);\n app.setVisible(\"TR\", false,false);\n app.setVisible(\"BL\", false,false);\n \n \n app.setValue(\"showR\",false);\n app.setValue(\"showV\",false);\n app.setValue(\"showM\",false);\n app.setValue(\"showMax\",false);\n \n /*debuging settings\n app.setVisible('showR', true);\n app.setVisible('showV', true);\n app.setVisible('showM', true);\n app.setVisible('showMax', true);\n app.setVisible(\"textShowSoln\", true, false);\n \n app.setValue('showMax',true);\n app.setValue('showR',true);\n app.setValue('showV',true);\n app.setValue('showM',true);\n */\n\n\n \n});\n\n// This function returns the result of `createGeogebraApplet` as an object \n// with the JME data type 'ggbapplet', which can be substituted into the question's content.\nreturn new Numbas.jme.types.ggbapplet(result);"}, "getGGB": {"parameters": [["val", "string"]], "type": "anything", "language": "javascript", "definition": "return question.applet.app.getValue(val)"}}, "preamble": {"js": "question.signals.on('adviceDisplayed',function() {\n try{\n var app = question.applet.app;\n \n app.setVisible('showR', true);\n app.setVisible('showV', true);\n app.setVisible('showM', true);\n app.setVisible('showMax', true);\n app.setVisible(\"textShowSoln\", true, false);\n \n app.setValue('showMax',true);\n app.setValue('showR',true);\n app.setValue('showV',true);\n app.setValue('showM',true);\n \n }\n catch(err){} \n})\n\n\n\n", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": true, "customName": "Reactions", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

What are the reactions at $A$ and $F$?

$A = $ [[0]] $\\qquad F = $ [[1]]

", "gaps": [{"type": "engineering-answer", "useCustomName": true, "customName": "A", "marks": "10", "scripts": {}, "customMarkingAlgorithm": "correct_quantity:\n qty(abs(value(ggb_function,\"F_A\")),units[1])", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "settings": {"correctAnswer": "qty(0,units[1])", "right": "0.2", "close": "1.0", "C1": "75", "C2": "50", "C3": "25"}}, {"type": "engineering-answer", "useCustomName": true, "customName": "F", "marks": "10", "scripts": {}, "customMarkingAlgorithm": "correct_quantity:\n qty(abs(value(ggb_function,\"F_F\")),units[1])", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "settings": {"correctAnswer": "qty(0,units[1])", "right": "0.2", "close": "1.0", "C1": "75", "C2": "50", "C3": "25"}}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": true, "customName": "Maximum Internal Load", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

Give the (signed) values of the largest shear and bending moment occuring anywhere within the beam. Use standard sign convetion for shear and bending moment.

$V_{\\text{max}} = $ [[0]] $\\qquad M_{\\text{max}} = $ [[1]]

", "gaps": [{"type": "engineering-answer", "useCustomName": true, "customName": "$V_\\text{max}", "marks": "10", "scripts": {}, "customMarkingAlgorithm": "Vmax:\n value(ggb_function,safe(\"V_{max}\"))\n\nVmin:\n value(ggb_function,safe(\"V_{min}\"))\n\ncorrect_quantity:\n qty(if(abs(Vmax)>=abs(Vmin), Vmax, Vmin), units[1])", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "settings": {"correctAnswer": "qty(0,units[1])", "right": "1", "close": "5", "C1": "75", "C2": "50", "C3": "25"}}, {"type": "engineering-answer", "useCustomName": true, "customName": "$M_\\text{max}$", "marks": "10", "scripts": {}, "customMarkingAlgorithm": "Mmax:\n value(ggb_function,safe(\"M_{max}\"))\n\nMmin:\n value(ggb_function,safe(\"M_{min}\"))\n\ncorrect_quantity:\n qty(if(abs(Mmax)>=abs(Mmin), Mmax, Mmin), units[1]+' ' + units[0])\n\n", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "settings": {"correctAnswer": "qty(0,units[1] + ' ' + units[0])", "right": "1", "close": "5", "C1": "75", "C2": "50", "C3": "25"}}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "V-M 4: Combined loads", "extensions": ["geogebra", "quantities"], "custom_part_types": [{"source": {"pk": 19, "author": {"name": "William Haynes", "pk": 2530}, "edit_page": "/part_type/19/edit"}, "name": "Engineering Accuracy with units", "short_name": "engineering-answer", "description": "

A value with units marked right if within an adjustable % error of the correct value. Marked close if within a wider margin of error.

Modify the unit portion of the student's answer by

1. replacing \"ohms\" with \"ohm\" case insensitive

2. replacing '-' with ' '

3. replacing '°' with ' deg'

to allow answers like 10 ft-lb and 30°

This fixes the student answer for two common errors.

If student_units are wrong - replace with correct units

If student_scalar has the wrong sign - replace with right sign

If student makes both errors, only one gets fixed.

Only marked close if the student actually has the right sign.

", "definition": "right_sign and percent_error <= settings['close']"}, {"name": "right_sign", "description": "", "definition": "sign(student_scalar) = sign(correct_quantity) "}], "settings": [{"name": "correctAnswer", "label": "Correct Quantity.", "help_url": "", "hint": "The correct answer given as a JME quantity.", "input_type": "code", "default_value": "", "evaluate": true}, {"name": "right", "label": "% Accuracy for right.", "help_url": "", "hint": "Question will be considered correct if the scalar part of the student's answer is within this % of correct value.", "input_type": "code", "default_value": "0.2", "evaluate": true}, {"name": "close", "label": "% Accuracy for close.", "help_url": "", "hint": "Question will be considered close if the scalar part of the student's answer is within this % of correct value.", "input_type": "code", "default_value": "1.0", "evaluate": true}, {"name": "C1", "label": "Close with units.", "help_url": "", "hint": "Partial Credit for close value with appropriate units. if correct answer is 100 N and close is ±1%,
99 N is accepted.", "input_type": "percent", "default_value": "75"}, {"name": "C2", "label": "No units or wrong sign", "help_url": "", "hint": "Partial credit for forgetting units or using wrong sign.
If the correct answer is 100 N, both 100 and -100 N are accepted.", "input_type": "percent", "default_value": "50"}, {"name": "C3", "label": "Close, no units.", "help_url": "", "hint": "Partial Credit for close value but forgotten units.
This value would be close if the expected units were provided. If the correct answer is 100 N, and close is ±1%,
99 is accepted.", "input_type": "percent", "default_value": "25"}], "public_availability": "always", "published": true, "extensions": ["quantities"]}], "resources": [["question-resources/VM4.ggb", "/srv/numbas/media/question-resources/VM4.ggb"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "William Haynes", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2530/"}], "tags": ["gets answer from ggb", "Mechanics", "mechanics", "shear and bending moment diagram", "statics", "Statics"], "metadata": {"description": "Shear and bending moment diagram for a beam loaded with concentrated force and a uniformly distributed force.", "licence": "Creative Commons Attribution-NonCommercial 4.0 International"}, "statement": "

A {qty(beamlen, units[0])} long beam is subjected to a {abs(P_C)} {units[1]} concentrated force $P$ and a {abs(w)} {units[1]}/{units[0]} distributed load $w$ as shown.

Draw the corresponding shear and bending moment.

{ggb_function}

", "advice": "", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"beamLen": {"name": "beamLen", "group": "Ungrouped variables", "definition": "random(12..20#2)", "description": "", "templateType": "anything", "can_override": false}, "range": {"name": "range", "group": "Ungrouped variables", "definition": "[0]+sort(take(3,x,x,shuffle(2..(beamLen -2)#2))) + [beamLen]", "description": "", "templateType": "anything", "can_override": false}, "ggb_function": {"name": "ggb_function", "group": "Ungrouped variables", "definition": "geogebra_function()", "description": "

geogebra_applet('qqv7vew7', [
\"showR\": [definition: 'false', visible: false],
\"showV\": [definition: 'false', visible: true],
\"showM\": [definition: 'false', visible: true],
\"NewProblem\": [visible: false],
\"xxx\": [definition: [
'SetCoords(A,' + A + ',0)',
'SetCoords(B,' + B + ',0)',
'SetCoords(C,' + C + ',0)',
'SetCoords(D,' + D + ',0)',
'SetCoords(E,' + EE + ',0)'

]],
\"A\":[fixed: true],
\"B\":[fixed: true],
\"C\":[fixed: true],
\"D\":[fixed: true],
\"E\":[fixed: true],

\"w\": [definition: w, visible: false],
\"P_C\": [definition: P_C, visible: false],
\"textShowSoln\": [definition: '\"Show Diagrams\"', visible: true],
\"textMax\": [visible: false],
\"units_d\":[definition: '\"' + units[0] + '\"'],
\"units_f\":[definition: '\"' + units[1] + '\"'],
\"Scale_V\": [definition: safe('CopyFreeObject(scaleFunction(Max({V_{max},abs(V_{min})})/2 ))')],
\"Scale_M\": [definition: safe('CopyFreeObject(scaleFunction(Max({M_{max},abs(M_{min})})/3 ))')]

])

", "templateType": "anything", "can_override": false}, "dots": {"name": "dots", "group": "Ungrouped variables", "definition": "[if(A<>0,0,random(0..beamLen#2))]+ \n[if(B<> beamLen, beamLen, random(0..BeamLen#2))]+\n[random(0..BeamLen/2#2)]", "description": "", "templateType": "anything", "can_override": false}, "P_C": {"name": "P_C", "group": "Ungrouped variables", "definition": "random(-200..200#10 except 0)", "description": "", "templateType": "anything", "can_override": false}, "A": {"name": "A", "group": "Ungrouped variables", "definition": "random(0..beamLen/2#2)", "description": "", "templateType": "anything", "can_override": false}, "B": {"name": "B", "group": "Ungrouped variables", "definition": "beamlen-random(0..beamLen/2#2)", "description": "", "templateType": "anything", "can_override": false}, "C": {"name": "C", "group": "Ungrouped variables", "definition": "dots[0]", "description": "", "templateType": "anything", "can_override": false}, "D": {"name": "D", "group": "Ungrouped variables", "definition": "dots[1]", "description": "", "templateType": "anything", "can_override": false}, "EE": {"name": "EE", "group": "Ungrouped variables", "definition": "dots[2]", "description": "", "templateType": "anything", "can_override": false}, "units": {"name": "units", "group": "Ungrouped variables", "definition": "random(['ft','lb'],['m','kN'])", "description": "", "templateType": "anything", "can_override": false}, "w": {"name": "w", "group": "Ungrouped variables", "definition": "random(-50..50#10 except 0)", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "A< beamLen/2 and B > beamLen/2 and C <> A and C <> B and D <> EE and abs(A-B) >= 6\n// Reactions in two places, load not on top of reactions, and distributed load starts and ends ", "maxRuns": 100}, "ungrouped_variables": ["beamLen", "range", "ggb_function", "dots", "A", "B", "C", "D", "EE", "P_C", "units", "w"], "variable_groups": [], "functions": {"geogebra_function": {"parameters": [], "type": "ggbapplet", "language": "javascript", "definition": "// Create the worksheet. \n// This function returns an object with a container `element` and a `promise` resolving to a GeoGebra applet.\nvar params = {\n material_id: 'qqv7vew7'\n}\n\nvar result = Numbas.extensions.geogebra.createGeogebraApplet(params);\n\n// Once the applet has loaded, run some commands to manipulate the worksheet.\nresult.promise.then(function(d) {\n var app = d.app;\n question.applet = d;\n \n \n //initialize the dimensions and forces\n \n function setGGBPoint(g_name, n_name = g_name) {\n // moves point in GGB to location of Numbas Vector Variable\n // g_name = geogebra point, n_name = numbas vector\n \n //var pt = question.scope.evaluate(n_name).value\n var pt = scope.getVariable(n_name).value\n app.setFixed(g_name,false,false);\n app.setCoords(g_name, pt[0], pt[1]);\n //app.setFixed(g_name,true,true);\n }\n \n function setGGBNumber(g_name, n_name = g_name) {\n // Sets number in GGB to a Numbas Variable\n var n = scope.getVariable(n_name).value;\n app.setValue(g_name,n);\n app.setVisible(g_name,false);\n }\n \n setGGBNumber('w');\n setGGBNumber('P_C');\n \n function setPoint(name,nname=name) {\n var x = Numbas.jme.unwrapValue(question.scope.getVariable(nname))\n app.setFixed(name,false,false);\n app.setCoords(name, x, 0);\n app.setFixed(name,true);\n }\n \n setPoint('A');\n setPoint('B');\n setPoint('C');\n setPoint('D');\n setPoint('E','EE');\n\n \n app.evalCommand('Scale_V = CopyFreeObject(scaleFunction(Max({V_{max},abs(V_{min})})/2 ))');\n app.evalCommand('Scale_M = CopyFreeObject(scaleFunction(Max({M_{max},abs(M_{min})})/3 ))');\n \n var units = question.unwrappedVariables.units\n app.setTextValue('units_d', units[0]);\n app.setTextValue('units_f', units[1]);\n //app.evalCommand(\"RunClickScript(Rescale)\"); (not implemented in ggb)\n \n app.setVisible(\"NewProblem\", false, false);\n //app.setVisible(\"Rescale\", true, false);\n app.setVisible(\"textShowSoln\", false, false);\n app.setVisible(\"showR\", false,false);\n app.setVisible(\"showV\", true,false);\n app.setVisible(\"showM\", true,false);\n app.setVisible(\"showMax\", false,false);\n\n \n \n app.setValue(\"showR\",false);\n app.setValue(\"showV\",false);\n app.setValue(\"showM\",false);\n app.setValue(\"showMax\",false);\n \n /* debugging values\n app.setValue(\"showR\",true);\n app.setValue(\"showV\",true);\n app.setValue(\"showM\",true);\n app.setValue(\"showMax\",true);\n */ \n \n});\n\n// This function returns the result of `createGeogebraApplet` as an object \n// with the JME data type 'ggbapplet', which can be substituted into the question's content.\nreturn new Numbas.jme.types.ggbapplet(result);"}, "getGGB": {"parameters": [["val", "string"]], "type": "anything", "language": "javascript", "definition": "return question.applet.app.getValue(val)"}}, "preamble": {"js": "question.signals.on('adviceDisplayed',function() {\n try{\n var app = question.applet.app;\n \n app.setVisible(\"showR\", true,false);\n app.setVisible(\"showV\", true,false);\n app.setVisible(\"showM\", true,false);\n app.setVisible(\"showMax\", true,false);\n //app.setVisible(\"F_C\",true,true);\n //app.setVisible(\"F_D\",true,true);\n //app.setVisible(\"F_E\",true,true);\n app.setValue(\"showR\",true);\n app.setValue(\"showV\",true);\n app.setValue(\"showM\",true);\n app.setValue(\"showMax\",true);\n \n }\n catch(err){} \n})\n\n\n\n\n", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": true, "customName": "Reactions", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

What are the reactions at $A$ and $B$?

$A= $ [[0]] $\\qquad B = $ [[1]]

", "gaps": [{"type": "engineering-answer", "useCustomName": true, "customName": "A", "marks": "10", "scripts": {}, "customMarkingAlgorithm": "correct_quantity:\n qty(abs(value(ggb_function,\"F_A\")),units[1])", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "settings": {"correctAnswer": "qty(0, units[0])", "right": "0.2", "close": "1.0", "C1": "75", "C2": "50", "C3": "25"}}, {"type": "engineering-answer", "useCustomName": true, "customName": "B", "marks": "10", "scripts": {}, "customMarkingAlgorithm": "correct_quantity:\n qty(abs(value(ggb_function,\"F_B\")),units[1])", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "settings": {"correctAnswer": "qty(0, units[0])", "right": "0.2", "close": "1.0", "C1": "75", "C2": "50", "C3": "25"}}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": true, "customName": "Maximum internal load", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

Give the (signed) values of the largest shear and bending moment occuring anywhere within the beam. Use the standard sign convention.

$V_{max}= $ [[0]] $\\qquad M_{max}= $ [[1]]

A value with units marked right if within an adjustable % error of the correct value. Marked close if within a wider margin of error.

Modify the unit portion of the student's answer by

1. replacing \"ohms\" with \"ohm\" case insensitive

2. replacing '-' with ' '

3. replacing '°' with ' deg'

to allow answers like 10 ft-lb and 30°

This fixes the student answer for two common errors.

If student_units are wrong - replace with correct units

If student_scalar has the wrong sign - replace with right sign

If student makes both errors, only one gets fixed.

Only marked close if the student actually has the right sign.

", "definition": "right_sign and percent_error <= settings['close']"}, {"name": "right_sign", "description": "", "definition": "sign(student_scalar) = sign(correct_quantity) "}], "settings": [{"name": "correctAnswer", "label": "Correct Quantity.", "help_url": "", "hint": "The correct answer given as a JME quantity.", "input_type": "code", "default_value": "", "evaluate": true}, {"name": "right", "label": "% Accuracy for right.", "help_url": "", "hint": "Question will be considered correct if the scalar part of the student's answer is within this % of correct value.", "input_type": "code", "default_value": "0.2", "evaluate": true}, {"name": "close", "label": "% Accuracy for close.", "help_url": "", "hint": "Question will be considered close if the scalar part of the student's answer is within this % of correct value.", "input_type": "code", "default_value": "1.0", "evaluate": true}, {"name": "C1", "label": "Close with units.", "help_url": "", "hint": "Partial Credit for close value with appropriate units. if correct answer is 100 N and close is ±1%,
99 N is accepted.", "input_type": "percent", "default_value": "75"}, {"name": "C2", "label": "No units or wrong sign", "help_url": "", "hint": "Partial credit for forgetting units or using wrong sign.
If the correct answer is 100 N, both 100 and -100 N are accepted.", "input_type": "percent", "default_value": "50"}, {"name": "C3", "label": "Close, no units.", "help_url": "", "hint": "Partial Credit for close value but forgotten units.
This value would be close if the expected units were provided. If the correct answer is 100 N, and close is ±1%,
99 is accepted.", "input_type": "percent", "default_value": "25"}], "public_availability": "always", "published": true, "extensions": ["quantities"]}], "resources": [["question-resources/VM3.ggb", "/srv/numbas/media/question-resources/VM3.ggb"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "William Haynes", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2530/"}], "tags": ["gets answer from ggb", "mechanics", "Mechanics", "shear and bending moment", "Statics", "statics"], "metadata": {"description": "Draw Shear and Bending Moment Diagram for a beam with two uniformly distributed loads.", "licence": "Creative Commons Attribution-NonCommercial 4.0 International"}, "statement": "

Draw the shear and bending moment for the {beamlen} {units[0]} beam and loading shown.

{ggb_function}

])

Sometimes put point B at the left end

sometimes put E at the right end

", "templateType": "anything", "can_override": false}, "F": {"name": "F", "group": "Unnamed group", "definition": "range[5]", "description": "

at the right end

", "templateType": "anything", "can_override": false}, "units": {"name": "units", "group": "Unnamed group", "definition": "random(['ft','lb'],['m','kN'])", "description": "", "templateType": "anything", "can_override": false}, "w_1": {"name": "w_1", "group": "Unnamed group", "definition": "random(-100..100#10 except 0)", "description": "", "templateType": "anything", "can_override": false}, "w_2": {"name": "w_2", "group": "Unnamed group", "definition": "random(-100..100#10 except 0)", "description": "", "templateType": "anything", "can_override": false}, "points": {"name": "points", "group": "Ungrouped variables", "definition": "sort(distinct([A,B,C,D,EE,F]))", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "C <> D", "maxRuns": 100}, "ungrouped_variables": ["beamLen", "range", "ggb_function", "points"], "variable_groups": [{"name": "Unnamed group", "variables": ["A", "B", "C", "D", "EE", "F", "units", "w_1", "w_2"]}], "functions": {"geogebra_function": {"parameters": [], "type": "ggbapplet", "language": "javascript", "definition": "// Create the worksheet. \n// This function returns an object with a container `element` and a `promise` resolving to a GeoGebra applet.\nvar params = {\n material_id: 'q7zdsmu3',\n width: 560,\n height: 600\n}\n\nvar result = Numbas.extensions.geogebra.createGeogebraApplet(params);\n\n// Once the applet has loaded, run some commands to manipulate the worksheet.\nresult.promise.then(function(d) {\n var app = d.app;\n question.applet = d;\n \n \n //initialize the dimensions and forces\n \n function setGGBPoint(g_name, n_name = g_name) {\n // moves point in GGB to location of Numbas Vector Variable\n // g_name = geogebra point, n_name = numbas vector\n \n //var pt = question.scope.evaluate(n_name).value\n var pt = scope.getVariable(n_name).value\n app.setFixed(g_name,false,false);\n app.setCoords(g_name, pt[0], pt[1]);\n //app.setFixed(g_name,true,true);\n }\n \n function setGGBNumber(g_name, n_name = g_name) {\n // Sets number in GGB to a Numbas Variable\n var n = scope.getVariable(n_name).value;\n app.setValue(g_name,n);\n app.setVisible(g_name,false);\n }\n \n setGGBNumber('w_1');\n setGGBNumber('w_2');\n \n function setPoint(name,nname=name) {\n var x = Numbas.jme.unwrapValue(question.scope.getVariable(nname))\n app.setFixed(name,false,false);\n app.setCoords(name, x, 0);\n app.setFixed(name,true);\n }\n \n setPoint('A');\n setPoint('B');\n setPoint('C');\n setPoint('D');\n setPoint('E','EE');\n setPoint('F');\n \n app.setVisible('TR',false);\n app.setVisible('BL',false);\n app.setLabelVisible('TR',true);\n app.setLabelStyle('TR',2);\n app.setLabelVisible('BL',true);\n app.setLabelStyle('BL',2);\n app.setCoords('BL',-4,-35);\n \n app.evalCommand('Scale_V = CopyFreeObject(scaleFunction(Max({V_{max},abs(V_{min})})/2 ))');\n app.evalCommand('Scale_M = CopyFreeObject(scaleFunction(Max({M_{max},abs(M_{min})})/3 ))');\n \n var units = question.unwrappedVariables.units\n app.setTextValue('units_d', units[0]);\n app.setTextValue('units_f', units[1]);\n //app.evalCommand(\"RunClickScript(Rescale)\"); (not implemented in ggb)\n \n app.setVisible(\"NewProblem\", false, false);\n //app.setVisible(\"Rescale\", true, false);\n app.setVisible(\"textShowSoln\", false, false);\n app.setVisible(\"showR\", false,false);\n app.setVisible(\"showV\", false,false);\n app.setVisible(\"showM\", false,false);\n app.setVisible(\"showMax\", false,false);\n \n \n app.setValue(\"showR\",false);\n app.setValue(\"showV\",false);\n app.setValue(\"showM\",false);\n app.setValue(\"showMax\",false);\n \n \n /*debuging values\n app.setVisible('showR', true);\n app.setVisible('showV', true);\n app.setVisible('showM', true);\n app.setVisible('showMax', true);\n app.setVisible(\"textShowSoln\", true, false);\n \n app.setValue('showMax',true);\n app.setValue('showR',true);\n app.setValue('showV',true);\n app.setValue('showM',true);\n */\n \n});\n\n// This function returns the result of `createGeogebraApplet` as an object \n// with the JME data type 'ggbapplet', which can be substituted into the question's content.\nreturn new Numbas.jme.types.ggbapplet(result);"}, "getGGB": {"parameters": [["val", "string"]], "type": "anything", "language": "javascript", "definition": "return question.applet.app.getValue(val)"}}, "preamble": {"js": "question.signals.on('adviceDisplayed',function() {\n try{\n var app = question.applet.app;\n \n app.setVisible('showR', true);\n app.setVisible('showV', true);\n app.setVisible('showM', true);\n app.setVisible('showMax', true);\n app.setVisible(\"textShowSoln\", true, false);\n \n app.setValue('showMax',true);\n app.setValue('showR',true);\n app.setValue('showV',true);\n app.setValue('showM',true);\n \n }\n catch(err){} \n})\n\n\n\n", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": true, "customName": "Reactions", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

What are the reactions at $A$ and $F$?

$A = $ [[0]] $\\qquad F = $ [[1]]

Give the (signed) values of the largest shear and bending moment occuring anywhere within the beam. Use the standard sign convention.

$V_{\\text{max}} = $ [[0]] $\\qquad M_{\\text{max}} = $ [[1]]

", "gaps": [{"type": "engineering-answer", "useCustomName": true, "customName": "$V_\\text{max}$", "marks": "10", "scripts": {}, "customMarkingAlgorithm": "Vmax:\n value(ggb_function,safe(\"V_{max}\"))\n\nVmin:\n value(ggb_function,safe(\"V_{min}\"))\n\ncorrect_quantity:\n qty(if(abs(Vmax)>=abs(Vmin), Vmax, Vmin), units[1])", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "settings": {"correctAnswer": "qty(0,units[1])", "right": "1", "close": "5", "C1": "75", "C2": "50", "C3": "25"}}, {"type": "engineering-answer", "useCustomName": true, "customName": "$M_\\text{max}$", "marks": "10", "scripts": {}, "customMarkingAlgorithm": "Mmax:\n value(ggb_function,safe(\"M_{max}\"))\n\nMmin:\n value(ggb_function,safe(\"M_{min}\"))\n\ncorrect_quantity:\n qty(if(abs(Mmax)>=abs(Mmin), Mmax, Mmin), units[1]+' ' + units[0])\n\n", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "settings": {"correctAnswer": "qty(0,units[1] + ' ' + units[0])", "right": "1", "close": "5", "C1": "75", "C2": "50", "C3": "25"}}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}]}], "allowPrinting": true, "navigation": {"allowregen": true, "reverse": true, "browse": true, "allowsteps": true, "showfrontpage": false, "showresultspage": "oncompletion", "navigatemode": "sequence", "onleave": {"action": "none", "message": ""}, "preventleave": true, "startpassword": ""}, "timing": {"allowPause": true, "timeout": {"action": "none", "message": ""}, "timedwarning": {"action": "none", "message": ""}}, "feedback": {"showactualmark": true, "showtotalmark": true, "showanswerstate": true, "allowrevealanswer": true, "advicethreshold": 0, "intro": "", "reviewshowscore": true, "reviewshowfeedback": true, "reviewshowexpectedanswer": true, "reviewshowadvice": true, "feedbackmessages": []}, "diagnostic": {"knowledge_graph": {"topics": [], "learning_objectives": []}, "script": "diagnosys", "customScript": ""}, "contributors": [{"name": "William Haynes", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2530/"}], "extensions": ["geogebra", "quantities"], "custom_part_types": [{"source": {"pk": 19, "author": {"name": "William Haynes", "pk": 2530}, "edit_page": "/part_type/19/edit"}, "name": "Engineering Accuracy with units", "short_name": "engineering-answer", "description": "

A value with units marked right if within an adjustable % error of the correct value. Marked close if within a wider margin of error.

Modify the unit portion of the student's answer by

1. replacing \"ohms\" with \"ohm\" case insensitive

2. replacing '-' with ' '

3. replacing '°' with ' deg'

to allow answers like 10 ft-lb and 30°

This fixes the student answer for two common errors.

If student_units are wrong - replace with correct units

If student_scalar has the wrong sign - replace with right sign

If student makes both errors, only one gets fixed.

Only marked close if the student actually has the right sign.

", "definition": "right_sign and percent_error <= settings['close']"}, {"name": "right_sign", "description": "", "definition": "sign(student_scalar) = sign(correct_quantity) "}], "settings": [{"name": "correctAnswer", "label": "Correct Quantity.", "help_url": "", "hint": "The correct answer given as a JME quantity.", "input_type": "code", "default_value": "", "evaluate": true}, {"name": "right", "label": "% Accuracy for right.", "help_url": "", "hint": "Question will be considered correct if the scalar part of the student's answer is within this % of correct value.", "input_type": "code", "default_value": "0.2", "evaluate": true}, {"name": "close", "label": "% Accuracy for close.", "help_url": "", "hint": "Question will be considered close if the scalar part of the student's answer is within this % of correct value.", "input_type": "code", "default_value": "1.0", "evaluate": true}, {"name": "C1", "label": "Close with units.", "help_url": "", "hint": "Partial Credit for close value with appropriate units. if correct answer is 100 N and close is ±1%,
99 N is accepted.", "input_type": "percent", "default_value": "75"}, {"name": "C2", "label": "No units or wrong sign", "help_url": "", "hint": "Partial credit for forgetting units or using wrong sign.
If the correct answer is 100 N, both 100 and -100 N are accepted.", "input_type": "percent", "default_value": "50"}, {"name": "C3", "label": "Close, no units.", "help_url": "", "hint": "Partial Credit for close value but forgotten units.
This value would be close if the expected units were provided. If the correct answer is 100 N, and close is ±1%,
99 is accepted.", "input_type": "percent", "default_value": "25"}], "public_availability": "always", "published": true, "extensions": ["quantities"]}], "resources": [["question-resources/VM3.ggb", "/srv/numbas/media/question-resources/VM3.ggb"], ["question-resources/VM4.ggb", "/srv/numbas/media/question-resources/VM4.ggb"]]}