// Numbas version: exam_results_page_options
{"name": "Week 5 Quiz", "metadata": {"description": "<p>Calculation of max design capacities of reinforced concrete beams with and without shear links</p>", "licence": "None specified"}, "duration": 14400, "percentPass": "0", "showQuestionGroupNames": false, "shuffleQuestionGroups": false, "showstudentname": true, "question_groups": [{"name": "Group", "pickingStrategy": "all-ordered", "pickQuestions": 1, "questionNames": ["", ""], "variable_overrides": [[], []], "questions": [{"name": "Calculation of Design Shear Resistance of Concrete Alone, VRd,c", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Patrick Crean", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/8267/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "<p>Calculate the Shear Resistance of the reinforced concrete beam below. Note the beam does not contain shear links</p>\n<p>D = {D}mm</p>\n<p>B = {B}mm</p>\n<p>Cover to main bar = {Cover}mm</p>\n<p>Reinforcement = 3No.H{Bar_Dia}</p>\n<p>fck = {fck}N/mm<sup>2</sup></p>\n<p>Note: There are no links provided in the beam. Take this into account when calculating the effective depth of the beam.</p>", "advice": "", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"D": {"name": "D", "group": "Ungrouped variables", "definition": "random(300 .. 750#25)", "description": "<p>Overall Depth of a Beam</p>", "templateType": "randrange", "can_override": false}, "B": {"name": "B", "group": "Ungrouped variables", "definition": "random(250 .. 500#25)", "description": "<p>Width of Beam</p>", "templateType": "randrange", "can_override": false}, "Cover": {"name": "Cover", "group": "Ungrouped variables", "definition": "random(20 .. 50#5)", "description": "<p>Cover to bars</p>", "templateType": "randrange", "can_override": false}, "Bar_Dia": {"name": "Bar_Dia", "group": "Ungrouped variables", "definition": "random(25 .. 32#7)", "description": "<p>Diameter of Main Bar</p>", "templateType": "randrange", "can_override": false}, "fck": {"name": "fck", "group": "Ungrouped variables", "definition": "random(32 .. 40#8)", "description": "<p>Characteristic strength of concrete</p>", "templateType": "randrange", "can_override": false}, "eff_depth": {"name": "eff_depth", "group": "Ungrouped variables", "definition": "D-cover-(Bar_Dia*0.5)", "description": "<p>Effective Depth</p>", "templateType": "anything", "can_override": false}, "k": {"name": "k", "group": "Ungrouped variables", "definition": "min((1+(200/eff_depth)^0.5),2)", "description": "<p>Parameter to take into account depth of slab</p>", "templateType": "anything", "can_override": false}, "row1": {"name": "row1", "group": "Ungrouped variables", "definition": "(As1/(B*eff_depth))", "description": "<p>Percentage of steel reinforcement to area of concrete</p>", "templateType": "anything", "can_override": false}, "As1": {"name": "As1", "group": "Ungrouped variables", "definition": "(pi*3*Bar_Dia^2)*0.25", "description": "<p>Area of steel</p>", "templateType": "anything", "can_override": false}, "VRdc": {"name": "VRdc", "group": "Ungrouped variables", "definition": "(((0.12*k*(100*row1*fck)^0.333)*eff_depth*B)/1000)", "description": "<p>Design Shear Resistance of Concrete Alone</p>", "templateType": "anything", "can_override": false}, "VRdcmin": {"name": "VRdcmin", "group": "Ungrouped variables", "definition": "(0.035*k^1.5)*(fck^0.5)*B*eff_depth/1000", "description": "<p>Min Shear Resistance</p>", "templateType": "anything", "can_override": false}, "VRdc_used": {"name": "VRdc_used", "group": "Ungrouped variables", "definition": "max(VRdc,VRdcmin)", "description": "<p>Check on whether to use VRdc or VRdc min</p>", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["D", "B", "Cover", "Bar_Dia", "fck", "eff_depth", "k", "row1", "As1", "VRdc", "VRdcmin", "VRdc_used"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "numberentry", "useCustomName": true, "customName": "Calculate Effective Depth", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Calculate the effective depth 'd' in mm</p>\n<p></p>", "minValue": "eff_depth-1", "maxValue": "eff_depth+1", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "precisionType": "dp", "precision": "1", "precisionPartialCredit": "90", "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": true, "customName": "Calculate 'k'", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [{"variable": "eff_depth", "part": "p0", "must_go_first": false}], "variableReplacementStrategy": "alwaysreplace", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Calculate the first parameter 'k' Note: k is a parameter that takes account of the depth of the slab.&nbsp;</p>\n<p><b></b></p>\n<p><b>k = [ 1 + </b><b>&nbsp;</b><b>(200/d)</b><sup><b>1/2</b></sup><b>]&nbsp;&nbsp; &lt; 2.0</b>&nbsp;</p>", "minValue": "k-0.005", "maxValue": "k+0.005", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "precisionType": "dp", "precision": "2", "precisionPartialCredit": "90", "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": true, "customName": "Calculate \u03c11", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [{"variable": "eff_depth", "part": "p0", "must_go_first": false}], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Calculate&nbsp;<b>&rho;</b><b>1</b><b> = A</b><sub><b>s1</b></sub><b>/(</b><b>bd</b><b>)</b></p>", "minValue": "row1-0.0002", "maxValue": "row1+0.0002", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "precisionType": "dp", "precision": "4", "precisionPartialCredit": "90", "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": true, "showPrecisionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": true, "customName": "Calculate VRd,c", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [{"variable": "eff_depth", "part": "p0", "must_go_first": false}, {"variable": "k", "part": "p1", "must_go_first": false}, {"variable": "row1", "part": "p2", "must_go_first": false}], "variableReplacementStrategy": "alwaysreplace", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Calculate&nbsp;<b>V</b><sub><b>Rd,c</b></sub><b> = [0.12 k (100*&rho;</b><b>1*</b><b>f</b><b>ck</b><b>)</b><sup><b>1/3</b></sup><b> ] </b><b>b.d</b>&nbsp;&nbsp;</p>\n<p>Provide your answer in kN</p>", "minValue": "VRdc-2", "maxValue": "VRdc+2", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "precisionType": "dp", "precision": "1", "precisionPartialCredit": 0, "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": true, "customName": "Calculate VRd,c min", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [{"variable": "eff_depth", "part": "p0", "must_go_first": false}, {"variable": "k", "part": "p1", "must_go_first": false}], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Calculate&nbsp;&nbsp;<b>V</b><sub><b>Rd,c min </b></sub>=<sub><b>&nbsp;</b></sub>[0.035k<sup>3/2</sup>&nbsp;* fck<sup>1/2</sup>] b.d</p>\n<p>Provide your answer in kN</p>", "minValue": "VRdcmin-1", "maxValue": "VRdcmin+1", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "precisionType": "dp", "precision": "1", "precisionPartialCredit": "90", "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": true, "customName": "VRd,c or VRd,c min", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [{"variable": "VRdc", "part": "p3", "must_go_first": false}, {"variable": "VRdcmin", "part": "p4", "must_go_first": false}], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Which calculated value do we use in design?&nbsp;</p>\n<p>Provide your answer in kN</p>", "minValue": "VRdc_used-1", "maxValue": "VRdc_used+1", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "precisionType": "dp", "precision": "1", "precisionPartialCredit": "90", "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "Maximum Design Shear Force that can be carried without crushing of concrete, VRd,max", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Patrick Crean", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/8267/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "<p>Calculate the maximum design shear force, V<sub>Rd,max</sub> that can be carried without crushing of the concrete.</p>\n<p>Note: Assume links are to be provided in the beam</p>\n<ul>\n<li>D = {D}mm</li>\n<li>B = {B}mm</li>\n<li>Cover = {Cover}mm</li>\n<li>Reinforcement = 3 No. H{Bar_Dia} Bars</li>\n<li>Link diameter = {Link_Dia}mm</li>\n<li>Characteristic Strength of Concrete. f<sub>ck</sub> = {fck}N/mm<sup>2</sup></li>\n</ul>", "advice": "", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"D": {"name": "D", "group": "Ungrouped variables", "definition": "random(350 .. 700#25)", "description": "<p>Overall Depth of Beam</p>", "templateType": "randrange", "can_override": false}, "B": {"name": "B", "group": "Ungrouped variables", "definition": "random(200 .. 400#25)", "description": "<p>Width of Beam</p>", "templateType": "randrange", "can_override": false}, "eff_depth": {"name": "eff_depth", "group": "Ungrouped variables", "definition": "D-Cover-Link_Dia-(Bar_dia*0.5)", "description": "<p>Effective depth</p>", "templateType": "anything", "can_override": false}, "Cover": {"name": "Cover", "group": "Ungrouped variables", "definition": "random(25 .. 50#5)", "description": "<p>Cover to links</p>", "templateType": "randrange", "can_override": false}, "Bar_Dia": {"name": "Bar_Dia", "group": "Ungrouped variables", "definition": "random(20 .. 25#5)", "description": "<p>Main Reinforcement Bar Diameter</p>", "templateType": "randrange", "can_override": false}, "Link_Dia": {"name": "Link_Dia", "group": "Ungrouped variables", "definition": "random(8 .. 12#2)", "description": "<p>Diameter of Link</p>", "templateType": "randrange", "can_override": false}, "fck": {"name": "fck", "group": "Ungrouped variables", "definition": "random(32 .. 40#8)", "description": "<p>Characteristic Strength of Concrete</p>", "templateType": "randrange", "can_override": false}, "Omega": {"name": "Omega", "group": "Ungrouped variables", "definition": "random(22 .. 45#23)", "description": "<p>Omega</p>", "templateType": "randrange", "can_override": false}, "VRdmax_22": {"name": "VRdmax_22", "group": "Ungrouped variables", "definition": "0.124*B*eff_depth*(1-(fck/250))*fck*0.001", "description": "<p>Max design shear force at 22deg</p>", "templateType": "anything", "can_override": false}, "VRdmax_45": {"name": "VRdmax_45", "group": "Ungrouped variables", "definition": "0.18*B*eff_depth*(1-(fck/250))*fck*0.001", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["D", "B", "eff_depth", "Cover", "Bar_Dia", "Link_Dia", "fck", "Omega", "VRdmax_22", "VRdmax_45"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "numberentry", "useCustomName": true, "customName": "Effective depth", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Calculate the effective depth of the beam in mm</p>", "minValue": "eff_depth-1", "maxValue": "eff_depth+1", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "precisionType": "dp", "precision": "1", "precisionPartialCredit": 0, "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": true, "customName": "VRd,max 22deg", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [{"variable": "eff_depth", "part": "p0", "must_go_first": false}], "variableReplacementStrategy": "alwaysreplace", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Calculate V<sub>Rd,max</sub>&nbsp;at an angle,&nbsp;&theta; =22 degrees, for the beam</p>\n<p>Provide your answer in kN</p>", "minValue": "VRdmax_22-2", "maxValue": "VRdmax_22+2", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "precisionType": "dp", "precision": "0", "precisionPartialCredit": "90", "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": true, "customName": "VRd,max 45deg", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [{"variable": "eff_depth", "part": "p0", "must_go_first": false}], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Calculate V<sub>Rd,max</sub>&nbsp;at an angle,&nbsp;&theta; =45 degrees, for the beam</p>\n<p>Provide your answer in kN</p>", "minValue": "VRdmax_45-2", "maxValue": "VRdmax_45+2", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, 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