// Numbas version: exam_results_page_options {"name": "Quiz 3-1", "extensions": [], "custom_part_types": [], "resources": [["question-resources/Q3-1_Egz8eNf.JPG", "/srv/numbas/media/question-resources/Q3-1_Egz8eNf.JPG"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Quiz 3-1", "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "
The rigid bar BCE is supported by two links AB and CD as shown in Figure 1. The Link AB is made of aluminum (E = 70 GPa) and the link CD is steel (E = 200 GPa). Both links have a Width= {rw} mm x thickness= {rt} mm rectangular cross-section. Each of the four pins A, B, C and D has a {dia} mm diameter.
\nFor the {For} kN force at point E,
\n\n", "advice": "", "rulesets": {}, "extensions": [], "variables": {"rw": {"name": "rw", "group": "Ungrouped variables", "definition": "random(20 .. 40#5)", "description": "", "templateType": "randrange"}, "rt": {"name": "rt", "group": "Ungrouped variables", "definition": "random(5 .. 7#1)", "description": "", "templateType": "randrange"}, "dia": {"name": "dia", "group": "Ungrouped variables", "definition": "random(4 .. 7#1)", "description": "d
", "templateType": "randrange"}, "For": {"name": "For", "group": "Ungrouped variables", "definition": "random(10 .. 20#5)", "description": "", "templateType": "randrange"}, "Rcd": {"name": "Rcd", "group": "Ungrouped variables", "definition": "-For*5/2", "description": "", "templateType": "anything"}, "Rab": {"name": "Rab", "group": "Ungrouped variables", "definition": "-Rcd-For", "description": "", "templateType": "anything"}, "sigAB": {"name": "sigAB", "group": "Ungrouped variables", "definition": "Rab*1000/((rw*rt)-(dia*rt))", "description": "", "templateType": "anything"}, "sigCD": {"name": "sigCD", "group": "Ungrouped variables", "definition": "Rcd*1000/(rw*rt)", "description": "", "templateType": "anything"}, "defAB": {"name": "defAB", "group": "Ungrouped variables", "definition": "Rab*1000*500/((rw*rt)*70000)", "description": "", "templateType": "anything"}, "defCD": {"name": "defCD", "group": "Ungrouped variables", "definition": "Rcd*1000*500/((rw*rt)*200000)", "description": "", "templateType": "anything"}, "bearCD": {"name": "bearCD", "group": "Ungrouped variables", "definition": "abs(Rcd*1000/(dia*rt))", "description": "", "templateType": "anything"}, "shearA": {"name": "shearA", "group": "Ungrouped variables", "definition": "Rab*1000/((pi*dia/2)^2)", "description": "", "templateType": "anything"}, "tol": {"name": "tol", "group": "Ungrouped variables", "definition": "0.02", "description": "to
", "templateType": "number"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["rw", "rt", "dia", "For", "Rcd", "Rab", "sigAB", "sigCD", "defAB", "defCD", "bearCD", "shearA", "tol"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "prompt": "Determine the reaction of link CD in kN.
\n[[0]] kN
\nPlease insert + or – sign which indicates the tensile or compressive force, respectively.
", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "minValue": "Rcd-Rcd*tol", "maxValue": "Rcd+Rcd*tol", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "prompt": "Determine the reaction of link AB in kN.
\n[[0]] kN
\nPlease insert + or – sign which indicates the tensile or compressive force, respectively.
", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "minValue": "Rab-Rab*tol", "maxValue": "Rab+Rab*tol", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "prompt": "determine the maximum stress in the link CD in MPa.
\nσCD =
\n[[0]] MPa
\nPlease insert + or – sign which indicates the tensile or compressive stress, respectively.
", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "minValue": "sigCD-sigCD*tol", "maxValue": "sigCD+sigCD*tol", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "prompt": "determine the maximum stress in the link AB in MPa.
\nσAB =
\n[[0]] MPa
\nPlease insert + or – sign which indicates the tensile or compressive stress, respectively.
", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "minValue": "SigAB-SigAB*tol", "maxValue": "SigAB+SigAB*tol", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "prompt": "Determine the change in length of link AB in mm
\nδAB =
\n[[0]] mm
\nPlease insert + or – sign which indicates Elongated or Shortened, respectively.
", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "minValue": "defAB-defAB*tol", "maxValue": "defAB+defAB*tol", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "prompt": "Determine the change in length of link CD in mm
\nδCD =
\n[[0]] mm
\nPlease insert + or – sign which indicates ElongatedorShortened, respectively.
", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "minValue": "defCD-defCD*tol", "maxValue": "defCD+defCD*tol", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "prompt": "Determine the bearing stress at D in member CD
\nδD =
\n[[0]]MPa
", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "minValue": "bearCD-bearCD*tol", "maxValue": "bearCD+bearCD*tol", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "prompt": "Determine the maximum shear stress in the pin at A in MPa.
\nτA =
\n[[0]]MPa
", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "showCorrectAnswer": true, "showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "minValue": "shearA-shearA*tol", "maxValue": "shearA+shearA*tol", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}], "contributors": [{"name": "Jeung-Hwan Doh", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4120/"}]}]}], "contributors": [{"name": "Jeung-Hwan Doh", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4120/"}]}