V-M 4a: Combined loads, no diagrams

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William Haynes

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2 years, 10 months ago

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Created this as a copy of V-M 4: Combined loads.

Name	Status	Author	Last Modified
V-M 1: Concentrated forces	Ready to use	William Haynes	16/08/2024 19:05
V-M 5: Symmetric parabolic loading	Ready to use	William Haynes	08/03/2025 17:57
V-M 4: Combined loads	Ready to use	William Haynes	16/08/2024 19:13
V-M 2: Concentrated moments	Ready to use	William Haynes	04/05/2022 23:54
V-M 5a: Arbitrary parabolic loading	Ready to use	William Haynes	08/03/2025 18:07
V-M 1a: Concentrated forces, no diagrams	Ready to use	William Haynes	16/08/2024 19:08
V-M 2a: Concentrated moments, no diagrams	Ready to use	William Haynes	05/05/2022 00:14
V-M 4a: Combined loads, no diagrams	Ready to use	William Haynes	27/11/2024 15:38

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Question 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}

Give any introductory information the student needs.

			Name	Type	Generated Value

ggb_function	ggbapplet	HTML node
beamLen	integer	16
range	list	[ 0, 8, 10, 14, 16 ]
dots	list	[ 0, 16, 4 ]
A	integer	2
B	integer	12
C	integer	0
D	integer	16
EE	integer	4
P_C	integer	-60
units	list	[ "ft", "lb" ]
w	integer	20

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
geogebra_function()

JME function reference

This variable is an interactive HTML node. Interactive HTML nodes can not be relied upon to work correctly when resuming a session - for example, attached event callbacks will be lost, and mathematical notation will likely also break.

If this causes problems, try to create HTML nodes where you use them in content areas, instead of storing them in variables.

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 ))')]

])

Describe what this variable represents, and list any assumptions made about its value.

Can an exam override the value of this variable?

Generated value: `ggbapplet`

GeoGebra applet loading...

→ Used by:

Statement

Parts

Reactions Gap-fill
1. Gap A Engineering Accuracy with units
  Add
2. Gap B Engineering Accuracy with units
  Add
Maximum internal load Gap-fill
1. Gap V_max Engineering Accuracy with units
  Add
2. Gap M_max Engineering Accuracy with units
  Add

Gap-fill

Ask the student a question, and give any hints about how they should answer this part.

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

$A= $ A $\qquad B = $ B

Advice

Give a worked solution to the whole question.

Use this tab to check that this question works as expected.

There was an error which means the tests can't run:

Part	Test	Passed?
Gap-fill
Gap-fill		Hasn't run yet
Engineering Accuracy with units
Engineering Accuracy with units		Hasn't run yet
Engineering Accuracy with units
Engineering Accuracy with units		Hasn't run yet
Gap-fill
Gap-fill		Hasn't run yet
Engineering Accuracy with units
Engineering Accuracy with units		Hasn't run yet
Engineering Accuracy with units
Engineering Accuracy with units		Hasn't run yet

This question is used in the following exams:

Chapter 08 Exercises by Michael Proudman in Engineering Statics.
41. VM Concentrated Moments by Michael Proudman in Engineering Statics.
40. VM Concentrated Moments by William Haynes in Engineering Statics.
Chapter 8 Exercises by William Haynes in Engineering Statics.

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Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Checkpoint description

William Haynes 2 years, 10 months ago

William Haynes 2 years, 10 months ago

William Haynes 4 years, 2 months ago

William Haynes 4 years, 3 months ago

William Haynes 4 years, 3 months ago

Error in variable testing condition

Error

Warning

Generated value: `ggbapplet`

Parts

Gap-fill

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V-M 4a: Combined loads, no diagrams

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

William Haynes 2 years, 10 months ago

William Haynes 2 years, 10 months ago

William Haynes 4 years, 2 months ago

William Haynes 4 years, 3 months ago

William Haynes 4 years, 3 months ago

Error in variable testing condition

Error

Warning

Generated value: ggbapplet

Parts

Gap-fill

Generated value: `ggbapplet`