V and M function - concentrated loads - Numbas at mathcentre.ac.uk

Error

There was an error loading the page.

Contributors

William Haynes

Feedback

From users who are members of Engineering Statics :

William Haynes

said

Ready to use

3 years, 11 months ago

History

○

William Haynes 2 years, 9 months ago

Saved a checkpoint:

Changed accuracy to 3 signifigant figures for equations.

Restore this checkpoint

○

William Haynes 3 years, 11 months ago

Published this.

○

William Haynes 3 years, 11 months ago

Gave some feedback: Ready to use

○

William Haynes 3 years, 11 months ago

Created this.

There is only one version of this question that you have access to.

There are 5 other versions that do you not have access to.

Question statement

{geogebra_applet('q3smfcdv',[['B', vector(d1,0)], ['C', vector(d2,0)]])}

The 12 m long beam is loaded with {B} kN at $B$ and {C} kN at $C$.

Give any introductory information the student needs.

			Name	Type	Generated Value

D	rational	775/2
A	rational	725/2
V1	rational	725/2
V2	rational	325/2
V3	rational	-775/2
M1	expression	(725/2)x
M2	expression	(725/2)x - 200(x - 4)
M3	expression	(725/2)x - 200x + 4650 - 550x
A'	quantity	quantity(362, "kN")

			Name	Type	Generated Value

B	integer	200
C	integer	550
d1	integer	4
d2	integer	7

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
(b d1 + c d2)/12

JME function reference

Description

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

Can an exam override the value of this variable?

Generated value: `rational`

775/2

← Depends on:

→ Used by:

Parts

Section 1 Gap-fill
1. Gap M_1 Mathematical expression
  Add
2. Gap V_1 Mathematical expression
  Add
Section 2 Gap-fill
1. Gap M_2 Mathematical expression
  Add
2. Gap V_2 Mathematical expression
  Add
Section 3 Gap-fill
1. Gap M_3 Mathematical expression
  Add
2. Gap V_3 Mathematical expression
  Add

Gap-fill

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

Find the shear and bending moment as functions of $x$ on the range: $0 \text{ m}< x < \var{d1}$ m

$V_1(x)$ = V_1 kN $\qquad M_1(x)$ = M_1 kN-m

Advice

1. Draw a FBD of the whole beam and take moments at $D$ to find $A = \var{A'}$.

2. Take cuts in each of the three segments, and draw three free-body diagrams. Show internal shear and moment at the cut with the standard sign convention.

3. For each FBD, apply $\Sigma F_y = 0$ and $\Sigma M_\text{cut}=0$ to determine the $V(x)$ and $M(x)$ as a function of the forces and $x$.

Give a worked solution to the whole question.

URL

Text alternative

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
Mathematical expression
Mathematical expression		Hasn't run yet
Mathematical expression
Mathematical expression		Hasn't run yet
Gap-fill
Gap-fill		Hasn't run yet
Mathematical expression
Mathematical expression		Hasn't run yet
Mathematical expression
Mathematical expression		Hasn't run yet
Gap-fill
Gap-fill		Hasn't run yet
Mathematical expression
Mathematical expression		Hasn't run yet
Mathematical expression
Mathematical expression		Hasn't run yet

This question is used in the following exams:

Loading...

Error

V and M function - concentrated loads

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

William Haynes 2 years, 9 months ago

William Haynes 3 years, 11 months ago

William Haynes 3 years, 11 months ago

William Haynes 3 years, 11 months ago

Error in variable testing condition

Error

Warning

Generated value: `rational`

Parts

Gap-fill

Loading...

Error

V and M function - concentrated loads

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

William Haynes 2 years, 9 months ago

William Haynes 3 years, 11 months ago

William Haynes 3 years, 11 months ago

William Haynes 3 years, 11 months ago

Error in variable testing condition

Error

Warning

Generated value: rational

Parts

Gap-fill

Generated value: `rational`