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Euler-Bernoulli simply supported beam bending example with point force and moment.
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England schools
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England university
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Scotland schools
Taxonomy: mathcentre
Taxonomy: Kind of activity
Taxonomy: Context
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said | Ready to use | 4 years ago |
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Francis Franklin 4 years ago
Gave some feedback: Ready to use
Francis Franklin 4 years ago
Published this.Francis Franklin 4 years ago
Gave some feedback: Needs to be tested
Francis Franklin 4 years ago
Created this.There is only one version of this question that you have access to.
There is one other version that you do not have access to.
Name | Type | Generated Value |
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L1 | integer |
40
|
||||
L2 | integer |
10
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||||
L3 | integer |
20
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||||
L4 | integer |
70
|
||||
L5 | integer |
60
|
||||
F | integer |
700
|
||||
M | rational |
315
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||||
RR | rational |
385
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||||
RL | rational |
315
|
||||
width | integer |
11
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||||
d | integer |
16
|
||||
YEM | integer |
130
|
||||
I2 | rational |
1408/375
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||||
I2_3sf | decimal |
dec("3.75")
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||||
A | rational |
-357/8
|
||||
A_3sf | decimal |
dec("-44.6")
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||||
B | rational |
357/20
|
||||
B_3sf | decimal |
dec("17.9")
|
||||
x | rational |
2
|
||||
v | decimal |
dec("6.130832058566447907561188811188811188811")
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||||
v_3sf | decimal |
dec("6.13")
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||||
Mmax | decimal |
dec("269.5")
|
||||
Mmax_3sf | decimal |
dec("270")
|
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stress | decimal |
dec("57.4")
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Generated value: integer
- B
- v
- x
- "Beam displacement & max bending moment" - prompt
Gap-fill
Ask the student a question, and give any hints about how they should answer this part.
The beam shown above has a solid rectangular section with width {width}cm and thickness {d}mm. The material is uniform with Young's elastic modulus {YEM}GPa. The applied (downwards) force is {F}N and the applied moment is {M}Nm.
The dimensions shown in the illustration are: L1={L1}cm, L2={L2}cm, L3={L3}cm, L4={L4}cm and L5={L5}cm.
Determine:
- the reaction at the left, RL=
RL [N]; - the reaction at the right, RR=
RR [N]; - the second moment of area of the beam, I2=
I2 [cm4]; - the maximum (absolute, i.e., ignoring sign) bending moment:
Mmax [Nm]; - the maximum (absolute, i.e., ignoring sign) axial stress:
stress [MPa]; - the constant of integration in the gradient equation, A=
A ; - the constant of integration in the displacement equation, B=
B [m]; and - the vertical displacement (positive is upwards) of the right-hand end of the beam:
v [mm].
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