fl m→ -2.0 m- e total deflection at B. [Hint: Use
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
![|4.0 kN
1.5 kN/m
Q: A cantilever beam is loaded as shown
in the figure. The beam has a constant
flexural rigidity, El = 2000 kNm?.
|A
В
1.0 m→-1
<1.0 m→-
2.0 m
a). Determine the total deflection at B. [Hint: Use principle of superposition]
b). Consider two cases.
1. El = 4000 kNm² from A to mid-span & El = 2000 KNM² from mid-span to B
2. EI
2000 kNm² from A to mid-span & EI
4000 kNm² from mid-span to B
In which case the deflection is lower? Why? (answer logically, no calculations)
You can directly use cantilever [free end deflection] & [free end slope] for a load:
1. W concentrated load at the free end:
3EI
[WL3]
[W 2"
and
2EI
2. w UDL over the full span:
[8EI
[WL4°
wL3
and
.6EI.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc4d0fcc5-e8b5-4fbb-9028-a0aa2bc2ceb5%2F6400a5e6-3705-4c4e-95a7-a48502c1f71e%2Ftkz713c_processed.png&w=3840&q=75)
Transcribed Image Text:|4.0 kN
1.5 kN/m
Q: A cantilever beam is loaded as shown
in the figure. The beam has a constant
flexural rigidity, El = 2000 kNm?.
|A
В
1.0 m→-1
<1.0 m→-
2.0 m
a). Determine the total deflection at B. [Hint: Use principle of superposition]
b). Consider two cases.
1. El = 4000 kNm² from A to mid-span & El = 2000 KNM² from mid-span to B
2. EI
2000 kNm² from A to mid-span & EI
4000 kNm² from mid-span to B
In which case the deflection is lower? Why? (answer logically, no calculations)
You can directly use cantilever [free end deflection] & [free end slope] for a load:
1. W concentrated load at the free end:
3EI
[WL3]
[W 2"
and
2EI
2. w UDL over the full span:
[8EI
[WL4°
wL3
and
.6EI.
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