Consider the following beam with overhangs: A B C X. PL³ EI L D P L L Calculate the deflection at A (the end opposite of the load) and at D (under the load). Assume that both deflections are downward. The answers will be of the form You must provide the value of X. For example, if the answer is PL, enter "0.05" (1/20) in the Canvas quiz. 20-EI' Here are a few hints. You'll have to break up the integral over three segments (A to B, B to C, and C to D). On several spans, one of the moment diagrams will be zero. Remember that the definite integral of zero is equal to zero, i.e., Oda = 0. All the remaining integrals should involve triangles with integration factors of 1/3 and 1/6.
Consider the following beam with overhangs: A B C X. PL³ EI L D P L L Calculate the deflection at A (the end opposite of the load) and at D (under the load). Assume that both deflections are downward. The answers will be of the form You must provide the value of X. For example, if the answer is PL, enter "0.05" (1/20) in the Canvas quiz. 20-EI' Here are a few hints. You'll have to break up the integral over three segments (A to B, B to C, and C to D). On several spans, one of the moment diagrams will be zero. Remember that the definite integral of zero is equal to zero, i.e., Oda = 0. All the remaining integrals should involve triangles with integration factors of 1/3 and 1/6.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
Determine X for the deflection at D.
Determine X for the deflection at A.
Show your work neatly please.
Transcribed Image Text:Consider the following beam with overhangs:
A
B
X. PL³
EI
C
L
L
Calculate the deflection at A (the end opposite of the load) and at D (under the load). Assume that both deflections are downward. The answers
will be of the form
You must provide the value of X. For example, if the answer is PL³
20-EI'
L
D
enter "0.05" (1/20) in the Canvas quiz.
Here are a few hints. You'll have to break up the integral over three segments (A to B, B to C, and C to D). On several spans, one of the moment
diagrams will be zero. Remember that the definite integral of zero is equal to zero, i.e., f Odx = 0. All the remaining integrals should involve
triangles with integration factors of 1/3 and 1/6.
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