Consider the frame shown in (Figure 1). Suppose that P = 35 kN.Solve this problem using Castigliano's theorem. EI is constant.Assume that EI is in kN. m².FigureP-xус3m4m4m< 1 of 1Determine the slope at A measured counterclockwise from the positive y axis.Express your answer using three significant figures.Η ΑΣΦ0₁SubmitPart CΔΒSubmitRequest AnswerProvide FeedbackDetermine the vertical displacement at B measured upward.Express your answer using three significant figures. Enter positive value if the displacement is upward and negative value if the displacement is downward.15. ΑΣΦ ↓↑vecRequest Answer?veckN-m²ΕΙ?kN.m³ΕΙNext >

##Calculation of slope At A and ###Vertical Displacement At B Using Castigliano's Theorem ###

Answered: Consider the frame shown in (Eigure 1).…

Consider the frame shown in (Eigure 1). Suppose that P = 35 kN. Solve this problem using Castigliano's theorem. EI is constant. Assume that EI is in kN. m².

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Equilibrium and Support Reactions

Civil engineers deal with structures that are composed of several members connected or with individual members such as beams and columns. To analyze such structures, the condition of statics must be applied. Under the static condition, the members are considered to be in equilibrium under the action of forces, that is, the members are assumed to be having negligible velocity.

Question

Consider the frame shown in (Figure 1). Suppose that P = 35 kN.
Solve this problem using Castigliano's theorem. EI is constant.
Assume that EI is in kN. m².
Figure
P
-x
ус
3m
4m
4m
< 1 of 1
Determine the slope at A measured counterclockwise from the positive y axis.
Express your answer using three significant figures.
Η ΑΣΦ
0₁
Submit
Part C
ΔΒ
Submit
Request Answer
Provide Feedback
Determine the vertical displacement at B measured upward.
Express your answer using three significant figures. Enter positive value if the displacement is upward and negative value if the displacement is downward.
15. ΑΣΦ ↓↑
vec
Request Answer
?
vec
kN-m²
ΕΙ
?
kN.m³
ΕΙ
Next >

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Step 3: Castigliano's integration for slope at A

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Step 4: Calculation for vertical displacement at B

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Step 5: Castigliano's integration for displacement at B

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