Consider the truss shown in (Figure 1). Assume the members are pin connected at their end points. Take A = 200 mm² and E= 200 GPa for each member. Suppose that F= 14 kN. Figure 4m E 4 m 24 kN B 4 m. F 1 of 1 > ▶ Part A Part B A₁ = 47.6 Determine the vertical displacement of joint C' measured downward. Use the method of virtual work. Express your answer to three significant figures and include the appropriate units. Enter positive value if the displacement is downward and negative value if the displacement is upward. HÅ X Incorrect; Try Again Provide Feedback mm Submit Previous Answers Request Answer [www] Review ? ✓ Next >

Consider the truss shown in (Figure 1). Assume the members are pin connected at their end points. Take A = 200 mm² and E= 200 GPa for each member. Suppose that F= 14 kN. Figure 4m E 4 m 24 kN B 4 m. F 1 of 1 > ▶ Part A Part B A₁ = 47.6 Determine the vertical displacement of joint C' measured downward. Use the method of virtual work. Express your answer to three significant figures and include the appropriate units. Enter positive value if the displacement is downward and negative value if the displacement is upward. HÅ X Incorrect; Try Again Provide Feedback mm Submit Previous Answers Request Answer [www] Review ? ✓ Next >

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

Matrix Algebra for Structural analysis

Structural analysis is a process in which the effects of different loads and internal forces, acting on structures and their elements are determined. This method of analysis is effective in detecting the failure loads of the structural elements and the design can be altered before commencing the construction process, which ensures proper strength and safety of the structures.

Question

Consider the truss shown in (Figure 1). Assume the members are pin
connected at their end points. Take A = 200 mm² and E = 200 GPa
for each member. Suppose that F = 14 kN.
Figure
4 m
E
4 m
24 kN
B
4 m
< 1 of 1
F
▶
Part A
Part B
Determine the vertical displacement of joint C' measured downward. Use the method of virtual work.
Express your answer to three significant figures and include the appropriate units. Enter positive value if the displacement is downward and negative value if
the displacement is upward.
ΔΑ =
47.6
μÃ
Submit Previous Answers Request Answer
X Incorrect; Try Again
Provide Feedback
mm
Review
?
Next >

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Step 1: State the given data

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Step 2: Determine the length of the members

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Step 3: Determine the members force due to actual load using method of joints

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Step 4: Taking joint D (for actual load)

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Step 5: Determine the members force due to unit virtual load at C

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Step 6: Taking joint D (for virtual load)

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Step 7: Determine the vertical displacement of joint C

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