1) Find the vertical deflection at joint D in mm? You are given the truss and loading below. Find the value of downward deflection at point C. Use E = 200 GPa and A = 300 mm².GFA||———4mHB3 kN4 mC4 kN4mD3 kN4 m3 mE-Apply the 4-step process:1. Calculate the axial forces for the applied load. This requires a full solution of the truss by the method of joints.2. Apply the unit load at the location of and in the direction of the desired displacement.3. Calculate the axial forces for the unit load. This requires another full solution of the truss by the method of joints.4. Compute the deflection using a spreadsheet to simplify the calculations.Here are a few partial answers to check your work along the way:• Real force in member BG = -10/3 kN (negative indicates compression)• Real force in member DE = 20/3 kN (positive indicates tension)• Virtual force in member BG = -5/6• Virtual force in member DE = 2/3

Free body diagram: Compute the support reactions: ΣFx=0HA=0RA=5 kNRE=5 kN Inclined member length:

Answered: 1) Find the vertical deflection at…

Engineering

Civil Engineering

1) Find the vertical deflection at joint D in mm?

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

Beams and Frames

A beam is a horizontal structure or a member which is always subjected to transverse shear loads.

Question

1) Find the vertical deflection at joint D in mm?

You are given the truss and loading below. Find the value of downward deflection at point C. Use E = 200 GPa and A = 300 mm².
G
F
A
||———4m
H
B
3 kN
4 m
C
4 kN
4m
D
3 kN
4 m
3 m
E-
Apply the 4-step process:
1. Calculate the axial forces for the applied load. This requires a full solution of the truss by the method of joints.
2. Apply the unit load at the location of and in the direction of the desired displacement.
3. Calculate the axial forces for the unit load. This requires another full solution of the truss by the method of joints.
4. Compute the deflection using a spreadsheet to simplify the calculations.
Here are a few partial answers to check your work along the way:
• Real force in member BG = -10/3 kN (negative indicates compression)
• Real force in member DE = 20/3 kN (positive indicates tension)
• Virtual force in member BG = -5/6
• Virtual force in member DE = 2/3

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Step 2: Method of joints:

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Step 3: Continuing:

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Step 4: Unit load at D:

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Step 5: Continuing:

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Step 6: Deflection at D:

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Step 7: Continuing:

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