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

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

Structural Analysis
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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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
Transcribed Image Text: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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