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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. H G 3 m A B D 4 m 4 m 4 m 4 m 3 kN 3 kN 4 kN 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 i 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 Once you have an answer in mm for the deflection at point C, enter it 1 What is the real force in member GH (tension positive)? Type your answer. What is the virtual force in member GH (tension positive)? Type your answer. 3 What is cne value ot downward deflection at C (positive value) Type your answer.

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. H G 3 m A B D 4 m 4 m 4 m 4 m 3 kN 3 kN 4 kN 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 i 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 Once you have an answer in mm for the deflection at point C, enter it 1 What is the real force in member GH (tension positive)? Type your answer. What is the virtual force in member GH (tension positive)? Type your answer. 3 What is cne value ot downward deflection at C (positive value) Type your answer.

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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Structural mechanics 

### Truss Analysis and Deflection Calculation **Problem Statement:** You are given the truss and loading below. Find the value of downward deflection at point C. Use \( E = 200 \) GPa and \( A = 300 \) mm\(^2\). #### Truss Diagram Description: - The truss is a symmetrical structure with joints labeled A through H. - Members are positioned horizontally, vertically, and diagonally to connect the joints. - The truss is supported at joints A and E with external loads applied at joints B, C, and D. #### Load Details: - Joint B: 3 kN downward - Joint C: 4 kN downward - Joint D: 3 kN downward - Horizontal spans between joints: 4m - Vertical heights: 3m #### Solution Process: **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.** **Partial Answers for Verification:** - 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 kN - Virtual force in member DE = 2/3 kN **Questions for Solution Verification:** 1. **What is the real force in member GH (tension positive)?** - Type your answer… 2. **What is the virtual force in member GH (tension positive)?** - Type your answer… 3. **What is the value of downward deflection at C (positive value)?** - Type your answer… #### Instructions: Once you have an answer in mm for the deflection at point C, enter it in the provided space. **Note:** This exercise demonstrates the process of calculating truss deflections using unit load and real load methods, combining theoretical computations with practical verification.
Transcribed Image Text:### Truss Analysis and Deflection Calculation **Problem Statement:** You are given the truss and loading below. Find the value of downward deflection at point C. Use \( E = 200 \) GPa and \( A = 300 \) mm\(^2\). #### Truss Diagram Description: - The truss is a symmetrical structure with joints labeled A through H. - Members are positioned horizontally, vertically, and diagonally to connect the joints. - The truss is supported at joints A and E with external loads applied at joints B, C, and D. #### Load Details: - Joint B: 3 kN downward - Joint C: 4 kN downward - Joint D: 3 kN downward - Horizontal spans between joints: 4m - Vertical heights: 3m #### Solution Process: **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.** **Partial Answers for Verification:** - 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 kN - Virtual force in member DE = 2/3 kN **Questions for Solution Verification:** 1. **What is the real force in member GH (tension positive)?** - Type your answer… 2. **What is the virtual force in member GH (tension positive)?** - Type your answer… 3. **What is the value of downward deflection at C (positive value)?** - Type your answer… #### Instructions: Once you have an answer in mm for the deflection at point C, enter it in the provided space. **Note:** This exercise demonstrates the process of calculating truss deflections using unit load and real load methods, combining theoretical computations with practical verification.
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