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(3) and (4) Determine the reactions at supports. Assume "E" is constant. Draw the moment diagrams for each frame. Select the reaction at A as the redundant for both problems. 12 ft B 8 ft 30 k-ft 6 k 8 ft (3) Frame (3): "C" is fixed and "A" is a rocker Frame (4): "C" is fixed and "A" is a roller A 6 m- (4) 18 kN/m B C 4 m

(3) and (4) Determine the reactions at supports. Assume "E" is constant. Draw the moment diagrams for each frame. Select the reaction at A as the redundant for both problems. 12 ft B 8 ft 30 k-ft 6 k 8 ft (3) Frame (3): "C" is fixed and "A" is a rocker Frame (4): "C" is fixed and "A" is a roller A 6 m- (4) 18 kN/m B C 4 m

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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### Frame Analysis and Moment Diagrams **Objective:** Determine the reactions at the supports for the frames and draw the moment diagrams. Use the reaction at A as the redundant for both problems, assuming that the flexural rigidity \( EI \) is constant. --- #### Frame (3) - **Description:** - A vertical member \( AC \) and horizontal member \( BC \) structured in an L-shape. - Dimensions: \( AB = 12 \, \text{ft} \), \( BC = 16 \, \text{ft} \) (8 ft on each side of the applied load). - Loads: - A moment of \( 30 \, \text{k-ft} \) applied at support \( A \). - A concentrated load of \( 6 \, \text{k} \) applied vertically downward at a point 8 feet from \( C \) on the horizontal member. - **Support Conditions:** - \( C \) is fixed. - \( A \) is a rocker support. --- #### Frame (4) - **Description:** - Similar L-shaped structure with vertical member \( AC \) and horizontal member \( AB \). - Dimensions: \( AB = 6 \, \text{m} \), \( BC = 4 \, \text{m} \). - Loads: - A varying distributed load from \( 0 \, \text{kN/m} \) to \( 18 \, \text{kN/m} \) over the horizontal member \( AB \). - **Support Conditions:** - \( C \) is fixed. - \( A \) is a roller support. --- **Approach:** 1. **Determine Reactions:** - Use equilibrium equations to find the reactions at the supports \( A \) and \( C \) for both frames. 2. **Draw Moment Diagrams:** - Plot the bending moment along the members for each frame. **Note:** Focus on reaction at \( A \) as the redundant reaction point for simplifying the structure analysis. This setup allows for analyzing how different types of supports (rocker vs. roller) and loads affect stability and force distribution in structural frames.
Transcribed Image Text:### Frame Analysis and Moment Diagrams **Objective:** Determine the reactions at the supports for the frames and draw the moment diagrams. Use the reaction at A as the redundant for both problems, assuming that the flexural rigidity \( EI \) is constant. --- #### Frame (3) - **Description:** - A vertical member \( AC \) and horizontal member \( BC \) structured in an L-shape. - Dimensions: \( AB = 12 \, \text{ft} \), \( BC = 16 \, \text{ft} \) (8 ft on each side of the applied load). - Loads: - A moment of \( 30 \, \text{k-ft} \) applied at support \( A \). - A concentrated load of \( 6 \, \text{k} \) applied vertically downward at a point 8 feet from \( C \) on the horizontal member. - **Support Conditions:** - \( C \) is fixed. - \( A \) is a rocker support. --- #### Frame (4) - **Description:** - Similar L-shaped structure with vertical member \( AC \) and horizontal member \( AB \). - Dimensions: \( AB = 6 \, \text{m} \), \( BC = 4 \, \text{m} \). - Loads: - A varying distributed load from \( 0 \, \text{kN/m} \) to \( 18 \, \text{kN/m} \) over the horizontal member \( AB \). - **Support Conditions:** - \( C \) is fixed. - \( A \) is a roller support. --- **Approach:** 1. **Determine Reactions:** - Use equilibrium equations to find the reactions at the supports \( A \) and \( C \) for both frames. 2. **Draw Moment Diagrams:** - Plot the bending moment along the members for each frame. **Note:** Focus on reaction at \( A \) as the redundant reaction point for simplifying the structure analysis. This setup allows for analyzing how different types of supports (rocker vs. roller) and loads affect stability and force distribution in structural frames.
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