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b FBD F C compute horizontal and vertical displacement at using a) differential equation. C b) conjugate beam c) unit load EMA = O = -MA + Fa EFy (include moment) diagram

b FBD F C compute horizontal and vertical displacement at using a) differential equation. C b) conjugate beam c) unit load EMA = O = -MA + Fa EFy (include moment) diagram

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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**Problem Statement** **Objective:** Compute the horizontal and vertical displacement at point C using the following methods: a) Differential equation (include moment diagram) b) Conjugate beam method c) Unit load method **Diagram Description:** - **Free Body Diagram (FBD):** The FBD shows an L-shaped structure. - Vertical segment \( AD \) has a height \( h \). - Horizontal segment \( DC \) has a length \( a \). - A force \( F \) is applied downward at point C. The structure is fixed at point A. **Equations:** 1. Moment equation around point A: \(\Sigma M_A = 0 = -M_A + Fa\) 2. Vertical force equilibrium: \(\Sigma F_y = 0\) **Notes:** - When applying these methods, ensure to include relevant diagrams, especially the moment diagram for the differential equation approach. - Carefully analyze forces and reactions in each method to determine displacements accurately.
Transcribed Image Text:**Problem Statement** **Objective:** Compute the horizontal and vertical displacement at point C using the following methods: a) Differential equation (include moment diagram) b) Conjugate beam method c) Unit load method **Diagram Description:** - **Free Body Diagram (FBD):** The FBD shows an L-shaped structure. - Vertical segment \( AD \) has a height \( h \). - Horizontal segment \( DC \) has a length \( a \). - A force \( F \) is applied downward at point C. The structure is fixed at point A. **Equations:** 1. Moment equation around point A: \(\Sigma M_A = 0 = -M_A + Fa\) 2. Vertical force equilibrium: \(\Sigma F_y = 0\) **Notes:** - When applying these methods, ensure to include relevant diagrams, especially the moment diagram for the differential equation approach. - Carefully analyze forces and reactions in each method to determine displacements accurately.
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