Must be solved using conjugate beam method ### Problem Statement:Compute the vertical displacement at point C using the conjugate beam method.### Diagram Explanation:- A vertical rod labeled with height \( h \) is fixed at point A.- The rod is supported by a hinge at point B, connecting vertically to a horizontal beam.- The horizontal beam extends from point B to point C, with a length labeled \( l \).- A downward force \( F \) is applied at point C on the horizontal beam.- The connection at point B is represented with a triangular hinge symbol.This diagram is a static structure problem typically found in structural engineering and mechanics of materials courses, using the conjugate beam method to analyze deflections.### Method:The conjugate beam method involves using an imaginary beam (conjugate beam) with modified boundary conditions and loading, based on the beam's real moments and shear forces. The deflection is computed as the 'displacement' of the conjugate beam.

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Answered: B TIM F Compute vertical displacement…

Engineering

Civil Engineering

B TIM F Compute vertical displacement at C using conjugate beam method method.

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

Matrix Algebra for Structural analysis

Structural analysis is a process in which the effects of different loads and internal forces, acting on structures and their elements are determined. This method of analysis is effective in detecting the failure loads of the structural elements and the design can be altered before commencing the construction process, which ensures proper strength and safety of the structures.

Question

Must be solved using conjugate beam method

### Problem Statement:
Compute the vertical displacement at point C using the conjugate beam method.

### Diagram Explanation:
- A vertical rod labeled with height \( h \) is fixed at point A.
- The rod is supported by a hinge at point B, connecting vertically to a horizontal beam.
- The horizontal beam extends from point B to point C, with a length labeled \( l \).
- A downward force \( F \) is applied at point C on the horizontal beam.
- The connection at point B is represented with a triangular hinge symbol.

This diagram is a static structure problem typically found in structural engineering and mechanics of materials courses, using the conjugate beam method to analyze deflections.

### Method:
The conjugate beam method involves using an imaginary beam (conjugate beam) with modified boundary conditions and loading, based on the beam's real moments and shear forces. The deflection is computed as the 'displacement' of the conjugate beam.

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Step 1: Introduce the problem statement

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Step 2: Plot bending moment diagram for the given beam

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Step 3: Conjugate beam

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Step 4: Determine displacement at C

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