Answered: A beam is subjected to the loading…

A beam is subjected to the loading condition shown below. Determine the displacement at A and the slope at B using: a) b) The moment-area theorems. The conjugate-beam method. 15 N 4m 6m 20 N-m 6m

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

Do not give answer in image and hand writing

A beam is subjected to the loading condition shown below. Determine the displacement at A
and the slope at B using:
a)
b)
The moment-area theorems.
The conjugate-beam method.
15 N
A
4m
B
6m
Note: E = 200,000 MPa and I = 200x106 mmª
20 N-m
ə
C
6m
D

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Step 1: Introduce the problem statement

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Step 2: Determine flexural rigidity

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Step 3: Determine support reactions

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Step 4: Plot Bending moment diagram

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Step 5: Determine deflection at point A

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Step 6: Determine slope at point B

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