A cantilever beam of length L = 12 m is loaded by a distributed load w = 28 kN/m and an appliedmoment M55 kNm as shown below. The material and cross-section of this beam are suchthat El = 100000 kNm2.%3DWАCML/6L/2L/3Use the moment-area method to determine the following. All working (including diagrams) mustbe provided in order to receive full marks.Determine the slope of the deformed beam at point A. Report your answer in units of radianswith 5 decimal places of accuracy.OA =rad%DDetermine the deflection of the deformed beam at point A. Report your answer in units of mmwith one decimal place of accuracy.VAmmCheck

Deflection: - It is defined as the vertical displacement of a point of a beam from actual position…

Answered: Determine the deflection of the…

Engineering

Civil Engineering

Determine the deflection of the deformed beam at point A.

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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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

A cantilever beam of length L = 12 m is loaded by a distributed load w = 28 kN/m and an applied
moment M
55 kNm as shown below. The material and cross-section of this beam are such
that El = 100000 kNm2.
%3D
W
А
C
M
L/6
L/2
L/3
Use the moment-area method to determine the following. All working (including diagrams) must
be provided in order to receive full marks.
Determine the slope of the deformed beam at point A. Report your answer in units of radians
with 5 decimal places of accuracy.
OA =
rad
%D
Determine the deflection of the deformed beam at point A. Report your answer in units of mm
with one decimal place of accuracy.
VA
mm
Check

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