Task 1 The engineering department has developed the following equation for the bending mom beam and you have asked to investigate its behaviour M(x)=x²-3x² - 4 The Beam is 4m long and the design team suspect the is problem if the bending mome in the range between 3-4m and you have been asked to a) Plot the bending moment at 0.5m interval for the range 0≤x≤4m 0≤x≤4 ar determine if the bending moment is zero in range 3m ≤ x ≤ 4m b) Use the graph to estimate where the bending moment is zero c) Use the bisection method to numerically estimate the exact location where the b moment is zero d) Newton-Raphson method to obtain the required location e) Compare the results of the above method to determine which gives a best soluti

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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c) Use the bisection method to numerically estimate the exact location where the bending
moment is zero


d) Newton-Raphson method to obtain the required location


e) Compare the results of the above method to determine which gives a best solution

Task 1
The engineering department has developed the following equation for the bending moment of a
beam and you have asked to investigate its behaviour
M(x)=x²-3x² - 4
The Beam is 4m long and the design team suspect the is problem if the bending moment is zero
in the range between 3-4m and you have been asked to
a) Plot the bending moment at 0.5m interval for the range 0≤x≤4m 0≤x≤4 and
determine if the bending moment is zero in range 3m ≤ x ≤ 4m
b) Use the graph to estimate where the bending moment is zero
c) Use the bisection method to numerically estimate the exact location where the bending
moment is zero
d)
Newton-Raphson method to obtain the required location
e) Compare the results of the above method to determine which gives a best solution
Transcribed Image Text:Task 1 The engineering department has developed the following equation for the bending moment of a beam and you have asked to investigate its behaviour M(x)=x²-3x² - 4 The Beam is 4m long and the design team suspect the is problem if the bending moment is zero in the range between 3-4m and you have been asked to a) Plot the bending moment at 0.5m interval for the range 0≤x≤4m 0≤x≤4 and determine if the bending moment is zero in range 3m ≤ x ≤ 4m b) Use the graph to estimate where the bending moment is zero c) Use the bisection method to numerically estimate the exact location where the bending moment is zero d) Newton-Raphson method to obtain the required location e) Compare the results of the above method to determine which gives a best solution
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