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

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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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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