Answered: Find the position of x that results in…

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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Question

You have been tasked with designing a beam to support a lifting crane. The applied load is offset
from the centre of the carriage used to mount the crane to the overhead beam. Therefore, the loads
applied to the two axels, P1 and P2, differ. The position of the crane can vary (dependent on the
variable, x, shown below).

Your task is to analyse the structure. To do this you will:
Find the position of x that results in the maximum bending moment. Ensure that you justify
your answer.

Example of a lifting crane
Image courtesy of dzwignice.info
Material Properties (Beam A-B)
Value
Units
69.0
0.28
7.19
330.0
110.0
Symbol
E
RIALEX
V
P
Fallow
Tallow
GPa
N/A
Mg/m³
MPa
MPa
A
Structural idealisation
1.5m →
4m
2
Loads
P₁ = 4kN
P₂ = 1.5kN
OB

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why divide x' in 2 in above method?

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