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Determine an expression for the vertical reaction at Point A.  Note: this will be a function of x.

Determine an expression for the vertical reaction at Point A.  Note: this will be a function of x.

Structural Analysis
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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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). 
Example of a lifting crane
Image courtesy of dzwignice.info 
Structural idealisation
Material Properties (Beam A-B) Loads
Symbol Value Units 
?? = ???
?? = ?. ??? 
E 69.0 GPa 
v 0.28 N/A 
ρ 7.19 Mg/m3
σallow 330.0 MPa 
τallow 110.0 MPa 
Your task is to analyse the structure. To do this you will: 
Determine an expression for the vertical reaction at Point A. 
Note: this will be a function of x. 

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
Transcribed Image Text: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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