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 FRIALEX Image courtesy of dzwignice.info Material Properties (Beam A-B) Value Units 69.0 GPa 0.28 N/A 7.19 Mg/m³ 330.0 MPa 110.0 MPa Symbol E V P Fallow Tallow A x Structural idealisation P₂ 1.5m. 4m Loads P₁ = 4kN P₂ = 1.5kN Your task is to analyse the structure. To do this you will: a) Determine an expression for the vertical reaction at Point A. Note: this will be a function of x. OB
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 FRIALEX Image courtesy of dzwignice.info Material Properties (Beam A-B) Value Units 69.0 GPa 0.28 N/A 7.19 Mg/m³ 330.0 MPa 110.0 MPa Symbol E V P Fallow Tallow A x Structural idealisation P₂ 1.5m. 4m Loads P₁ = 4kN P₂ = 1.5kN Your task is to analyse the structure. To do this you will: a) Determine an expression for the vertical reaction at Point A. Note: this will be a function of x. OB
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text: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
FRIALEX
Image courtesy of dzwignice.info
Material Properties (Beam A-B)
Value
Units
69.0
0.28
7.19
330.0
110.0
Symbol
E
V
P
Jallow
Tallow
GPa
N/A
Mg/m³
MPa
MPa
A
x
Structural idealisation
P₁
←1.5m →
4m.
P₂
Loads
P₁ = 4kN
P₂ = 1.5kN
Your task is to analyse the structure. To do this you will:
a) Determine an expression for the vertical reaction at Point A.
Note: this will be a function of x.
B
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Transcribed Image Text:b) Find the position of x that results in the maximum bending moment. Ensure that you justify
your answer.
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