You have been tasked with designing a beam to support a lifting crane. The applied load is offsetfrom the centre of the carriage used to mount the crane to the overhead beam. Therefore, the loadsapplied to the two axels, P₁ and P₂, differ. The position of the crane can vary (dependent on thevariable, x, shown below).Example of a lifting craneFRIALEXImage courtesy of dzwignice.infoMaterial Properties (Beam A-B)ValueUnits69.0GPa0.28N/A7.19Mg/m³330.0MPa110.0MPaSymbolEVPJallowTallowA OxStructural idealisationP2P₁1.5m →4m.LoadsP₁ = 4kNP2 = 1.5kNOBDetermine the required section modulus, S, of the beam based on the material propertiesand the maximum bending moment.Note: the section modulus S = =-=y

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 Sall Image courtesy of dzwignice.info Material Properties (Beam A-B) Value Symbol Units E 69.0 GPa 0.28 N/A 7.19 Mg/m³ 330.0 MPa 110.0 MPa V PRALEX P Gallow Tallow A O x Structural idealisation -1.5m->> 4m- P2 Loads P₁ = 4kN P₂ = 1.5kN 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 Sall Image courtesy of dzwignice.info Material Properties (Beam A-B) Value Symbol Units E 69.0 GPa 0.28 N/A 7.19 Mg/m³ 330.0 MPa 110.0 MPa V PRALEX P Gallow Tallow A O x Structural idealisation -1.5m->> 4m- P2 Loads P₁ = 4kN P₂ = 1.5kN OB

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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Concept explainers

Matrix Algebra for Structural analysis

Structural analysis is a process in which the effects of different loads and internal forces, acting on structures and their elements are determined. This method of analysis is effective in detecting the failure loads of the structural elements and the design can be altered before commencing the construction process, which ensures proper strength and safety of the structures.

Question

100%

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
Jallow
Tallow
A O
x
Structural idealisation
P2
P₁
1.5m →
4m.
Loads
P₁ = 4kN
P2 = 1.5kN
OB
Determine the required section modulus, S, of the beam based on the material properties
and the maximum bending moment.
Note: the section modulus S = =-=
y

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