A train weighing 890 kN is being pulled up a 1.5% slope by a certain force. The train’s resistance is 5 N per kN of its weight, determine the value of this force if the speed of the train is increased from 24kph to 48kph in a span of 450m distance. Solve by: (a) D’ Alembert’s Principle (b) Work-Energy Method

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A train weighing 890 kN is being pulled up a 1.5% slope by a certain force. The train’s resistance is 5 N per kN of its weight, determine the value of this force if the speed of the train is increased from 24kph to 48kph in a span of 450m distance. Solve by:

(a) D’ Alembert’s Principle

(b) Work-Energy Method

 

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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 analyze the structure. To do this you will: 
 Determine the required section modulus, S, of the beam, based on the material properties 
and the maximum bending moment. 
Note: the section modulus ? =1/y

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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