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KNE412 Major Assignment – Stress Analysis
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Given Data:
The Bridge subjected to Lateral Load.
The lateral load FA is Resisted by diagonal Bracings, Causing additional Lateral Forces, FB and FC.
Member AD bends about its minor Axis.
Loads:
FA : 100 KN
FB = FC
a = 0.8m, b = 2.0 m
Now,
Let us calculate the Von mises stresses at
Left Flange tip:
Von mises stress:

Here,
P1 is the First principal stress
P2 is the Second principal stress
P3 is the third Principal Stress.
Now,
For the selected case let us calculate the P1, P2 and P3
P1 = Bending Stress along x axis+ Direct Tensile stress X
P2= Bending Stress along x axis+Tensile stress along Y axis
P3 = Bending Stress along zaxis+Tensile stress along z axis.
Here,
The problem is taken to be two dimensional,
Thus removing the third principal stress and calculating bending stress and Tensile stresses for the X and Y axis.
Bending Stress can be given as:
![]()
Where,
M is the Moment
Y is the distance from NA
I is the Moment of Inertia
To calculate I:
![]()
Where,
b is the breadth
d is the height of the cross section.
Now,
b = 0.8 m
d = 2 m
I=0.533333 m4
Now,
Applying I in the Bending moment equation we get,
![]()
Y = 1
I = 0.533333 m4
M = Bending Moment
To find Bending moment it is required to carry out the SF and BM diagram,
The beam can be simplified and analyzed
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