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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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