Posted by **Devi** on Friday, August 3, 2012 at 5:55am.

A cast iron block of 5Cm^2 cross section carries an axial compressive load of 50KN.Calculate the magnitude or normal and shear stresses on a plane whose normal is inclined at 30 deg.to the axis of the block,also determine the maximum shear stress in the block?

- Solid Mechanics -
**MathMate**, Friday, August 3, 2012 at 6:40am
I'll give it a try.

We have 50kN on 5cm², or 0.0005 m².

So the axial stress

σ_{x} = 10^{5} kPa

=100 MPa

σ_{y}=0

So draw the Mohr's circle (in the σ/τ plane) with between (0,0) and (100,0) as a diameter.

The centre is at (50,0).

To find the stresses at θ=30°

draw a diameter passing through the centre at 2*30=60° with the axis.

The stresses in that plane is shown by the extremities of the diameter, namely

σ=50±50cos(60°), and

τ=±50sin(60°).

Maximum shear stress is at θ=45° where

σx=σy=50, and

τxy=50

Hope that helps.

## Answer This Question

## Related Questions

- Solid Mechanics - pls help me to resolve this question A casts iron block of ...
- Solid Mechanics - A casts iron block of 5cm2 cross section carries load of 50KN...
- solid mechanics - a steel bar 10m long and 10cm*10cm in section .it is subjected...
- Materials Science - A compression bar, having a square cross section of side ...
- solid mechanics - Q.1 The normal stresses at a certain point in a body are 80MPa...
- Physics - A wooden block of mass m = 2.3 kg starts from rest on an inclined ...
- solid mechanics - A steel plate is subjected to tensile stresses of 200MPa and ...
- sjc coolege - A steel bar 10m long and 10cm ×2.5cm in section .It is subjected ...
- THEORY OF MACHINE - A steel bar 10 m long and 10 cm * 2.5 cm in section. It is ...
- solid mechanics - A body is subjected to two normal strains of magnitude Ex=0....

More Related Questions