posted by Devi .
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?
I'll give it a try.
We have 50kN on 5cm², or 0.0005 m².
So the axial stress
σx = 105 kPa
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
Maximum shear stress is at θ=45° where
Hope that helps.