# Solid Mechanics

posted by .

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 -

I'll give it a try.

We have 50kN on 5cm², or 0.0005 m².
So the axial stress
σx = 105 kPa
=100 MPa

σy=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.

## Similar Questions

1. ### Solid Mechanics

A casts iron block of 5cm2 cross section carries load of 50KN. Calculate the magnitude or normal and shear stresses on a plane whose normal is inclined at 30o to the axis of the block. Also determine the maximum shear stress in the …
2. ### Solid Mechanics

pls help me to resolve this question A casts iron block of 5cm2 cross section carries an axial load of 50KN. Calculate the magnitude or normal and shear stresses on a plane whose normal is inclined at 30o to the axis of the block. …
3. ### THEORY OF MACHINE

A steel bar 10 m long and 10 cm * 2.5 cm in section. It is subjected to axial pull of 250 KN. Determine the intensities of normal and tangential stresses on a plane section at 60 degree to the longitudinal axis.
4. ### solid mechanics

a steel bar 10m long and 10cm*10cm in section .it is subjected to an axial pull of 250KN .determine the intensities of normal and tangential stresses on a plane section at 60 degree to the longitudinal axis .
5. ### sjc coolege

A steel bar 10m long and 10cm ×2.5cm in section .It is subjected to an axial pull of 250KN. Determine the intensities of normal and tangential stresses on a plane.
6. ### solid mechanics

Q.1 The normal stresses at a certain point in a body are 80MPa tension and 50Mpa compression. There are also shear stresses across the plane of tension and compression equal to 30MPa.Calculate the maximum direct stress and maximum …
7. ### Physics

A wooden block of mass m = 2.3 kg starts from rest on an inclined plane sloped at an angle 26 degrees from the horizontal. The block is originally located 1.9 m from the bottom of the plane. Assume the inclined plane is friction less. …
8. ### Materials Science

A compression bar, having a square cross section of side length b, must support a compressive load of magnitude W, uniformly distributed over the bar cross section. The bar is made of two segments connected by a glued joint along plane …
9. ### solid mechanics

A steel plate is subjected to tensile stresses of 200MPa and 150 MPa at right angles to each other. Determine the normal and tangential stresses on a plane inclined at 60 to the 200 MPa stress. Also find the plane on which the resultant …
10. ### solid mechanics

A body is subjected to two normal strains of magnitude Ex=0.001 & Ey=0.002. Determine the normal and shearing strains on a plane inclined to 30° with the Ex strain

More Similar Questions