Question

Draw mohr's circle for principal stresses of 80 N/mm² tensile and 50 N/mm² compressive and find tje resultant stresses on planes making 22° and 64° with the major principal plane. Also find the normal and tangential stresses on these planes

Answer 1

Answer:

Derivation of Mohr’s Circle

• If we vary θ from 0° to 360°, we will get all

possible values of σx1

and τx1y1

for a given

stress state.

• Eliminate θ by squaring both sides of 1 and 2

equation and adding the two equation

Stress Transformation Equations

s x1

-

s x

+s y

2

=

s x

-s y

2

cos2q +t xy

sin2q

t x1

y1

= -

s x

+s y

2

sin2q +t xy

cos2q

I hope it is helpful for