How to find max shear stress at a given point?

[Ganesh Ujwal]

The state of plane-stress at a point is given by σx = -200 MPa, σy = 100 MPa, σxy = 100 MPa
The Maximum shear stress (in MPa) is:
A) 111.8
B) 150.1
C) 180.3
D) 223.6
Explain Procedure also with Answer.

Attempt: i already used Max Shear Stress τ = QV/ib, then also answer is not matching to given 4 options.

 

[Orodruin]

Could you be a bit more specific with your attempt. What did you do and why? What numbers did you insert into the equations? What was your end result?

 

[Chestermiller]

Suppose you have a plane perpendicular to the x-y plane, and this plane makes an angle of theta with the x- axis. Do you know how to determine the normal and shear stresses acting on that plane?

Chet

 

[SteamKing]

The state of plane-stress at a point is given by σx = -200 MPa, σy = 100 MPa, σxy = 100 MPa
The Maximum shear stress (in MPa) is:
A) 111.8
B) 150.1
C) 180.3
D) 223.6
Explain Procedure also with Answer.

Attempt: i already used Max Shear Stress τ = QV/ib, then also answer is not matching to given 4 options.

It's not clear how you could use τ = QV/ib given only stress information. The problem seems suited for Mohr's circle.