Strength of Materials - GATE practice papers - Mechanical for Q. 356

Q.  Calculate the normal stress acting on the plane of maximum shear stress, considering the following state of stress shown in the figure. (Marks: 02)

State of Stress
- Published on 19 Oct 15

a. 30 MPa compression
b. 30 MPa tension
c. 15 MPa compression
d. 15 MPa tension

ANSWER: 15 MPa compression
 
Normal stress acting on the plane of maximum shear stress will be, (Taking compression as positive)

σn = (σx± σy) / 2 =(50 – 20) / 2 = +15

that is 15 MPa compression.

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