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Determine the principal normal stress and shear stress for the following case: σx=240 MPa σy=-30 MPa τ= 50 Mpa.

Correct Answer: σ1=248.96 MPa, σ2=-38.96 MPa, τmax=140.8 MPa
First of all, draw a Mohr’s circle for the following problem. On graph paper, draw x and y-axes with x-axis denoting normal stress and y-axis denoting shear stress. Locate the point (240,-50) and (-30,50) on the graph and join both points by a straight line. Point where the line intersects the x-axis is the origin of the circle as shown in the figure. Now determine the x coordinates where the y=0 and also y coordinate where x=(240-30)/2=105 MPa. The point where y=0 MPa; => σ1=248.96 MPa, σ2=-38.96 Mpa (principal normal stresses) The point where x=105 MPa; => y= τmax=140.8 MPa (principal shear stress).

Tresca or maximum-shear stress criteria assumes that yielding occurs when the maximum shear stress reaches a value of the shear stress in the uniaxial tension test. Assume the principal stress being σ1, σ2, σ3 where σ1 is largest, and σ3 is the smallest principal stresses. Find the value of minimum shear stress to cause yielding, given that yield stress in tension is equal to σo?

A body is subjected to a tensile stress of 1200 MPa on one plane and another tensile stress of 600 MPa on a plane at right angles to the former. It is also subjected to a shear stress of 400 MPa on the same planes. The maximum shear stress will be

A body is subjected to a tensile stress of 1200 MPa on one plane and another tensile stress of 600 MPa on a plane at right angles to the former. It is also subjected to a shear stress of 400 MPa on the same planes. The maximum normal stress will be

A body is subjected to a tensile stress of 1200 MPa on one plane and another tensile stress of 600 MPa on a plane at right angles to the former. It is also subjected to a shear stress of 400 MPa on the same planes. The minimum normal stress will be

A body starts yielding when it is subjected to stress state with principal stresses of 250 MPa, 50 MPa and - 50 MPa. What is the yield strength of the material. in MPa, if Tresca yield criterion is obeyed?

Presence of tail water in a gravity dam
i) increases the principal stress
ii) decreases the principal stress
iii) increases the shear stress
iv) decreases the shear stress
The correct answer is

A body is subjected to a direct tensile stress of 300 MPa in one plane accompanied by a simple shear stress of 200 MPa. The maximum shear stress will be

A body is subjected to a direct tensile stress of 300 MPa in one plane accompanied by a simple shear stress of 200 MPa. The minimum normal stress will be

A body is subjected to a direct tensile stress of 300 MPa in one plane accompanied by a simple shear stress of 200 MPa. The maximum normal stress will be

The largest size of immobilised segment of dislocation in a Frank Read (FR) source contained in a polycrystalline material is of the order of grain size. In a metal of 10 μm grain size, the shear stress required to operate such a FR source is 100 MPa. If the grain size in the same metal is reduced to 10 μm, the shear stress required to operate such FR source would be . . . . . . . . MPa.