Question

The stress block shown represents the stresses on two orthogonal planes through a point in a structural member. Using Mohr's circle, determine a) the principal stresses and the maximum in-plane shear stress, and the angle at which the principal stresses act b) the normal and shear stresses on plane A-A through the point. $\sigma_y = 4 \text{ MPa}$ $\tau_{xy} = 6 \text{ MPa}$ $\sigma_x = 12 \text{ MPa}$

          The stress block shown represents the stresses on two orthogonal planes through a point
in a structural member. Using Mohr's circle, determine
a) the principal stresses and the maximum in-plane shear stress, and the angle at which
the principal stresses act
b) the normal and shear stresses on plane A-A through the point.
$\sigma_y = 4 \text{ MPa}$
$\tau_{xy} = 6 \text{ MPa}$
$\sigma_x = 12 \text{ MPa}$

The stress block shown represents the stresses on two orthogonal planes through a point
in a structural member. Using Mohr's circle, determine
a) the principal stresses and the maximum in-plane shear stress, and the angle at which
the principal stresses act
b) the normal and shear stresses on plane A-A through the point.
= 4 MPa
τxy = 6 MPa
= 12 MPa

Added by Laurie G.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Kratika Bhadauria

Step 1

a) To determine the principal stresses and the maximum in-plane shear stress, we need to construct Mohr's circle. Show more…

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The stress block shown represents the stresses on two orthogonal planes through a point in a structural member. Using Mohr's circle, determine a) the principal stresses and the maximum in-plane shear stress, and the angle at which the principal stresses act b) the normal and shear stresses on plane A-A through the point MPa MPa 12 MPa 35