Question

A square of 20 mm side is used as a beam with its diagonal in horizontal position. If the vertical shear force at a section is 2 kN, determine the maximum shear stress developed in the cross section.

• A. 5 MPa
• B. 7.23 MPa
• C. 6.25 MPa
• D. 5.65 MPa

Answer 1

The correct option is D 5.65 MPa



S = 2000 N
a= 20 mm
$diagonal=d=\sqrt{2}a=\left(\sqrt{2}\right)\left(20\right)$

$\therefore {\tau }_{max}=\frac{9\times 2000}{4\times 2\times {20}^2}=5.65MPa$