beam - 3

[logistic_guy]

If the beam is subjected to a shear force of \(\displaystyle V = 100 \ \text{kN}\), determine the shear stress developed at point \(\displaystyle A\).

 

[khansaheb]

If the beam is subjected to a shear force of \(\displaystyle V = 100 \ \text{kN}\), determine the shear stress developed at point \(\displaystyle A\).

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[logistic_guy]

determine the shear stress developed at point \(\displaystyle A\).

The shear stress is given by:

\(\displaystyle \tau_A = \frac{VQ}{I_x t} = \frac{V\overline{y}A}{I_x w_A}\)

 

[logistic_guy]

\(\displaystyle \tau_A = \frac{VQ}{I_x t} = \frac{V\overline{y}A}{I_x w_A}\)

\(\displaystyle \tau_A = \frac{V\overline{y}A}{I_x w_A} = \frac{100 \times 10^3 \times 0.055(0.09)(0.02)}{\bigg[2\frac{0.02(0.2)^3}{12} +\frac{0.26(0.02)^3}{12}\bigg]0.02} = 1.844 \times 10^7 \ \text{Pa} = \textcolor{blue}{18.44 \ \text{MPa}}\)