The frame is subjected to a horizontal force and couple

Chapter 9, Problem 9-86

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QUESTION:

The frame is subjected to a horizontal force and couple moment. Determine the principal stresses and the absolute maximum shear stress at point A. The cross-sectional area at this point is shown.

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QUESTION:

The frame is subjected to a horizontal force and couple moment. Determine the principal stresses and the absolute maximum shear stress at point A. The cross-sectional area at this point is shown.

ANSWER:

Step 1 of 4

The free-body diagram of the system is shown below,

 

The equilibrium of the force component in x and y-direction are,

\(\sum {F_x} = 0\)

\({O_x} - 400\;{\rm{N}} = 0\)

\({O_x} = 400\;{\rm{N}}\)

And,

\(\sum {F_y} = 0\)

\({O_y} = 0\)

Take moment about point O,

\({M_o} + 350\;{\rm{Nm}} - 400\;{\rm{N}} \times 3\;{\rm{m}} = 0\)

\({M_o} = 850\;{\rm{Nm}}\)

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