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The frame is subjected to a horizontal force and couple
Chapter 9, Problem 9-86(choose chapter or problem)
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.
Questions & Answers
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,
\({M_o} + 350\;{\rm{Nm}} - 400\;{\rm{N}} \times 3\;{\rm{m}} = 0\)
\({M_o} = 850\;{\rm{Nm}}\)