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Solved: Determine the maximum allowable load P that can be
Chapter 1, Problem 1-89(choose chapter or problem)
Determine the maximum allowable load P that can be safely supported by the frame if t = 1.25 in. and b = 3.5 in. The wood has a normal failure stress of \(\sigma_{\text {fail }}=6 \mathrm{ksi}\), and a shear failure stress of \(\tau_{\text {fail }}=1.5 \mathrm{ksi}\). Use a factor of safety against failure of 2.
Questions & Answers
QUESTION:
Determine the maximum allowable load P that can be safely supported by the frame if t = 1.25 in. and b = 3.5 in. The wood has a normal failure stress of \(\sigma_{\text {fail }}=6 \mathrm{ksi}\), and a shear failure stress of \(\tau_{\text {fail }}=1.5 \mathrm{ksi}\). Use a factor of safety against failure of 2.
ANSWER:
Problem 1-89
Determine the maximum allowable load P that can be safely supported by the frame if 
Step by Step Solution
Step 1 of 3
The thickness of frame is
The breadth of frame is
The wood has a normal failure stress of
The shear failure stress of wood is
The factor of safety is 
The free body diagram of the frame is as follows:
In order to determine maximum allowable stress, we have to:
Consider the condition of equilibrium at joint A.
The expression of forces in the y –direction is given as:
The horizontal component of the force acting on joint B is,
The expression of shear force developed on the plane is given as:
For, 
Therefore,
