The figure shows an assembly for testing the wooden specimen AB. The specimen ha

Question

The figure shows an assembly for testing the wooden specimen AB. The specimen has thickness (perpendicular to the figure) of 8 mm and width d = 10 mm, and the dimension h = 18 mm. If the wood fails in tension at a stress of 800 kPa and in shear at 200 kPa, determine the value of the axial force F at which failure occurs and describe the resulting failure.

The figure shows an assembly for testing the wooden specimen AB. The specimen has thickness (perpendicular to the figure) of 8 mm and width d = 10 mm, and the dimension h = 18 mm. If the wood fails in tension at a stress of 800 kPa and in shear at 200 kPa, determine the value of the axial force F at which failure occurs and describe the resulting failure.

Explanation / Answer

For Tension failure :

F = 800 * 10^3 * 10*10^-3* 8*10^-3 = 64 N

For Shear Failure :

F = 200*10^3 * 18*10^-3 * 8*10^-3 = 28.8 N

so 28.8 N is lesser value

ans is 28.8 N

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