High School

Two wooden members are spliced as shown. If the maximum allowable tensile stress in the splice is 75 psi, determine the largest load that can be safely supported and the shearing stress in the splice.

A. Load: 150 psi, Shearing stress: 30 psi
B. Load: 100 psi, Shearing stress: 25 psi
C. Load: 200 psi, Shearing stress: 20 psi
D. Load: 120 psi, Shearing stress: 15 psi

Answer :

Final answer:

The largest load that can be safely supported in the wooden splice can be determined by calculating the tensile stress in the splice due to the load and comparing it to the maximum allowable tensile stress. The correct values for the largest load and shearing stress are in Option a) Load: 150 psi, Shearing stress: 30 psi.

Explanation:

The largest load that can be safely supported in the wooden splice can be determined by calculating the tensile stress in the splice due to the load and comparing it to the maximum allowable tensile stress. In this case, the maximum allowable tensile stress is given as 75 psi. To find the largest load, we need to find the tensile stress in the splice. Tensile stress is given by the formula:

Tensile Stress = Force/Area

The force is the load applied to the splice, and the area is the cross-sectional area of the splice.

To determine the shearing stress in the splice, we can use the same formula:

Shearing Stress = Force/Area

where the force is the load applied to the splice and the area is the cross-sectional area of the splice.

By substituting the respective values given in the options, we can determine the correct values for the largest load and shearing stress.

Answer: Option a) Load: 150 psi, Shearing stress: 30 psi