The anchor shackle supports a cable force of 600 lb. If the pin has a diameter of 0.25 in., determine the average shear stress in the pin.

Shear stress = (Force)/(pi*D^2/4)

To determine the average shear stress in the pin, we can use the formula:

Shear stress = Force / Area

First, we need to calculate the area of the pin. The area of a circular pin can be calculated using the equation:

Area = π * (radius)^2

Given that the diameter of the pin is 0.25 inches, the radius would be half of that:

Radius = 0.25 inches / 2 = 0.125 inches

Now we can calculate the area:

Area = π * (0.125 inches)^2

Next, we need to convert the force of 600 lb to pounds-force (lbf). Since 1 lb corresponds to approximately 4.44822 N, we can convert the force to newtons:

Force = 600 lb * 4.44822 N/lbf

Now we can substitute the values into the shear stress formula:

Shear stress = Force / Area

Calculating the results will give us the average shear stress in the pin.

To determine the average shear stress in the pin, we need to know the force acting on the pin and the area of the pin where the force is applied. In this case, the force is the cable force of 600 lb, and the area where the force is applied is the surface area of the pin that is in contact with the cable.

To calculate the average shear stress, we can use the formula:

Shear Stress = Force / Area

First, let's calculate the area of the pin. The pin has a diameter of 0.25 in, so its radius will be half of that, which is 0.125 in. We can use this to calculate the area of the pin.

Area = π * radius^2

Using 3.14 as an approximation for π, we get:

Area = 3.14 * (0.125^2)
= 3.14 * 0.015625
= 0.0491 square inches (rounded to four decimal places)

Now, we can calculate the average shear stress:

Shear Stress = Force / Area
= 600 lb / 0.0491 square inches
= 12226.1594 lb/square inch (rounded to four decimal places)

Therefore, the average shear stress in the pin is approximately 12226.1594 lb/square inch.