Answer:
The diameter of the rod can be determined using the following formula:
Step-by-step explanation:
d = sqrt(4L / (pi * E * delta))
where:
d = diameter of the rod
L = length of the rod = 35 ft
E = modulus of elasticity of the steel = 30,000,000 psi
delta = elongation of the rod = 0.266 in
First, we need to convert the length of the rod and elongation to inches to maintain consistency with the units of E:
L = 35 ft * 12 in/ft = 420 in
delta = 0.266 in
Substituting the given values into the formula:
d = sqrt(4 * 420 / (pi * 30,000,000 * 0.266))
d = 0.615 in (rounded to 0.01)
Therefore, the diameter of the steel rod is 0.62 inches (rounded to 0.01).