Question

a 1 in. schedule 40 steel pipe is used as a cantilever beam 8 in. long to support a load of 120 lb at its end. compute the deflection of the pipe at the end.

Answer 1

The deflection of the pipe at the free end is approximately 0.032 inches.

Formula and Material Properties

The deflection of a cantilever beam with a concentrated load at the free end can be calculated using the following formula:

δ = (PL^3) / (3EI)

where:

δ is the deflection at the free end (in inches)

P is the concentrated load (in pounds)

L is the length of the beam (in inches)

E is the Young's modulus of the material (in psi)

I is the moment of inertia of the beam's cross-section (in^4)

For a 1-inch schedule 40 steel pipe, we can find the following properties:

Young's modulus (E): 30 x 10^6 psi

Moment of inertia (I): 2.12 in^4 (can be found in steel pipe tables)

Substituting the given values and material properties into the formula, we get:

δ = (120 lb * 8^3 in^3) / (3 * 30 x 10^6 psi * 2.12 in^4)

δ ≈ 0.032 inches

Question:-

A 1-inch schedule 40 steel pipe is used as a cantilever beam 8 inches long to support a load of 120 pounds at its end. What is the deflection of the pipe at the end?