Shear Force Quiz 4

Question 1

Suppose a beam is subjected to a distributed load that can be described using an \(n^{th} \) degree polynomial. What type of mathematical function best describes shear in the beam?

Question 2

A simply supported beam of length 10 meters has the following shear equation.

What is the reaction force at the left end of the beam where \(x = 0\)?

What is the reaction force at the right end of the beam where \(x = 10\)?

Describe the loads being applied to the beam producing the above shear equation.

Question 3

Consider the beam shown below.

Given the direction of positive shear (see above right), which of the following statements is correct?

(A) is the correct shear diagram for the left segment of the beam where \(0 < x < 2\). (B) is the correct shear diagram for the left segment of the beam where \(0 < x < 2\). (C) is the correct shear diagram for the left segment of the beam where \(0 < x < 2\). None of the diagrams show the correct shear diagram for the left segment of the beam where \(0 < x < 2\).

Question 4

Consider the beam shown below.

Which of the following statements is correct?

(A) is the correct shear diagram for the right segment of the beam where \(2 < x < 8\). (B) is the correct shear diagram for the right segment of the beam where \(2 < x < 8\). (C) is the correct shear diagram for the right segment of the beam where \(2 < x < 8\). None of the diagrams show the correct shear diagram for the left segment of the beam where \(2 < x < 8\).