|D B a Cy Ay kips. kips, Cy = i Answers: Ay = i

Question

Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=4 ft, b=10 ft, c=2 ft and w=6.5 kips/ft. Construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise.

Calculate the reaction forces A_y and C_y acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below. (Note: Since A_x = 0, it has been omitted from the free-body diagram.)

Answers: A_y = kips, C_y = kips.

Part 2

Determine the shear force acting at each of the following locations:

(a) x = 0+ ft (i.e., just to the right of support A)
(b) x = 4 ft
(c) x = 14– ft (i.e., just to the left of support C)
(d) x = 14+ ft (i.e., just to the right of support C)

When entering your answers, use the shear force sign convention.

Answers:

(a) V = kips.
(b) V = kips.
(c) V = kips.
(d) V = kips.

Part 3

Use the graphical method to determine the bending moment acting at B (i.e., x = 4 ft). When entering your answers, use the bending moment sign convention.

Answer: M_B = kip-ft.

Part 4

The shear-force diagram crosses the V = 0 axis between points B and C. Determine the location x (measured from A) where V = 0 kips.

Answer: x = ft.

Part 5

Consider the entire beam and determine:

(a) the maximum positive bending moment.
(b) the maximum negative bending moment.

When entering your answers, use the bending moment sign convention.

Answers:

(a) M = kip-ft.
(b) M = kip-ft.