Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=3.5 ft, b=6.0 ft, M_A = 15 kip-ft, w = 10 kips/ft, and P_D = 6 kips. 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 B_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 B_x = 0, it has been omitted from the free-body diagram.)

Answers: B_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 point A)
(b) x = 3.5– ft (i.e., just to the left of support B)
(c) x = 3.5+ ft (i.e., just to the right of support B)

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

Answers:

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

Part 3

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

(a) x = 9.5– ft (i.e., just to the left of support C)
(b) x = 9.5+ ft (i.e., just to the right of support C)
(c) x = 13.0– ft (i.e., just to the left of D)

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

Answers:

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

Part 4

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

Answer: x_c = ft.

Part 5

Determine the bending moment acting at each of the following locations:

(a) x = 0+ ft (i.e., just to the right of A)
(b) x = 3.5 ft

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

Answers:

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

Part 6

Determine the bending moment acting at each of the following locations:

(a) x = x_c (the value calculated in part 4)
(b) x = 9.5 ft

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

Answers:

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

Part 7

Use your shear-force and bending-moment diagram to determine

(a) the shear force V and
(b) the bending moment M

acting at x = 7 ft. When entering your answers, use the shear force and bending moment sign conventions.

Answers:

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

Question

Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=3.5 ft, b=6.0 ft, M_A = 15 kip-ft, w = 10 kips/ft, and P_D = 6 kips. 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 B_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 B_x = 0, it has been omitted from the free-body diagram.)

Answers: B_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 point A)
(b) x = 3.5– ft (i.e., just to the left of support B)
(c) x = 3.5+ ft (i.e., just to the right of support B)

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

Answers:

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

Part 3

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

(a) x = 9.5– ft (i.e., just to the left of support C)
(b) x = 9.5+ ft (i.e., just to the right of support C)
(c) x = 13.0– ft (i.e., just to the left of D)

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

Answers:

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

Part 4

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

Answer: x_c = ft.

Part 5

Determine the bending moment acting at each of the following locations:

(a) x = 0+ ft (i.e., just to the right of A)
(b) x = 3.5 ft

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

Answers:

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

Part 6

Determine the bending moment acting at each of the following locations:

(a) x = x_c (the value calculated in part 4)
(b) x = 9.5 ft

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

Answers:

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

Part 7

Use your shear-force and bending-moment diagram to determine

(a) the shear force V and
(b) the bending moment M

acting at x = 7 ft. When entering your answers, use the shear force and bending moment sign conventions.

Answers:

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

Accepted Answer

Answered: Image /qna-images/answer/a8df294b-ee67-4acd-abd4-4d524929dabb.jpg

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