PART 1 My answer Ay=14.38 Cy=13.62 Part 2 Determine the shear force acting at each of the following locations: (a) x = 4.25- (i.e., just to the left of point B.) (b) x = 4.25+ (i.e., just to the right of point B.) (c) x = 9.25-(i.e., just to the left of point C) (d) x = 9.25+ (i.e., just to the right of point C) My Answer: (a) V= 14.38 kN (b) V= 14.38 kN (c) V= 14.38 kN (d) V= 28 kN Part 3 Determine the bending-moment acting at each of the following locations: (a) x = 4.25-(i.e.. just to the left of point B.) (b) x = 4.25+ (i.e.. just to the right of point B.) (c) x = 9.25 m (i.e., at support C) (d) x = 8.25 m My Answer: (a) M= 61.115kN-m (b) M= -148.885 kN-m (c) M= -76.985 kN-m (d) M= -91.365 kN-m Part 4: Use your bending-moment diagram to determine the maximum positive bending moment, Mmax, pos, and the maximum negative bending moment, Mmax, neg. Use the bending-moment sign convention detailed in Section 7.2. The maximum negative bending moment is the negative moment with the largest absolute value. Enter the maximum negative bending moment as a negative value. Need Answer: Mmax pos = _____________kN-m Mmax, neg = _____________kN-m Please answer part 4.

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PART 1 My answer Ay=14.38 Cy=13.62 Part 2 Determine the shear force acting at each of the following locations: (a) x = 4.25- (i.e., just to the left of point B.) (b) x = 4.25+ (i.e., just to the right of point B.) (c) x = 9.25-(i.e., just to the left of point C) (d) x = 9.25+ (i.e., just to the right of point C) My Answer: (a) V= 14.38 kN (b) V= 14.38 kN (c) V= 14.38 kN (d) V= 28 kN Part 3 Determine the bending-moment acting at each of the following locations: (a) x = 4.25-(i.e.. just to the left of point B.) (b) x = 4.25+ (i.e.. just to the right of point B.) (c) x = 9.25 m (i.e., at support C) (d) x = 8.25 m My Answer: (a) M= 61.115kN-m (b) M= -148.885 kN-m (c) M= -76.985 kN-m (d) M= -91.365 kN-m Part 4: Use your bending-moment diagram to determine the maximum positive bending moment, Mmax, pos, and the maximum negative bending moment, Mmax, neg. Use the bending-moment sign convention detailed in Section 7.2. The maximum negative bending moment is the negative moment with the largest absolute value. Enter the maximum negative bending moment as a negative value. Need Answer: Mmax pos = _____________kN-m Mmax, neg = _____________kN-m Please answer part 4.
For the simply supported beam subjected to the loading shown, derive equations for the shear force V and the bending moment M
for any location in the beam. (Place the origin at point A.) Let a-4.25 m, b=5.00 m, c= 2.75 m, P = 28kN and M = 210kN-m.
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.
Answers:
Ay =
b
Calculate the reaction forces Ay and Cy 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 Ax = 0, it has been omitted from the free-body diagram.)
Cy=
a
a
14.38
M
13.62
B
M
B
b
kN
с
KN
C
Cy
с
C
P
Transcribed Image Text:For the simply supported beam subjected to the loading shown, derive equations for the shear force V and the bending moment M for any location in the beam. (Place the origin at point A.) Let a-4.25 m, b=5.00 m, c= 2.75 m, P = 28kN and M = 210kN-m. 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. Answers: Ay = b Calculate the reaction forces Ay and Cy 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 Ax = 0, it has been omitted from the free-body diagram.) Cy= a a 14.38 M 13.62 B M B b kN с KN C Cy с C P
Part 4
Use your bending-moment diagram to determine the maximum positive bending moment, Mmax, pos, and the maximum negative
bending moment, Mmax, neg. Use the bending-moment sign convention detailed in Section 7.2. The maximum negative bending
moment is the negative moment with the largest absolute value. Enter the maximum negative bending moment as a negative
value.
Answers:
Mmax, pos
Mmax, neg
kN-m
kN-m
Transcribed Image Text:Part 4 Use your bending-moment diagram to determine the maximum positive bending moment, Mmax, pos, and the maximum negative bending moment, Mmax, neg. Use the bending-moment sign convention detailed in Section 7.2. The maximum negative bending moment is the negative moment with the largest absolute value. Enter the maximum negative bending moment as a negative value. Answers: Mmax, pos Mmax, neg kN-m kN-m
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