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Determine the bending moment acting at each of the following locations: (a)x-1m (b)x=200m (.e. at support B) (c)x=4m (d)x=7.75 m (.e. at point C) (e)x=8.75m Note that x = 0 at point A. When entering your answers, use the bending-moment sign convention detailed in Section 7.2. Answers (a) M- (b) M (c) M= (d) M= (e) M= 1 KN-m KN-m kN-m KN-m

Determine the bending moment acting at each of the following locations: (a)x-1m (b)x=200m (.e. at support B) (c)x=4m (d)x=7.75 m (.e. at point C) (e)x=8.75m Note that x = 0 at point A. When entering your answers, use the bending-moment sign convention detailed in Section 7.2. Answers (a) M- (b) M (c) M= (d) M= (e) M= 1 KN-m KN-m kN-m KN-m

International Edition---engineering Mechanics: Statics, 4th Edition
International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter6: Beams And Cables
Section: Chapter Questions
Problem 6.42P: For the beam AB shown in Cases 1 and 2, derive and plot expressions for the shear force and bending...
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Part 1 ✓ Correct 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-2.00 m, b-5.75 m, PA-70kN, and Pc 100kN. 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. P₁ Calculate the reaction forces By and D, 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, O, it has been omitted from the free-body diagram.) y a Answers: 0,- B. 113871 56.129 8 b KN KN 4 Pe -I D D D₂ Part 2 ✓ Correct Determine the shear force acting at each of the following locations: (a) x-1 m (b)x=4m (c) x = 8.75 m Note that x = 0 at point A. When entering your answers, use the shear-force sign convention detailed in Section 7. Answers: (a) V= (b) V= (c) V- -70 43.871 -56.129 KN KN KN
Transcribed Image Text:Part 1 ✓ Correct 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-2.00 m, b-5.75 m, PA-70kN, and Pc 100kN. 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. P₁ Calculate the reaction forces By and D, 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, O, it has been omitted from the free-body diagram.) y a Answers: 0,- B. 113871 56.129 8 b KN KN 4 Pe -I D D D₂ Part 2 ✓ Correct Determine the shear force acting at each of the following locations: (a) x-1 m (b)x=4m (c) x = 8.75 m Note that x = 0 at point A. When entering your answers, use the shear-force sign convention detailed in Section 7. Answers: (a) V= (b) V= (c) V- -70 43.871 -56.129 KN KN KN
Part 3 Determine the bending moment acting at each of the following locations: (a)x=1m (b)x= 2.00 m (ie, at support B) (c)x=4m (d)x= 7.75 m (ie, at point C) (e)x= 8.75 m Note that x = 0 at point A. When entering your answers, use the bending-moment sign convention detailed in Section 7.2 Answers: (a) M- (b) M (c) M= (d) M= i (e) M= Part 4 i Max. Max kN-m i KN-m KN-m Use your bending-moment diagram to determine the maximum positive bending moment, Mmax.pos the maximum negative bending moment, Mmax nag and their respective locations, Xmax pas and Xmax, nag-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: kN-m kN-m KN-m Xxpos kN-m Xmas i i m m
Transcribed Image Text:Part 3 Determine the bending moment acting at each of the following locations: (a)x=1m (b)x= 2.00 m (ie, at support B) (c)x=4m (d)x= 7.75 m (ie, at point C) (e)x= 8.75 m Note that x = 0 at point A. When entering your answers, use the bending-moment sign convention detailed in Section 7.2 Answers: (a) M- (b) M (c) M= (d) M= i (e) M= Part 4 i Max. Max kN-m i KN-m KN-m Use your bending-moment diagram to determine the maximum positive bending moment, Mmax.pos the maximum negative bending moment, Mmax nag and their respective locations, Xmax pas and Xmax, nag-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: kN-m kN-m KN-m Xxpos kN-m Xmas i i m m
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