Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=10 ft, b=5 ft and w = 5 kips/ft. Answers: Ay= 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.) "| Answer: (a) V= (b) V= (c) V = i 33.33 Answer: x = i 33.33 -16.67 Answer: Mmax= (a) x = 4.8 ft (b)x= 10 ft (c) x = 12.5 ft W (a) x = 0+ ft (i.e., just to the right of support A) (b) x = 10 ft (c) x = 13.333333333333 ft a Answers: (a) M = i (b) M = i (c) M = i W Determine the shear force acting at each of the following locations: 0 B a i When entering your answers, use the shear force sign convention. B b kips, Cy= 16.667 b kips. kips. kips. The shear-force diagram crosses the V = 0 axis between points A and B. Determine the location x where V = 0 kips. ft. 2 C 1 x Cy Determine the maximum bending moment that acts anywhere in the beam. When entering your answer, use the bending moment sign convention. kip-ft. 3 kip-ft. 4 kip-ft. 5 kip-ft. 6 x Use the graphical method to determine the bending moment acting at each of the following locations: When entering your answers, use the bending moment sign convention. kips.
Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=10 ft, b=5 ft and w = 5 kips/ft. Answers: Ay= 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.) "| Answer: (a) V= (b) V= (c) V = i 33.33 Answer: x = i 33.33 -16.67 Answer: Mmax= (a) x = 4.8 ft (b)x= 10 ft (c) x = 12.5 ft W (a) x = 0+ ft (i.e., just to the right of support A) (b) x = 10 ft (c) x = 13.333333333333 ft a Answers: (a) M = i (b) M = i (c) M = i W Determine the shear force acting at each of the following locations: 0 B a i When entering your answers, use the shear force sign convention. B b kips, Cy= 16.667 b kips. kips. kips. The shear-force diagram crosses the V = 0 axis between points A and B. Determine the location x where V = 0 kips. ft. 2 C 1 x Cy Determine the maximum bending moment that acts anywhere in the beam. When entering your answer, use the bending moment sign convention. kip-ft. 3 kip-ft. 4 kip-ft. 5 kip-ft. 6 x Use the graphical method to determine the bending moment acting at each of the following locations: When entering your answers, use the bending moment sign convention. kips.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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VIEWStep 2: 1) Calculate the shear force at x = 13.33 ft
VIEWStep 3: 2) Calculate location x where shear force V = 0
VIEWStep 4: 3) Calculate maximum bending moment
VIEWStep 5: 4) Calculate bending moment at x = 4.8 ft
VIEWStep 6: 5) Calculate bending moment at x = 10 ft
VIEWStep 7: 6) Calculate bending moment at x = 12.5 ft
VIEWStep 8: Draw SFD and BMD
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