Using the graphical method draw the complete shearing and bending moment diagrams for the beam shown below.
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- Part 1 Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=4.0 ft, b-9.0 ft, c-5.0 ft.d-4.0 ft. w- 10.5 kips/ft and P-117 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. A D For this loading, calculate the reaction forces A, and Ey 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.) Answers: Ay= D d 2 kips, Ey E kips Part 2 Determine the shear force acting at each of the following locations: (a)x=0+ ft (l.e., just to the right of support.A) (b)x=4,0 ft (c) x-13.0 ft (d) x-18.0-ft (le, just to the left of D) (e)x= 18.0+ ft (l.e., just to the right of D) (f)x=22.0-ft (ie, just to the left of support E) When entering your answers, use the shear force sign convention.…Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=4.0 ft, b=8.0 ft, c=4.0 ft, d=3.0 ft, w = 6.5 kips/ft and P = 45 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. A a B a b For this loading, calculate the reaction forces Ay and Ey 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.) W B W ÎÎÎÎÎÎ b C C d E d E X Ey XUse the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=4.0 ft, b=8.0 ft, c=4.0 ft, d=3.0 ft, w = 6.5 kips/ft and P = 45 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. A A a B a B W Answers: Ay = i b d For this loading, calculate the reaction forces Ay and Ey 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.) W с b C C P C D P kips, Ey = d E i E X 'y x kips.
- Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=4.0 ft, b-9.0 ft. c=4.0 ft, d=3.0ft, w=8 kips/ft and P = 66 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. B B ÎÎÎÎÎÎ Answers: Ay=i b d For this loading, calculate the reaction forces Ay and Ey 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.) W C b C C D E kips, Ey = i E X Ey kips.Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=3.5 ft, b=9.0 ft, c=4.0 ft, d=3.5 ft, w = 5.5 kips/ft and P = 45 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. For this loading, calculate the reaction forces Ay and Ey 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.) Ay =___________ kips, Ey = __________ kips. 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 = 3.5 ft(c) x = 12.5 ft(d) x = 16.5– ft (i.e., just to the left of D)(e) x = 16.5+ ft (i.e., just to the right of D)(f) x = 20.0– ft (i.e., just to the left of support E) Answer: a to f ) V = ________ kips Use the graphical…Question Use the graphical method to construct the bending-moment diagram and identify the magnitude of the largest moment (consider both positive and negative). The ground reactions and shear-force diagram are shown. 16.80 KN Units: KN Units: kN-m 16.80 2 m 14.0 kN 14.0 kN 16.80 2.80 2 m 42.0 kN 42.0 kN 2.80 -39.2 1m 39.20 KN -39.20
- Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=4.0 ft, b=8.0 ft, c=4.0 ft, d=3.0 ft, w = 6.5 kips/ft and P = 45 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. a B a W B W C b d For this loading, calculate the reaction forces Ay and Ey 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.) b C C P C D P Ľ E d E ·x EyPart 4 Use your bending-moment diagram to determine the maximum bending moment, Mmax, and its location, Xmax. Use the bending- moment sign convention detailed in Section 7.2. Answers: Xmax = Mmax = i i m kN-mBonus Question: worth up to 20% additional on this assignment: Solve for shear and bending moment distribution on the beam below. Just write the equations for shear and bending moment as a function of distance from the left hand side (wall side) of the beam. Note that the cosine function is automatically changing the direction of the load (downward vs. upward) along the length of the beam. 4 cos
- ACTIVITY NO. 4- SHEAR AND MOMENT DIAGRAMS Instructions: Draw the shear and bending moment diagram of each beam loaded as shown. Show your complete solutions for the shear and moment ordinates. NO SOLUTIONS, NO POINTS. Round off your answers to three (3) decimal places. 1. 60kN 120kN-m 40kN/m 3m 1m 1m 1mFor 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 w=20.0 kips/ft, a=6.0 ft, and b=20.5 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. "| Answers: By= Calculate the reaction forces By 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 Bx = 0, it has been omitted from the free-body diagram.) Cy= Answers: (a) V= (b) V= 351 183.54 (d) V= -120 222.561 (c) V= i -360 B Determine the shear force acting at each of the following locations: (a) x = 6.0-ft (i.e., just to the left of support B) (b) x = 6.0+ ft (i.e., just to the right of support B) (c) x = 25.5 ft (d) x = 26.5-ft (i.e., just to the left of support C) Note that x = 0 at point A.…Given the data from the two pictures, answer the following: Use your shear-force and bending-moment diagrams to determine the maximum positive bending moment, Mmax, pos, the maximum negative bending moment, Mmax, neg, and their respective locations, xmax, pos and xmax, neg. When entering your answers for the maximum bending moments, use the shear-force and bending-moment sign conventions 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. Find: Mmax, pos = ___ kips-ft Mmax, neg = ___ kips-ft xmax, pos = ___ ft xmax, neg = ___ ft