Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Label...
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Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Label all significant points on each diagram and identify the maximum moments along with their respective locations. Additionally: (a) Determine V and M in the beam at a point located 1.50 m to the right of B. (b) Determine V and M in the beam at a point located 1.25 m to the left of D. Let a = 2.8 m, b = 5.8 m, w = 35 kN/m, P = 54 kN, Q = 38 kN, and Mc = 146 kN.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. P W a B C Mc D E b a a Part 1 Correct. Calculate the reaction forces B, 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 Bx = 0, it has been omitted from the free-body diagram.) P W a B B C McD b a a D = 2.00E2 KN By Dy = 193 kN Q E x = SUPPORT Correct. Determine the shear force acting at each of the following locations: (a) x (b) x (c) x = 2.8 m (i.e., just to the left of support B) - 2.8m (i.e., just to the right of support B) = - 11.4 m (i.e., just to the left of support D) - (d) x 11.4 m (i.e., just to the right of support D) When entering your answers, use the shear-force sign convention. (a) V = -5.40E1 KN (b) V = 139 KN (c) V = -162 kN SUPPORT (d) V = 3.80E1 KN Part 3 Your answer is partially correct. Determine the bending moment acting at each of the following locations: (a) x = (b) x = = (c) x (d) x = 2.8 m (i.e., at support B) 8.6 m (i.e., just to the left of point C) - 8.6 + m (i.e., just to the right of point C) 11.4 m (i.e., at support D) When entering your answers, use the bending moment sign convention. (a) M = -1.51E2 (b) M = kNm kNm (c) M = i ! kNm SUPPOR (d) M = -106 kNm Part 4 Find the location x and the corresponding bending moment M at the one point between B and D at which the shear force equals zero. Use the correct sign convention for the bending moment. X = M = eTextbook and Media Save for Later B kNm Attempts: 0 of 2 used Su SUPPORT Part 5 Consider the entire beam and determine the maximum positive bending moment and the location at which it occurs. Use the bending moment sign convention. M = i eTextbook and Media Save for Later kNm Part 6 Consider the entire beam and determine the negative bending moment with the largest absolute value. Use the bending moment sign convention, so enter a negative value. M = eTextbook and Media Save for Later kNm (a) Determine V and M in the beam at a point located 1.50 m to the right of B. (b) Determine V and M in the beam at a point located 1.25 m to the left of D. (a) V = M = (b) V = M = i i kN kNm kN kN.m Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Label all significant points on each diagram and identify the maximum moments along with their respective locations. Additionally: (a) Determine V and M in the beam at a point located 1.50 m to the right of B. (b) Determine V and M in the beam at a point located 1.25 m to the left of D. Let a = 2.8 m, b = 5.8 m, w = 35 kN/m, P = 54 kN, Q = 38 kN, and Mc = 146 kN.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. P W a B C Mc D E b a a Part 1 Correct. Calculate the reaction forces B, 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 Bx = 0, it has been omitted from the free-body diagram.) P W a B B C McD b a a D = 2.00E2 KN By Dy = 193 kN Q E x = SUPPORT Correct. Determine the shear force acting at each of the following locations: (a) x (b) x (c) x = 2.8 m (i.e., just to the left of support B) - 2.8m (i.e., just to the right of support B) = - 11.4 m (i.e., just to the left of support D) - (d) x 11.4 m (i.e., just to the right of support D) When entering your answers, use the shear-force sign convention. (a) V = -5.40E1 KN (b) V = 139 KN (c) V = -162 kN SUPPORT (d) V = 3.80E1 KN Part 3 Your answer is partially correct. Determine the bending moment acting at each of the following locations: (a) x = (b) x = = (c) x (d) x = 2.8 m (i.e., at support B) 8.6 m (i.e., just to the left of point C) - 8.6 + m (i.e., just to the right of point C) 11.4 m (i.e., at support D) When entering your answers, use the bending moment sign convention. (a) M = -1.51E2 (b) M = kNm kNm (c) M = i ! kNm SUPPOR (d) M = -106 kNm Part 4 Find the location x and the corresponding bending moment M at the one point between B and D at which the shear force equals zero. Use the correct sign convention for the bending moment. X = M = eTextbook and Media Save for Later B kNm Attempts: 0 of 2 used Su SUPPORT Part 5 Consider the entire beam and determine the maximum positive bending moment and the location at which it occurs. Use the bending moment sign convention. M = i eTextbook and Media Save for Later kNm Part 6 Consider the entire beam and determine the negative bending moment with the largest absolute value. Use the bending moment sign convention, so enter a negative value. M = eTextbook and Media Save for Later kNm (a) Determine V and M in the beam at a point located 1.50 m to the right of B. (b) Determine V and M in the beam at a point located 1.25 m to the left of D. (a) V = M = (b) V = M = i i kN kNm kN kN.m
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Related Book For
Introduction to Operations Research
ISBN: 978-1259162985
10th edition
Authors: Frederick S. Hillier, Gerald J. Lieberman
Posted Date:
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