Part 1 Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a = 5 m, b = 3 m, PB = 65 kN, Pc = 90 kN, and PE = 30 kN. 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 Answer: Ay = Pc B b Pc C Calculate the reaction forces Ay and Dy 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 D D D₂ a kN, Dy= PE E PE E kN.

Part 1 Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a = 5 m, b = 3 m, PB = 65 kN, Pc = 90 kN, and PE = 30 kN. 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 Answer: Ay = Pc B b Pc C Calculate the reaction forces Ay and Dy 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 D D D₂ a kN, Dy= PE E PE E kN.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

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=3.50 m, b=5.25 m, c= 3.25 m, P = 30kN and M = 180kN-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.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.)Answers: Ay = kN Cy = kN Part 2 Determine the shear force acting at each of the following locations:(a) x = 3.50- (i.e., just to the left of point B)(b) x = 3.50+ (i.e., just to the right of point B)(c) x = 8.75- (i.e., just to the left of point C)(d) x = 8.75+ (i.e., just to the right of point C)Note that x = 0 at…
For the beam and loading shown, (a) Use discontinuity functions to write the expression for w(x). Include the beam reactions in this expression. (b) Integrate w(x) twice to determine V(x) and M(x). (c) Use V(x) and M(x) to plot the shear-force and bending-moment diagrams. Let a = 5.0 m, b = 1.7 m, wA = 16 kN/m, and wB = 46 kN/m. Label all significant points on each diagram and identify the maximum shear force and bending moment along with their respective locations. Clearly differentiate straight-line and curved portions of the diagrams. Note that answers may be positive or negative. Here, "maximum" refers to the largest magnitude value, but you should enter your shear force and bending moment with the correct sign, using the sign convention presented in Section 7.2 of the textbook. If the magnitudes of the largest positive and largest negative values are the same, enter a positive number.
For the beam shown, the magnitude of the concentrated load is P = 12 kN, the magnitude of the couple is MB = 150 kN·m, and the beam lengths are a = 4.7 m and b = 14.1 m. (a) derive equations for the shear force V and the bending moment M for any location in the beam. Place the origin at point A. (b) use the derived functions to plot the shear-force and bending-moment diagrams for the beam. Use your diagrams to determine the magnitudes of the maximum shear force and the maximum bending moment. Note that answers may be positive or negative. Here, "maximum" refers to the largest magnitude value, but you should enter your shear force and bending moment with the correct sign, using the sign convention presented in Section 7.2 of the textbook. If the magnitudes of the largest positive and largest negative values are the same, enter a positive number.
Determine the following unknowns on the beam shown below using Conjugated-Beam Method. Consider 250 mm x 250 mm and E = 200 GPa. Note: a = 4.5 m b = 33.0 kN/m c = 13 kN Find the ff. A. Vertical reaction at C in kN. B. Moment reaction at C in kN. C. Deflection at point B in mm. D. Maximum deflection on the beam in mm.
For the beam shown, the magnitude of the concentrated load is P = 23 kN, the magnitude of the couple is MB = 350 kN·m, and the beam lengths are a = 7.2 m and b = 21.6 m.(a) derive equations for the shear force V and the bending moment M for any location in the beam. Place the origin at point A.(b) use the derived functions to plot the shear-force and bending-moment diagrams for the beam. Use your diagrams to determine the magnitudes of the maximum shear force and the maximum bending moment.Note that answers may be positive or negative. Here, "maximum" refers to the largest magnitude value, but you should enter your shear force and bending moment with the correct sign, using the sign convention presented in Section 7.2 of the textbook. If the magnitudes of the largest positive and largest negative values are the same, enter a positive number. Part 1 Cut a cross-section through the beam at variable distance x, where 0 < x < a. Derive equations for the shear force V and…
For the beam shown, the magnitude of the concentrated load is P = 16 kN, the magnitude of the couple is MB = 170 kN·m, and the beam lengths are a = 4.7 m and b = 14.1 m.(a) derive equations for the shear force V and the bending moment M for any location in the beam. Place the origin at point A.(b) use the derived functions to plot the shear-force and bending-moment diagrams for the beam. Use your diagrams to determine the magnitudes of the maximum shear force and the maximum bending moment.Note that answers may be positive or negative. Here, "maximum" refers to the largest magnitude value, but you should enter your shear force and bending moment with the correct sign, using the sign convention presented in Section 7.2 of the textbook. If the magnitudes of the largest positive and largest negative values are the same, enter a positive number.
Use the graphical method to construct the shear force and bending moment diagrams for the beam shown. Let a=2.0m , b=3.0m , w=60kN/m , and P=65kN.a) What is the maximum shear force on the beam? Answer in kN, rounded off to the nearest integerb) What is the maximum bending moment on the beam? Answer in kN/m, rounded off to the nearest integer
For the beam and loading shown,(a) Use discontinuity functions to write the expression for w(x). Include the beam reactions in this expression.(b) Integrate w(x) twice to determine V(x) and M(x).(c) Use V(x) and M(x) to plot the shear-force and bending-moment diagrams.Let a = 3.8 m, b = 1.3 m, wA = 17 kN/m, and wB = 51 kN/m. Label all significant points on each diagram and identify the maximum shear force and bending moment along with their respective locations. Clearly differentiate straight-line and curved portions of the diagrams.Note that answers may be positive or negative. Here, "maximum" refers to the largest magnitude value, but you should enter your shear force and bending moment with the correct sign, using the sign convention presented in Section 7.2 of the textbook. If the magnitudes of the largest positive and largest negative values are the same, enter a positive number.
Consider the frame shown in figure. Suppose that P1 = 5.5 k and P2 = 11 k. Each column has the cross-sectional area indicated. Solve the problem using the cantilever method of analysis. Assume that the internal moment, shear, and normal force in the vertical beam are positive if they act as shown in (Figure 2). a) Determine (approximately) the normal force at A. NA = _____ k Submitted Answers ANSWER 1: Deduction: -3% NA = 4.973 k ANSWER 2: Deduction: -3% NA = 3.8254 k ANSWER 3: Deduction: -3% NA = 5.933 k
Consider the simply supported beam shown in (Figure 1). Suppose that P = 18 kN , w = 7 kN/m . Point D is located just to the left of the 18-kN concentrated load. Follow the sign convention. Part A Part complete Determine the internal normal force at point C. Express your answer to three significant figures and include the appropriate units Part B Determine the internal shear force at point C. Express your answer to three significant figures and include the appropriate units. Part C Determine the internal moment at point C. Express your answer to three significant figures and include the appropriate units. Part D Part complete Determine the internal normal force at point D. Express your answer to three significant figures and include the appropriate units. Part E Determine the internal shear force at point D. Express your answer to three significant figures and include the appropriate units. Part F Determine the internal moment at…
Consider the overhang beam shown in (Figure 1). Suppose that P = 6 kN, M= 6 kN⋅m, w= 4 kN/m. Point D is located just to the left of the roller support at BB, where the couple moment acts. Follow the sign convention. Part A Determine the internal normal force at point D. Express your answer to three significant figures and include the appropriate units. Part B Determine the internal shear force at point D. Express your answer to three significant figures and include the appropriate units. Part C Determine the internal moment at point D. Express your answer to three significant figures and include the appropriate units. Part D Determine the internal normal force at point E. Express your answer to three significant figures and include the appropriate units. Part E Determine the internal shear force at point E. Express your answer to three significant figures and include the appropriate units. Part F Determine the internal moment at point…
As shown below, a beam is subjected to a distributed load and a moment. The length of the beam is l= 9.00 ft , the applied moment is M1 = 50.0 lb⋅ft , and the distributed load is w = 50.0 lb/ft . What are the reaction forces Ay and Dy at points A and D, respectively? What are the expressions for the shear, V, and the bending moment, M, within the beam between points A and B in terms of Ay and x, the arbitrary distance to the sectional cut from the beam's left end? What are the expressions for the shear, V, and the bending moment, M, within the beam between points B and C in terms of Ay, M1, and x, the distance to the sectional cut from the beam's left end? What are the expressions for the shear, V, and the bending moment, M, within the beam between points C and D in terms of Ay, M1, l, w, and x, the distance to the sectional cut from the beam's left end?