International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN: 9781305501607
Author: Andrew Pytel And Jaan Kiusalaas
Publisher: CENGAGE L
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Chapter 6, Problem 6.47P
Construct the shear force and bending moment diagrams for the beam shown by the area method. Neglect the weight of the beam.
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For the beam shown, derive the expressions for V and M, and draw the shear force and bending
moment diagrams. Calculate the shear force V and bending moment M at a cross section located
0.5 m from the fixed support. Neglect the weight of the beam.
(Show complete calculation and step by step process. Show free body diagram)
1. Construct the shear force and bending moment diagrams for the beam shown by the area
method. Neglect the weight of the beam.
10 kN/m
4 kN/m
25 kNm
E
B
1 m
1 m
3 m
2 m
A fabric of woven polymer fibers is to be held in tension while drying after a treatment in a
chemical bath. Based on the schematic given below, find the force FG required to maintain this
tension, the maximum torsion experienced by the shaft and the reactions at A and B. Then draw
the shear and bending moment diagrams for the shaft in both the x-y and y-z planes. Finally
determine the maximum resultant bending moment and the location along the shaft where it
occurs (treat point A as the origin). Treat the force of the sheet as a distributed load over the
given length.
0.1 m
0.05 m
0.5 m
FG
0.05 m
F₂ = 200 N
RAX
4
RAZ
0.05 m p
0.05 m p
F₂ = 200 N
F₁ = 900 N
Z
F₁ = 900 N
0.075 m
x
RBX
B
RB₂
0.075 m p
FG
Chapter 6 Solutions
International Edition---engineering Mechanics: Statics, 4th Edition
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- For the beam shown, derive the expressions for V and M, and draw the shear force and bending moment diagrams. Neglect the weight of the beam.arrow_forwardConstruct the shear force and bending moment diagrams for the beam shown by the area method. From the diagrams, determine the maximum shear force and maximum bending moment. Neglect the weight of the beam. (Show complete calculation and step by step process. Show free body diagram)arrow_forwardQ3: Draw the shear force and bending moment diagrams for the beam as shown below. Also, find the points of contraflexure. (Use method of sections). 6 kN 20 kN/m D 2 m 2 m 2 marrow_forward
- Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=3.5 m, b=5.0 m, MB = 110 kN-m and MC = 145 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.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.)Determine the shear force acting at each of the following locations:(a) x = 0+ m (i.e., just to the right of point A)(b) x = 3.5– m (i.e., just to the left of B)(c) x = 3.5+ m (i.e., just to the right of B)(d) x = 12.0– m (i.e., just to the left of D)When entering your answers, use the shear force sign convention.Answers:(a) V = kN.(b) V = kN.(c) V = kN.(d) V = kN.arrow_forwardUse the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=3.5 m, b=5.0 m, MB = 110 kN-m and MC = 145 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.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.)Answers: Ay = kN, Dy = kN.arrow_forwardUse the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=3.5 m, b=5.0 m, MB = 110 kN-m and MC = 145 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.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.)Determine the bending moment acting at each of the following locations:(a) x = 3.5– m (i.e., just to the left of B)(b) x = 3.5+ m (i.e., just to the right of B)(c) x = 8.5– m (i.e., just to the left of C)(d) x = 8.5+ m (i.e., just to the right of C)When entering your answers, use the bending moment sign convention.Answers:(a) M = kN-m.(b) M = kN-m.(c) M = kN-m.(d) M = kN-m.arrow_forward
- 2. Construct the shear force and 200 lb/ft bending moment diagrams for the beam shown by the area method. Neglect the weight of the beam. Use an appropriate scale for the shear and moment diagrams. Use rulers for straight edges. A 1200 lb · ft 6 ft 4 ft 4 ft- 200 lb/ft B 1200 lb · ft 6 ft to4ft 4 ft V Marrow_forwardUse the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let o-1.5m.b=3.5 m.w=50 kN/m and P = 45 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. C Calculate the reaction forces A, 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 A, -0, it has been omitted from the free-body diagram.) Answers: A, b KN, D, KN.arrow_forward1arrow_forward
- 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 (both positive and negative) along with their respective locations. Clearly differentiate straight-line and curved portions of the diagrams. 2,400 lb 6,000 lb-ft A 3 ft 3 ft 600 lb/ft 9 ft 3 ftarrow_forwardCalculate the shear force and bending moment for the simply supported beam of length 8m with the self-weight of 1OKN given below. Also draw the shear force and bending moment diagrams. 6 kN 5 kN 4 kN 1m 2m 3marrow_forward
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