Engineering Mechanics: Statics
13th Edition
ISBN: 9780132915540
Author: Russell C. Hibbeler
Publisher: Prentice Hall
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Textbook Question
Chapter 7.2, Problem 46P
Draw the shear and moment diagrams for the beam (a) in terms of the parameters shown; (b) set P = 6001b, a = 5ft, b = 7ft.
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5. Draw the shear force for the beam shown. Label all significant points on the diagram and clearly
distinguish straight-line and curve portions of the diagram. The ground reactions are Ay = 340 kN
upward, Cx = 0 and Cy = 620 kN upward
160 kN
120 kN/m
50 kN/m
C
-5 m-
-2 m-
-2 m
SHEAR AND MOMENT DIAGRAM
PROBLEM 2
Use the AREA method to construct the shear-force and bending-moment diagrams for
the beam shown. Let a = 6.9 ft, b = 10.4 ft, c = 5.8 ft, and w = 9.5 kips/ft. 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. Determine the maximum shear force and bending
moment in the beam.
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. If the magnitudes of the largest positive and
largest negative values are the same, enter a positive number. The roller at
point D indicates that motion is restricted both up and down, and the beam will not lift
off the roller.
a
B
W
b
C
D
X
SHEAR AND MOMENT DIAGRAM
PROBLEM 2
Use the AREA method to construct the shear-force and bending-moment diagrams for
the beam shown. Let a = 6.9 ft, b = 10.4 ft, c = 5.8 ft, and w = 9.5 kips/ft. 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. Determine the maximum shear force and bending
moment in the beam.
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. If the magnitudes of the largest positive and
largest negative values are the same, enter a positive number. The roller at
point D indicates that motion is restricted both up and down, and the beam will not lift
off the roller.
a
B
W
b
O
D
X
Chapter 7 Solutions
Engineering Mechanics: Statics
Ch. 7.1 - Determine the normal force, shear force, and...Ch. 7.1 - Determine the normal force, shear force, and...Ch. 7.1 - Determine the normal force, shear force, and...Ch. 7.1 - Determine the normal force, shear force, and...Ch. 7.1 - Determine the normal force, shear force, and...Ch. 7.1 - Assume A is pinned and B is a roller. Prob. F7-6Ch. 7.1 - Assume the support at B is a roller. Point C is...Ch. 7.1 - Determine the shear force and moment at points C...Ch. 7.1 - If the suspended load has a weight of 2 kN and a...Ch. 7.1 - Prob. 4P
Ch. 7.1 - Prob. 5PCh. 7.1 - Determine the distance a as a fraction of the...Ch. 7.1 - Prob. 7PCh. 7.1 - Prob. 8PCh. 7.1 - Take P = 8 kN. Prob. 7-9Ch. 7.1 - Determine the largest vertical load P the frame...Ch. 7.1 - The shaft is supported by a journal bearing at A...Ch. 7.1 - Determine the internal normal force, shear force,...Ch. 7.1 - Prob. 13PCh. 7.1 - Prob. 14PCh. 7.1 - Prob. 15PCh. 7.1 - Prob. 16PCh. 7.1 - Prob. 17PCh. 7.1 - Point E is just to the right of the 3-kip load....Ch. 7.1 - Prob. 19PCh. 7.1 - Determine the internal normal force, shear force,...Ch. 7.1 - Prob. 21PCh. 7.1 - Prob. 22PCh. 7.1 - Prob. 23PCh. 7.1 - Determine the internal normal force, shear force,...Ch. 7.1 - Prob. 25PCh. 7.1 - Determine the ratio of a/b for which the shear...Ch. 7.1 - Prob. 27PCh. 7.1 - Prob. 28PCh. 7.1 - Determine the normal force, shear force, and...Ch. 7.1 - Determine the normal force, shear force, and...Ch. 7.1 - Prob. 31PCh. 7.1 - Prob. 32PCh. 7.1 - Prob. 33PCh. 7.1 - Prob. 34PCh. 7.1 - Prob. 35PCh. 7.1 - Prob. 36PCh. 7.1 - Prob. 37PCh. 7.1 - Prob. 38PCh. 7.1 - Prob. 39PCh. 7.1 - Prob. 40PCh. 7.1 - Determine the x, y, z components of force and...Ch. 7.1 - z components of force and moment at point C in the...Ch. 7.1 - Prob. 43PCh. 7.1 - Prob. 44PCh. 7.2 - Determine the shear and moment as a function of x,...Ch. 7.2 - Determine the shear and moment as a function of x,...Ch. 7.2 - Determine the shear and moment as a function of x,...Ch. 7.2 - Determine the shear and moment as a function of x,...Ch. 7.2 - Determine the shear and moment as a function of x,...Ch. 7.2 - Determine the shear and moment as a function of x,...Ch. 7.2 - Prob. 45PCh. 7.2 - Draw the shear and moment diagrams for the beam...Ch. 7.2 - Draw the shear and moment diagrams for the beam...Ch. 7.2 - Draw the shear and moment diagrams of the beam (a)...Ch. 7.2 - If L = 9 m, the beam will fail when the maximum...Ch. 7.2 - Draw the shear and moment diagrams for the...Ch. 7.2 - Prob. 51PCh. 7.2 - Prob. 52PCh. 7.2 - Draw the shear and moment diagrams for the beam....Ch. 7.2 - Prob. 54PCh. 7.2 - Draw the shear and bending-moment diagrams for the...Ch. 7.2 - Prob. 56PCh. 7.2 - Draw the shear and bending-moment diagrams for...Ch. 7.2 - Draw the shear and moment diagrams for the...Ch. 7.2 - Prob. 59PCh. 7.2 - The shaft is supported by a smooth thrust bearing...Ch. 7.2 - Prob. 61PCh. 7.2 - Prob. 62PCh. 7.2 - Prob. 63PCh. 7.2 - Prob. 64PCh. 7.2 - Prob. 65PCh. 7.2 - Draw the shear and moment diagrams for the beam....Ch. 7.2 - Prob. 67PCh. 7.2 - Prob. 68PCh. 7.2 - Express the internal shear and moment components...Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Prob. 70PCh. 7.3 - Prob. 71PCh. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Prob. 73PCh. 7.3 - Draw the shear and moment diagrams for the...Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Prob. 76PCh. 7.3 - Prob. 77PCh. 7.3 - Draw the shear and moment diagrams for the shaft....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Prob. 80PCh. 7.3 - Prob. 81PCh. 7.3 - Prob. 82PCh. 7.3 - Prob. 83PCh. 7.3 - Prob. 84PCh. 7.3 - Prob. 85PCh. 7.3 - Prob. 86PCh. 7.3 - Prob. 87PCh. 7.3 - Prob. 88PCh. 7.3 - Prob. 89PCh. 7.3 - Prob. 90PCh. 7.3 - Prob. 91PCh. 7.3 - Prob. 92PCh. 7.3 - Prob. 93PCh. 7.4 - Prob. 94PCh. 7.4 - Prob. 95PCh. 7.4 - Determine the tension in each segment of the cable...Ch. 7.4 - Prob. 97PCh. 7.4 - Prob. 98PCh. 7.4 - Prob. 99PCh. 7.4 - If cylinder E has a mass of 20 kg and each cable...Ch. 7.4 - Prob. 101PCh. 7.4 - Prob. 102PCh. 7.4 - If yB = 1.5 ft. determine the largest weight of...Ch. 7.4 - The cable AB is subjected to a uniform loading of...Ch. 7.4 - Determine the maximum uniform loading w, measured...Ch. 7.4 - The cable is subjected to a uniform loading of w =...Ch. 7.4 - Prob. 107PCh. 7.4 - Prob. 108PCh. 7.4 - If the pipe has a mass per unit length of 1500...Ch. 7.4 - Prob. 110PCh. 7.4 - Prob. 111PCh. 7.4 - Prob. 112PCh. 7.4 - Prob. 113PCh. 7.4 - A telephone line (cable) stretches between two...Ch. 7.4 - Prob. 115PCh. 7.4 - Prob. 116PCh. 7.4 - Prob. 117PCh. 7.4 - A cable has a weight of 5 lb/ft. If it can span...Ch. 7.4 - Prob. 119PCh. 7.4 - The power transmission cable weighs 10 lb/fl. If...Ch. 7.4 - The power transmission cable weighs 10 lb/ft. If h...Ch. 7.4 - Prob. 122PCh. 7.4 - Prob. 123PCh. 7.4 - The man picks up the 52-ft chain and holds it just...Ch. 7.4 - Determine the internal normal force, shear force,...Ch. 7.4 - Draw the shear and moment diagrams for the beam....Ch. 7.4 - Prob. 127RPCh. 7.4 - Prob. 128RPCh. 7.4 - Prob. 129RPCh. 7.4 - Prob. 130RPCh. 7.4 - Prob. 131RPCh. 7.4 - Prob. 132RPCh. 7.4 - Draw the shear and moment diagrams for the beam....Ch. 7.4 - Determine the normal force, shear force, and...Ch. 7.4 - Draw the shear and moment diagrams for the beam....Ch. 7.4 - Prob. 137RPCh. 7.4 - Prob. 138RPCh. 7.4 - Prob. 139RP
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- 3 For the beam shown, find the reactions at the supports and plot the shear-force and bending-moment diagrams. V = 9 kN, V2 = 9 kN, V3 = 200 mm, and V4 = 1100 mm. ATAT-V3 Provide values at all key points shown in the given shear-force and bending-moment diagrams. X (mm) B A = B = C = D = E= F= P = Q = E * KN * KN * KN × KN KN x KN ✩ kN.mm *kN.mm D 0.00 Reaction force R₁ (left) = In the shear-force and bending-moment diagrams given, +V 0.00 X (mm) 6.3 kN and reaction force R2 (right) = P 11.7 kN. Q 0.00arrow_forwardConstruct the shear and moment diagrams for the loaded beam shown. After you have the diagrams, answer the questions. *+ °m = m- 4.7 kN/m 2.0 kN/m B 4.6 m Questions: At x = 1.1 m, V = kN, M= i kN-m Atx = 3.8 m, V= kN, M= kN-m The absolute value of the maximum shear force Vmax= at x kN, i i is The absolute value of the maximum bending Mmax at x kN-m, i moment is Earrow_forward10 lb/ft B 5 ft 3 ft Ay = 25 lb By = 25 lb %3Darrow_forward
- The figure below shows a horizontal beam of uniform cross-section, rigidly built-in at each end and having a 10 m long clear span. The beam is loaded as shown. Draw the shear force and bending moment diagrams and determine the point(s) of contraflexture. 40 kN 32 kN 32 kN 40 kN 25 kN/m 2 m 2 m 2 m 2 m 2 marrow_forwardDraw the shear diagram for the beam. Set Mo = 500 N⋅m, L = 8 m. Draw the moment diagram for the beam. Set Mo = 500 N⋅m, L = 8 m.arrow_forwardPlot the shear and moment diagrams for the beam subjected to the concentrated force and distributed load. Then answer the questions to check your work. Assume w₁ = 3.1 kN/m, w2 = 2.0 kN/m, F = 8.0 kN, a = 13 m, b = 3m. W A Questions: k W = Wo - kx³/2 F พ, B b- -x When x = 4.2 m, V = KN M= i kN-m When x = 14.9 m, V = kN M= <- d kN-marrow_forward
- Draw the shear diagram for the beam. Set P = 800 lb, a = 5 ft, L = 12 ft. Draw the moment diagram for the beam. Set P = 800 lb, a = 5 ft, L = 12 ft.arrow_forwardProblems The beam shown supports a load that varies uniformly from 100 N/m at the left end to 200 N/m at the right end. The lengths of the beam segments are d1 = 12 m, d2 = 8 m, and d3 = 4 m. 1. Determine the reaction at A. 2. Determine the reaction at C. 3. Draw a schematic of the standard convention for the meaning of positive shears and bending moments (see Section 8.2). Use your diagram to help you answer 4 And 5. 4. Determine the internal shear at a section passing through point D. 5. Determine the internal bending moment at a section passing through point D.arrow_forwardConstruct the load, shear, and moment diagrams for the following beam conditions using the semigraphical approach 4K W=24/FT.arrow_forward
- Draw the Shear force diagram & Bending moment diagram for the cantilever beam as shown in figure, mark the salient points in the diagram. Neglect the self-weight of the beam, where F, =25 N, F2 =40N, F3 =30 N, F4 =20N, a =5 m, b=2 m, c=4 m, d=4 m F4 F3 F2 F1 E D A d. b a (Enter only the values in the boxes by referring the units given in bracket. Also upload the hand written answer in the link provided) (i) The reaction at the fixed support "A" (unit in N)=_ (ii) Shear force at the point "A" (Unit in N) = %3D (iii) Shear force at the point "E" (Unit in N) = %3Darrow_forwardDraw the Shear force diagram & Bending moment diagram for the cantilever beam as shown in figure, mark the salient points in the diagram. Neglect the self-weight of the beam, where F1 =10 N, F2 =60N, F3 =30 N, F4 =10N, a =5 m, b=2 m, c=3 m, d=5 m F4 F3 F2 F1 E A d. aarrow_forwardWrite the shear moment equations for the beams in the following problems. In each problem,let x be the distance measured from the left end of the beam. Also draw the Shear and moment diagrams, specifying values at all change of loading points and all the points of zero sheararrow_forward
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Understanding Shear Force and Bending Moment Diagrams; Author: The Efficient Engineer;https://www.youtube.com/watch?v=C-FEVzI8oe8;License: Standard YouTube License, CC-BY
Bending Stress; Author: moodlemech;https://www.youtube.com/watch?v=9QIqewkE6xM;License: Standard Youtube License