Vector Mechanics for Engineers: Statics and Dynamics
11th Edition
ISBN: 9780073398242
Author: Ferdinand P. Beer, E. Russell Johnston Jr., David Mazurek, Phillip J. Cornwell, Brian Self
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 7.2, Problem 7.45P
Assuming the upward reaction of the ground on beam AB to be uniformly distributed (a) draw the shear and bending-moment diagrams, (b) determine the maximum absolute values of the shear and bending moment.
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Draw the shearing-force and bending-moment diagrams for the following beams:
1. A cantilever of length 20 m carrying a load of 10 kN at a distance of 15 m from the supported end.
2. A cantilever of length 20 m carrying a load of 10 kN is uniformly distributed over the inner 15 m of its length.
3. A cantilever of length 12 m carrying a load of 8 kN, applied 5 m from the supported end, and a load of 2kNlm over its whole length.
1. A simply supported beam of length 6 m carrying point loads of 4 kN, and
8 kN at 1 m and 4.5 m respectively from the right support and point loads
of 2 kN and 6 kN acts at 2.5 m and 3.5 m from the left support. Construct
the shear force and bending moment diagram for the beam and also
identify the point at which the maximum shear force and bending
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Assuming that the upward reaction of the ground is uni-formly distributed, draw the shear and bending-moment diagrams for the beam AB and determine the maximum absolute value (a) of the shear, (b) of the bending moment.
Chapter 7 Solutions
Vector Mechanics for Engineers: Statics and Dynamics
Ch. 7.1 - Prob. 7.1PCh. 7.1 - Prob. 7.2PCh. 7.1 - 7.3 Determine the internal forces at point J when...Ch. 7.1 - Prob. 7.4PCh. 7.1 - Prob. 7.5PCh. 7.1 - Prob. 7.6PCh. 7.1 - An archer aiming at a target is pulling with a...Ch. 7.1 - For the bow of Prob. 7.7, determine the magnitude...Ch. 7.1 - A semicircular rod is loaded as shown. Determine...Ch. 7.1 - A semicircular rod is loaded as shown. Determine...
Ch. 7.1 - A semicircular rod is loaded as shown. Determine...Ch. 7.1 - Fig. P7.11 and P7.12 7.12 A semicircular rod is...Ch. 7.1 - The axis of the curved member AB is a parabola...Ch. 7.1 - Knowing that the axis of the curved member AB is a...Ch. 7.1 - Prob. 7.15PCh. 7.1 - 7.16 Knowing that the radius of each pulley is 200...Ch. 7.1 - Prob. 7.17PCh. 7.1 - For the frame of Prob. 7.17, determine the...Ch. 7.1 - Knowing that the radius of each pulley is 200 mm...Ch. 7.1 - Fig. P7.19 and P7.20 7.20 Knowing that the radius...Ch. 7.1 - and 7.22 A force P is applied to a bent rod that...Ch. 7.1 - and 7.22 A force P is applied to a bent rod that...Ch. 7.1 - Prob. 7.23PCh. 7.1 - For the rod of Prob. 7.23, determine the magnitude...Ch. 7.1 - A semicircular rod of weight W and uniform cross...Ch. 7.1 - Prob. 7.26PCh. 7.1 - Prob. 7.27PCh. 7.1 - 7.27 and 7.28 A half section of pipe rests on a...Ch. 7.2 - Prob. 7.29PCh. 7.2 - Prob. 7.30PCh. 7.2 - Prob. 7.31PCh. 7.2 - Prob. 7.32PCh. 7.2 - 7.33 and 7.34 For the beam and loading shown, (a)...Ch. 7.2 - 7.33 and 7.34 For the beam and loading shown, (a)...Ch. 7.2 - 7.35 and 7.36 For the beam and loading shown, (a)...Ch. 7.2 - Prob. 7.36PCh. 7.2 - 7.37 and 7.38 For the beam and loading shown, (a)...Ch. 7.2 - 7.37 and 7.38 For the beam and loading shown, (a)...Ch. 7.2 - For the beam and loading shown, (a) draw the shear...Ch. 7.2 - 7.39 through 7.42 For the beam and loading shown,...Ch. 7.2 - Prob. 7.41PCh. 7.2 - 7.39 through 7.42 For the beam and loading shown,...Ch. 7.2 - Assuming the upward reaction of the ground on beam...Ch. 7.2 - Solve Problem 7.43 knowing that P = 3wa. PROBLEM...Ch. 7.2 - Assuming the upward reaction of the ground on beam...Ch. 7.2 - Prob. 7.46PCh. 7.2 - Prob. 7.47PCh. 7.2 - Prob. 7.48PCh. 7.2 - Prob. 7.49PCh. 7.2 - Prob. 7.50PCh. 7.2 - Prob. 7.51PCh. 7.2 - 7.51 and 7.52 Draw the shear and bending-moment...Ch. 7.2 - Two small channel sections DF and EH have been...Ch. 7.2 - Solve Prob. 7.53 when = 60. PROBLEM 7.53 Two...Ch. 7.2 - For the structural member of Prob. 7.53, determine...Ch. 7.2 - For the beam of Prob. 7.43, determine (a) the...Ch. 7.2 - Determine (a) the distance a for which the maximum...Ch. 7.2 - For the beam and loading shown, determine (a) the...Ch. 7.2 - A uniform beam is to be picked up by crane cables...Ch. 7.2 - Knowing that P = Q = 150 lb, determine (a) the...Ch. 7.2 - Prob. 7.61PCh. 7.2 - Prob. 7.62PCh. 7.3 - 7.63 Using the method of Sec, 73. solve Prob....Ch. 7.3 - Prob. 7.64PCh. 7.3 - Prob. 7.65PCh. 7.3 - Prob. 7.66PCh. 7.3 - Using the method of Sec. 7.3, solve Prob. 7.33....Ch. 7.3 - Using the method of Sec. 7.3, solve Prob. 7.34....Ch. 7.3 - Prob. 7.69PCh. 7.3 - 7.69 and 7.70 For the beam and loading shown, (a)...Ch. 7.3 - Using the method of Sec. 7.3, solve Prob. 7.39....Ch. 7.3 - Prob. 7.72PCh. 7.3 - Using the method of Sec. 7.3, solve Prob. 7.41....Ch. 7.3 - Prob. 7.74PCh. 7.3 - Prob. 7.75PCh. 7.3 - Prob. 7.76PCh. 7.3 - 7.77 and 7.78 For the beam and loading shown. (a)...Ch. 7.3 - 7.77 and 7.78 For the beam and loading shown, (a)...Ch. 7.3 - 7.79 and 7.80 For the beam and loading shown, (a)...Ch. 7.3 - For the beam and loading shown, (a) draw the shear...Ch. 7.3 - 7.81 and 7.82 For the beam and loading shown, (a)...Ch. 7.3 - For the beam and loading shown, (a) draw the shear...Ch. 7.3 - (a) Draw the shear and bending-moment diagrams for...Ch. 7.3 - Solve Prob. 7.83 assuming that the 300-lb force...Ch. 7.3 - For the beam and loading shown, (a) write the...Ch. 7.3 - Prob. 7.86PCh. 7.3 - For the beam and loading shown, (a) write the...Ch. 7.3 - Prob. 7.88PCh. 7.3 - Prob. 7.89PCh. 7.3 - Prob. 7.90PCh. 7.3 - Prob. 7.91PCh. 7.3 - Prob. 7.92PCh. 7.4 - Three loads are suspended as shown from the cable...Ch. 7.4 - Knowing that the maximum tension in cable ABCDE is...Ch. 7.4 - Prob. 7.95PCh. 7.4 - Prob. 7.96PCh. 7.4 - 7.97 Knowing that dC = 3 m, determine (a) the...Ch. 7.4 - Prob. 7.98PCh. 7.4 - Prob. 7.99PCh. 7.4 - Prob. 7.100PCh. 7.4 - Knowing that mB = 70 kg and mC = 25 kg, determine...Ch. 7.4 - Prob. 7.102PCh. 7.4 - Prob. 7.103PCh. 7.4 - Prob. 7.104PCh. 7.4 - Prob. 7.105PCh. 7.4 - If a = 4 m, determine the magnitudes of P and Q...Ch. 7.4 - An electric wire having a mass per unit length of...Ch. 7.4 - Prob. 7.108PCh. 7.4 - Prob. 7.109PCh. 7.4 - Prob. 7.110PCh. 7.4 - Prob. 7.111PCh. 7.4 - Two cables of the same gauge are attached to a...Ch. 7.4 - Prob. 7.113PCh. 7.4 - Prob. 7.114PCh. 7.4 - Prob. 7.115PCh. 7.4 - Prob. 7.116PCh. 7.4 - Prob. 7.117PCh. 7.4 - Prob. 7.118PCh. 7.4 - Prob. 7.119PCh. 7.4 - Prob. 7.120PCh. 7.4 - Prob. 7.121PCh. 7.4 - Prob. 7.122PCh. 7.4 - Prob. 7.123PCh. 7.4 - Prob. 7.124PCh. 7.4 - Prob. 7.125PCh. 7.4 - Prob. 7.126PCh. 7.5 - A 25-ft chain with a weight of 30 lb is suspended...Ch. 7.5 - A 500-ft-long aerial tramway cable having a weight...Ch. 7.5 - Prob. 7.129PCh. 7.5 - Prob. 7.130PCh. 7.5 - Prob. 7.131PCh. 7.5 - Prob. 7.132PCh. 7.5 - Prob. 7.133PCh. 7.5 - Prob. 7.134PCh. 7.5 - Prob. 7.135PCh. 7.5 - Prob. 7.136PCh. 7.5 - Prob. 7.137PCh. 7.5 - Prob. 7.138PCh. 7.5 - Prob. 7.139PCh. 7.5 - Prob. 7.140PCh. 7.5 - Prob. 7.141PCh. 7.5 - Prob. 7.142PCh. 7.5 - Prob. 7.143PCh. 7.5 - Prob. 7.144PCh. 7.5 - Prob. 7.145PCh. 7.5 - Prob. 7.146PCh. 7.5 - Prob. 7.147PCh. 7.5 - Prob. 7.148PCh. 7.5 - Prob. 7.149PCh. 7.5 - Prob. 7.150PCh. 7.5 - A cable has a mass per unit length of 3 kg/m and...Ch. 7.5 - Prob. 7.152PCh. 7.5 - Prob. 7.153PCh. 7 - Knowing that the turnbuckle has been tightened...Ch. 7 - Knowing that the turnbuckle has been tightened...Ch. 7 - Two members, each consisting of a straight and a...Ch. 7 - Knowing that the radius of each pulley is 150 mm,...Ch. 7 - Prob. 7.158RPCh. 7 - For the beam and loading shown, (a) draw the shear...Ch. 7 - For the beam and loading shown, (a) draw the shear...Ch. 7 - Prob. 7.161RPCh. 7 - Prob. 7.162RPCh. 7 - Prob. 7.163RPCh. 7 - Prob. 7.164RPCh. 7 - A 10-ft rope is attached to two supports A and B...
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- The simple beam AB, shown below, supports a concentrated load of 6 kN and a segmentof non-uniform load of intensity varies from 1 kN/m to 3 kN/m at point B.a- Determine the shear force and bending moment at a cross section located 3m from the leading edge A.b- Draw the shear force and the bending moment diagrams for the beam.arrow_forwardThe figure shows a cantilever beam carrying a uniformly distributed load of 4 kN/m and a point load of 16 kN at distance 2 m from the free end. The shear force and bending moment at a position just to the right of point B is, 16 kN 4 kN/m A B 2 m 3 m O a. (-)8 kN, (-8) kNm O b.(-)24 kN, (-)8 kNm O. (-)24 kN, (-)16 kNm O d. Not determinable, (-)16 kNmarrow_forwardA -2 m 60 kN ↓ C D 1 m 25 kN/m 2 m B For the beam and loading shown, (a) Determine the shear and bending moment at point C (b) determine the shear force and bending moment equations for the different section AC, CD, DB. (c) draw the shear and bending moment diagrams, (d) determine the maximum absolute values of the shear and bending moment.arrow_forward
- Draw the shear-force and bending-moment diagrams for the simply supported beam shown. Determine the maximum positive bending and the maximum negative bending moment that occur in the beam.arrow_forwardThe figure shows a cantilever beam carrying a uniformly distributed load of 4 kN/m and a point load of 16 kN at distance 2 m from the free end. The shear force and bending moment at a position just to the right of point B is, 16 kN 4 kN/m C 2 m 3 m O a. (-)8 kN, (-8) kNm O b.(-)24 kN, (-)16 kNm Oc. Not determinable, (-)16 kNm Od. (-)24 kN, (-)8 kNmarrow_forward9. Assuming the reaction of the ground is uniformly dis- tributed, draw the shear and bending-moment diagrams for the beam AB and determine the maximum absolute value of the shear and the bending-moment. You can use whatever method works best for you. 36 kN 10 kN/m 10 kN/m D E A B 0.9 m'0.9 m 0.9 m' 0.9 marrow_forward
- The cantilever beam carries a uniformly varying load as shown. In addition, a 1000 lb-upwardvertical load acts at the free end of the beam. Derive the shear force and bending momentequations and draw the shear force and bending moment diagrams. Neglect the weight of thebeamarrow_forwardIn order to reduce the bending moment in the cantilever beam AB , a cable and counterweight are permanently attached at end B . Determine the magnitude of the counterweight for which the maximum absolute value of the bending moment in the beam is as small as possible and the corresponding value of |M| max. Consider (a) the case when the distributed load is permanently applied to the beam, (b) the more general case when the distributed load may either be applied or removed.arrow_forward4o. kN/m nm + 'yo 40 Determine the reactions at A and B for the beam subjected to the uniform load distribution mm B Draw the shear-force and bending-moment diagrams for the loaded beam and determine the maximum moment M and its location x from the left endarrow_forward
- 2. A beam having two segments joined at a frictionless hinge are supported on three reactions as shown. Determine the reactions, and the shear and moment at each segment. (Take note that the bending moment at the frictionless hinge is zero.) Given: A = 30 kN/m B = 30 kN/m 20 kN A 2 m 2 m 4 m 6 m R2 R3 R1arrow_forwardDraw the shear force and bending moment diagrams for the beam and loading shown, and determine the maximum value absolute (a) of the shear force and (b) of the bending moment. 4 kN -2 m 2 marrow_forwardSketch the free body diagrams of the beam showing all the loading andexternal reactions.arrow_forward
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Bending Stress; Author: moodlemech;https://www.youtube.com/watch?v=9QIqewkE6xM;License: Standard Youtube License