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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Chapter 6.1, Problem 6.34P
To determine
The zero-force members in each of the two trusses.
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Problem 7
Compute the reaction forces in B and D.
Hint: in this case, since you have to determine the external reactions only, you can consider the
truss as a single rigid body
4.5 m
4.5 m
B
2.8 m
A
8.4 kN
8.4 kN
Problem 6. The truss below was designed to hang a one-of-a-kind sign that weighs 1000 lb. The sign
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of the truss; the rod is pin connected at both ends. The truss is attached to the wall by a pin at A and
another cable (there are 3 cables at point H). Find the internal force in members AE, CH, EC, and EF.
H
cable
cable
8'
pin
B
с
cable
8'
3'
3'
rod
E
F
6'
1'
1.5'
2'>
sign: 6'x 8', 1000 lb
in the fink truss shown in fig. p-4-4.5, the web members BC and EF are perpendicular to the inclined members of their midpoints. if p=2000lb, use the method of sections to determine the force in DF, DE, and CE
Chapter 6 Solutions
Vector Mechanics for Engineers: Statics and Dynamics
Ch. 6.1 - 6.1 through 6.8 Using the method of joints,...Ch. 6.1 - 6.1 through 6.8 Using the method of joints,...Ch. 6.1 - Prob. 6.3PCh. 6.1 - 6.1 through 6.8 Using the method of joints,...Ch. 6.1 - Prob. 6.5PCh. 6.1 - Using the method of joints, determine the force in...Ch. 6.1 - 6.1 through 6.8 Using the method of joints,...Ch. 6.1 - Prob. 6.8PCh. 6.1 - 6.9 and 6.10 Determine the force in each member of...Ch. 6.1 - Prob. 6.10P
Ch. 6.1 - Determine the force in each member of the Gambrel...Ch. 6.1 - Determine the force in each member of the Howe...Ch. 6.1 - Using the method of joints, determine the force in...Ch. 6.1 - 6.14 Determine the force in each member of the...Ch. 6.1 - Determine the force in each member of the Warren...Ch. 6.1 - Solve Problem 6.15 assuming that the load applied...Ch. 6.1 - Determine the force in each member of the Pratt...Ch. 6.1 - The truss shown is one of several supporting an...Ch. 6.1 - Determine the force in each member of the Pratt...Ch. 6.1 - Prob. 6.20PCh. 6.1 - Determine the force in each of the members located...Ch. 6.1 - Determine the force in member DE and in each of...Ch. 6.1 - Determine the force in each of the members located...Ch. 6.1 - The portion of truss shown represents the upper...Ch. 6.1 - For the tower and loading of Prob. 6.24 and...Ch. 6.1 - Solve Problem 6.24 assuming that the cables...Ch. 6.1 - Determine the force in each member of the truss...Ch. 6.1 - Determine the force in each member of the truss...Ch. 6.1 - 6.29 Determine whether the trusses of Probs....Ch. 6.1 - 6.30 Determine whether the trusses of Probs....Ch. 6.1 - Prob. 6.31PCh. 6.1 - Prob. 6.32PCh. 6.1 - For the given loading, determine the zero-force...Ch. 6.1 - Prob. 6.34PCh. 6.1 - Prob. 6.35PCh. 6.1 - Prob. 6.36PCh. 6.1 - The truss shown consists of six members and is...Ch. 6.1 - The truss shown consists of nine members and is...Ch. 6.1 - The truss shown consists of nine members and is...Ch. 6.1 - Solve Prob. 6.39 for P = 0 and Q = (900 N)k. 6.39...Ch. 6.1 - The truss shown consists of 18 members and is...Ch. 6.1 - The truss shown consists of 18 members and is...Ch. 6.2 - 6.43 A Mansard roof truss is loaded as shown....Ch. 6.2 - 6.44 A Mansard roof truss is loaded as shown....Ch. 6.2 - Determine the force in members BD and CD of the...Ch. 6.2 - Determine the force in members DF and DG of the...Ch. 6.2 - Prob. 6.47PCh. 6.2 - Prob. 6.48PCh. 6.2 - Determine the force in members CD and DF of the...Ch. 6.2 - Determine the force in members CE and EF of the...Ch. 6.2 - Determine the force in members DE and DF of the...Ch. 6.2 - Prob. 6.52PCh. 6.2 - Determine the force in members DF and DE of the...Ch. 6.2 - Prob. 6.54PCh. 6.2 - Prob. 6.55PCh. 6.2 - 6.56 A monosloped roof truss is loaded as shown....Ch. 6.2 - A Howe scissors roof truss is loaded as shown....Ch. 6.2 - A Howe scissors roof truss is loaded as shown....Ch. 6.2 - Determine the force in members AD, CD, and CE of...Ch. 6.2 - Determine the force in members DG, FG, and FH of...Ch. 6.2 - 6.61 Determine the force in members DG and FI of...Ch. 6.2 - Prob. 6.62PCh. 6.2 - Prob. 6.63PCh. 6.2 - Prob. 6.64PCh. 6.2 - The diagonal members in the center panels of the...Ch. 6.2 - The diagonal members in the center panels of the...Ch. 6.2 - Prob. 6.67PCh. 6.2 - Prob. 6.68PCh. 6.2 - Classify each of the structures shown as...Ch. 6.2 - Classify each of the structures shown as...Ch. 6.2 - Prob. 6.71PCh. 6.2 - 6.70 through 6.74 classify as determinate or...Ch. 6.2 - 6.70 through 6.74 classify as determinate or...Ch. 6.2 - 6.70 through 6.74 classify as determinate or...Ch. 6.3 - For the frame and loading shown, draw the...Ch. 6.3 - For the frame and loading shown, draw the...Ch. 6.3 - Draw the free-body diagram(s) needed to determine...Ch. 6.3 - Knowing that the pulley has a radius of 0.5 m,...Ch. 6.3 - 6.75 and 6.76 Determine the force in member BD and...Ch. 6.3 - 6.75 and 6.76 Determine the force in member BD and...Ch. 6.3 - For the frame and loading shown, determine the...Ch. 6.3 - Determine the components of all forces acting on...Ch. 6.3 - Prob. 6.79PCh. 6.3 - Prob. 6.80PCh. 6.3 - Determine the components of all forces acting on...Ch. 6.3 - Determine the components of all forces acting on...Ch. 6.3 - Determine the components of the reactions at A and...Ch. 6.3 - Determine the components of the reactions at D and...Ch. 6.3 - Determine the components of the reactions at A and...Ch. 6.3 - Determine the components of the reactions at A and...Ch. 6.3 - 6.87 Determine the components of the reactions at...Ch. 6.3 - The 48-lb load can be moved along the line of...Ch. 6.3 - The 48-lb load is removed and a 288-lb in....Ch. 6.3 - (a) Show that, when a frame supports a pulley at...Ch. 6.3 - Knowing that each pulley has a radius of 250 mm,...Ch. 6.3 - Knowing that the pulley has a radius of 75 mm,...Ch. 6.3 - Prob. 6.93PCh. 6.3 - Prob. 6.94PCh. 6.3 - Prob. 6.95PCh. 6.3 - Prob. 6.96PCh. 6.3 - Prob. 6.97PCh. 6.3 - Prob. 6.98PCh. 6.3 - Knowing that P = 90 lb and Q = 60 lb, determine...Ch. 6.3 - Knowing that P = 90 lb and Q = 60 lb, determine...Ch. 6.3 - For the frame and loading shown, determine the...Ch. 6.3 - For the frame and loading shown, determine the...Ch. 6.3 - Prob. 6.103PCh. 6.3 - 6.104 Solve Prob. 6.103 assuming that the 360-lb...Ch. 6.3 - For the frame and loading shown, determine the...Ch. 6.3 - Prob. 6.106PCh. 6.3 - The axis of the three-hinge arch ABC is a parabola...Ch. 6.3 - The axis of the three-hinge arch ABC is a parabola...Ch. 6.3 - Prob. 6.109PCh. 6.3 - Prob. 6.110PCh. 6.3 - 6.111, 6.112, and 6.113 Members ABC and CDE are...Ch. 6.3 - Prob. 6.112PCh. 6.3 - 6.111, 6.112, and 6.113 Members ABC and CDE are...Ch. 6.3 - Prob. 6.114PCh. 6.3 - Solve Prob. 6.112 assuming that the force P is...Ch. 6.3 - Prob. 6.116PCh. 6.3 - Prob. 6.117PCh. 6.3 - Prob. 6.118PCh. 6.3 - 6.119 through 6.121 Each of the frames shown...Ch. 6.3 - 6.119 through 6.121 Each of the frames shown...Ch. 6.3 - 6.119 through 6.121 Each of the frames shown...Ch. 6.4 - An 84-lb force is applied to the toggle vise at C....Ch. 6.4 - For the system and loading shown, draw the...Ch. 6.4 - Prob. 6.7FBPCh. 6.4 - The position of member ABC is controlled by the...Ch. 6.4 - The shear shown is used to cut and trim...Ch. 6.4 - A 100-lb force directed vertically downward is...Ch. 6.4 - Prob. 6.124PCh. 6.4 - The control rod CE passes through a horizontal...Ch. 6.4 - Solve Prob. 6.125 when (a) = 0, (b) = 6. Fig....Ch. 6.4 - The press shown is used to emboss a small seal at...Ch. 6.4 - The press shown is used to emboss a small seal at...Ch. 6.4 - Prob. 6.129PCh. 6.4 - The pin at B is attached to member ABC and can...Ch. 6.4 - Arm ABC is connected by pins to a collar at B and...Ch. 6.4 - Arm ABC is connected by pins to a collar at B and...Ch. 6.4 - The Whitworth mechanism shown is used to produce a...Ch. 6.4 - Prob. 6.134PCh. 6.4 - Prob. 6.135PCh. 6.4 - Prob. 6.136PCh. 6.4 - 6.137 and 6.138 Rod CD is attached to the collar D...Ch. 6.4 - 6.137 and 6.138 Rod CD is attached to the collar D...Ch. 6.4 - Two hydraulic cylinders control the position of...Ch. 6.4 - Prob. 6.140PCh. 6.4 - Prob. 6.141PCh. 6.4 - Prob. 6.142PCh. 6.4 - Prob. 6.143PCh. 6.4 - Prob. 6.144PCh. 6.4 - The pliers shown are used to grip a...Ch. 6.4 - 6.146 Determine the magnitude of the gripping...Ch. 6.4 - In using the bolt cutter shown, a worker applies...Ch. 6.4 - Prob. 6.148PCh. 6.4 - Prob. 6.149PCh. 6.4 - and 6.150 Determine the force P that must be...Ch. 6.4 - Prob. 6.151PCh. 6.4 - Prob. 6.152PCh. 6.4 - 6.153 The motion of the bucket of the front-end...Ch. 6.4 - Prob. 6.154PCh. 6.4 - The telescoping arm ABC is used to provide an...Ch. 6.4 - The telescoping arm ABC of Prob. 6.155 can be...Ch. 6.4 - The motion of the backhoe bucket shown is...Ch. 6.4 - Prob. 6.158PCh. 6.4 - Prob. 6.159PCh. 6.4 - In the planetary gear system shown, the radius of...Ch. 6.4 - Two shafts AC and CF, which lie in the vertical xy...Ch. 6.4 - Two shafts AC and CF, which lie in the vertical xy...Ch. 6.4 - The large mechanical tongs shown are used to grab...Ch. 6 - Using the method of joints, determine the force in...Ch. 6 - Using the method of joints, determine the force in...Ch. 6 - A stadium roof truss is loaded as shown. Determine...Ch. 6 - A stadium roof truss is loaded as shown. Determine...Ch. 6 - Determine the components of all forces acting on...Ch. 6 - Prob. 6.169RPCh. 6 - Knowing that the pulley has a radius of 50 mm,...Ch. 6 - For the frame and loading shown, determine the...Ch. 6 - For the frame and loading shown, determine the...Ch. 6 - Water pressure in the supply system exerts a...Ch. 6 - A couple M with a magnitude of 1.5 kNm is applied...Ch. 6 - Prob. 6.175RP
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- Problem 2 (Pro 3.25 Textbook): Identify the zero-force members in the trusses belowarrow_forward5.1 through 5.7 Calculate the forces in all members of the trusses shown using the method of joints.arrow_forwardFor the truss shown below: 1. Calculate the force in all members (Using the method of joints). 2. Indicate if members AB, BE, and DE are compression or tension members. 3. Calculate the force in member BE (Using the method of sections). 4. Compare the results for part (1) and part (2) 4 m A 3 m 12 kN D B 3 m E 3 kN Carrow_forward
- For the truss given below, it is desired to determine the normal efforts that act on the members, so that, thus, possible constraints for its design are possible. Consider that at point A there is a second gender support; and at point D, a first-class support. As this is asked: what is the effort acting on bar AB? Is it guidance or assessment?Source: Hibbeler (2004, p. 588). HIBBELER, R. C. Resistance of Materials. 5. ed. Rio de Janeiro: Technical and Scientific Books Publisher, 2004. Question 1 options: a) A compression force of 100 kN acts on bar AB. B) A tensile effort of 100 kN acts on bar AB. c) A compressive force of 141.42 kN acts on bar AB. d) A compression force of 200 kN acts on bar AB. e) A tensile effort of 141.42 kN acts on bar AB.arrow_forward5.2.11 Consider the truss shown in Prob- lem 5.2.6. Find the tension in rod CH. [Hint: you may have to use multiple sec- tions or solve Problem 5.2.6 first.]arrow_forwardCalculate the forces in members BC, BD, and CF for the truss shown in figure. Indicate the tension or compression. The cross sectional area of each member is 1600 mm2. 3 m 3 m 4 m 60 kN 90 kN 4 m Fbc= kN Fbd= kN Fcf= kNarrow_forward
- -24 m- 48 KN -24 m- D 0.7 m 35 kN PROBLEM 6.4 Using the method of joints, determine the force in each member of the truss shown. State whether each member is in tension or compression.arrow_forwardSee the truss shown below, supported by pins at A and G. Determine the force in members BC, CF, and FE, and state whether each of these three members is in tension (T) or compression (C), or whether any of them are zero-force members (ZFMS). Provide Given, Find, Assumptions, Problem Type/Features, FBDS, Calculations, and Conclusions in your solution. C 4 m E D 3 m 3 m 3 m 10 kNarrow_forwardEach member of the cantilever truss in Fig.3 are experiencing compression and tension forces. Compare the forces in members CD, CJ, and DJ if the support at I is changed to H. 6 panels at 3 m M L K I 4 m 5 m B C D E F G L L L. L L Fig. 3arrow_forward
- 6. A truss which consists of a single, equilateral triangle, is supported by a pin and roller as shown (an equilateral triangle has 3 equal, 60 degree internal angles). The truss is loaded at point B by Dudley, sitting on a feeder, weighing a total of 520 Ibs (assume the truss weight is negligible). What is the force in member AB? (Hint: Determine the horizontal reaction at A first by summing moments about C - you will need to find the perpendicular distance from C to the line of action of the force. Then use a FBD at A and equations of equilibrium to determine the force in AB). 18 ft Dudley 520 lbs PLATFORMarrow_forwardProvide complete solutionarrow_forwardanswer quicklyarrow_forward
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