Vector Mechanics for Engineers: Statics
12th Edition
ISBN: 9781259977268
Author: Ferdinand P. Beer, E. Russell Johnston Jr., David Mazurek
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 6.3, Problem 6.109P
6.109 and 6.110 Neglecting the effect of friction at the horizontal and vertical surfaces, determine the forces exerted at B and C on member BCE.
Fig. P6.109
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Exercises
Find the solution of the following Differential Equations
1) y" + y = 3x²
3)
"+2y+3y=27x
5) y"+y=6sin(x)
7) y"+4y+4y = 18 cosh(x)
9) (4)-5y"+4y = 10 cos(x)
11) y"+y=x²+x
13) y"-2y+y=e*
15) y+2y"-y'-2y=1-4x³
2) y"+2y' + y = x²
4) "+y=-30 sin(4x)
6) y"+4y+3y=sin(x)+2 cos(x)
8) y"-2y+2y= 2e* cos(x)
10) y+y-2y=3e*
12) y"-y=e*
14) y"+y+y=x+4x³ +12x²
16) y"-2y+2y=2e* cos(x)
The state of stress at a point is σ = -4.00 kpsi, σy = 16.00 kpsi, σ = -14.00 kpsi, Try = 11.00 kpsi,
Tyz = 8.000 kpsi, and T = -14.00 kpsi.
Determine the principal stresses.
The principal normal stress σ₁ is determined to be [
The principal normal stress σ2 is determined to be [
The principal normal stress σ3 is determined to be
kpsi.
kpsi.
The principal shear stress 71/2 is determined to be [
The principal shear stress 7½ is determined to be [
The principal shear stress T₁/, is determined to be [
kpsi.
kpsi.
kpsi.
kpsi.
Chapter 6 Solutions
Vector Mechanics for Engineers: Statics
Ch. 6.1 - Using the method of joints, determine the force in...Ch. 6.1 - Using the method of joints, determine the force in...Ch. 6.1 - Using the method of joints, determine the force in...Ch. 6.1 - Using the method of joints, determine the force in...Ch. 6.1 - Using the method of joints, determine the force in...Ch. 6.1 - Using the method of joints, determine the force in...Ch. 6.1 - Using the method of joints, determine the force in...Ch. 6.1 - Using the method of joints, determine the force in...Ch. 6.1 - Using the method of joints, determine the force in...Ch. 6.1 - Determine the force in each member of the truss...
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 - Prob. 6.14PCh. 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 - Solve Problem 6.19 assuming that the load applied...Ch. 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 - Determine whether the trusses of Problems 6.31a,...Ch. 6.1 - Determine whether the trusses of Problems 6.31b,...Ch. 6.1 - For the given loading, determine the zero-force...Ch. 6.1 - For the given loading, determine the zero-force...Ch. 6.1 - For the given loading, determine the zero-force...Ch. 6.1 - Determine the zero-force members in the truss of...Ch. 6.1 - The truss shown consists of six members and is...Ch. 6.1 - The truss shown consists of six members and is...Ch. 6.1 - The truss shown consists of six members and is...Ch. 6.1 - Prob. 6.38PCh. 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 - Determine the force in members BD and DE of the...Ch. 6.2 - Determine the force in members DG and EG of the...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 - A floor truss is loaded as shown. Determine the...Ch. 6.2 - A floor truss is loaded as shown. Determine the...Ch. 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 - Determine the force in members EG and EF of the...Ch. 6.2 - Determine the force in members DF and DE of the...Ch. 6.2 - Determine the force in members CD and CE of the...Ch. 6.2 - A Pratt roof truss is loaded as shown. Determine...Ch. 6.2 - A Pratt roof truss is loaded as shown. Determine...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 - Determine the force in member GJ of the truss...Ch. 6.2 - Determine the force in members DG and FH of the...Ch. 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 - The diagonal members in the center panels of the...Ch. 6.2 - Solve Prob. 6.67 assuming that the 9-kip load has...Ch. 6.2 - Classify each of the structures shown as...Ch. 6.2 - Classify each of the structures shown as...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. 6.2 - 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 - and 6.76 Determine the force in member BD and the...Ch. 6.3 - Prob. 6.76PCh. 6.3 - For the frame and loading shown, determine the...Ch. 6.3 - Determine the components of all forces acting on...Ch. 6.3 - The hydraulic cylinder CF, which partially...Ch. 6.3 - The hydraulic cylinder CF, which partially...Ch. 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 - Determine the components of the reactions at A and...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 - A trailer weighing 2400 lb is attached to a...Ch. 6.3 - In order to obtain a better weight distribution...Ch. 6.3 - The cab and motor units of the front-end loader...Ch. 6.3 - Solve Problem 6.97 assuming that the 75-kN load...Ch. 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 - Prob. 6.104PCh. 6.3 - For the frame and loading shown, determine the...Ch. 6.3 - Solve Prob. 6.105 assuming that the 6-kN load has...Ch. 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 - 6.109 and 6.110 Neglecting the effect of friction...Ch. 6.3 - and 6.110 Neglecting the effect of friction at the...Ch. 6.3 - 6.111, 6.112, and 6.113 Members ABC and CDE are...Ch. 6.3 - 6.111, 6.112, and 6.113 Members ABC and CDE are...Ch. 6.3 - 6.111, 6.112, and 6.113 Members ABC and CDE are...Ch. 6.3 - Members ABC and CDE are pin-connected at C and...Ch. 6.3 - Solve Prob. 6.112 assuming that the force P is...Ch. 6.3 - Solve Prob. 6.114 assuming that the force P is...Ch. 6.3 - Four beams, each with a length of 2a, are nailed...Ch. 6.3 - Four beams, each with a length of 3a, are held...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. 6.3 - 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 - A small barrel weighing 60 lb is lifted by a pair...Ch. 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 - The pin at B is attached to member ABC and can...Ch. 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 - Solve Prob. 6.133 when (a) = 60, (b) = 90. Fig....Ch. 6.4 - and 6.136 Two rods are connected by a slider block...Ch. 6.4 - and 6.136 Two rods are connected by a slider block...Ch. 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 - Two hydraulic cylinders control the position of...Ch. 6.4 - A steel ingot weighing 8000 lb is lifted by a pair...Ch. 6.4 - If the toggle shown is added to the tongs of Prob....Ch. 6.4 - A 9-m length of railroad rail of mass 40 kg/m is...Ch. 6.4 - The gear-pulling assembly shown consists of a...Ch. 6.4 - The pliers shown are used to grip a...Ch. 6.4 - Prob. 6.146PCh. 6.4 - In using the bolt cutter shown, a worker applies...Ch. 6.4 - The upper blade and lower handle of the...Ch. 6.4 - and 6.150 Determine the force P that must be...Ch. 6.4 - and 6.150 Determine the force P that must be...Ch. 6.4 - Because the brace shown must remain in position...Ch. 6.4 - The specialized plumbing wrench shown is used in...Ch. 6.4 - Prob. 6.153PCh. 6.4 - For the frame and loading shown, determine the...Ch. 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 - Solve Prob. 6.157 assuming that the 2-kip force P...Ch. 6.4 - The gears A and D are rigidly attached to...Ch. 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 - Determine the components of the reactions at A and...Ch. 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 - The compound-lever pruning shears shown can be...
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