Vector Mechanics for Engineers: Statics
12th Edition
ISBN: 9781259977244
Author: BEER
Publisher: MCG
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Chapter 2.4, Problem 2.76P
(a)
To determine
The
(b)
To determine
The angles
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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.
Repeat Problem 28, except using a shaft that is rotatingand transmitting a torque of 150 N * m from the left bearing to the middle of the shaft. Also, there is a profile keyseat at the middle under the load.
(I want to understand this problem)
Chapter 2 Solutions
Vector Mechanics for Engineers: Statics
Ch. 2.1 - Two forces are applied as shown to a hook....Ch. 2.1 - Two forces are applied as shown to a bracket...Ch. 2.1 - Two forces P and Q are applied as shown at point A...Ch. 2.1 - Two forces P and Q are applied as shown at point A...Ch. 2.1 - A stake is being pulled out of the ground by means...Ch. 2.1 - A telephone cable is clamped at A to the pole AB....Ch. 2.1 - A telephone cable is clamped at A to the pole AB....Ch. 2.1 - A disabled automobile is pulled by means of two...Ch. 2.1 - A disabled automobile is pulled by means of two...Ch. 2.1 - Two forces are applied as shown to a hook support....
Ch. 2.1 - A steel tank is to be positioned in an excavation....Ch. 2.1 - A steel tank is to be positioned in an excavation....Ch. 2.1 - A steel tank is to be positioned in an excavation....Ch. 2.1 - For the hook support of Prob. 2.10, determine by...Ch. 2.1 - The barge B is pulled by two tugboats A and C. At...Ch. 2.1 - Solve Prob. 2.1 by trigonometry.Ch. 2.1 - Solve Prob. 2.4 by trigonometry.Ch. 2.1 - For the stake of Prob. 2.5, knowing that the...Ch. 2.1 - Two structural members A and B are bolted to a...Ch. 2.1 - Two structural members A and B are bolted to a...Ch. 2.2 - Determine the x and y components of each of the...Ch. 2.2 - Determine the x and y components of each of die...Ch. 2.2 - Determine the x and y components of each of the...Ch. 2.2 - Determine the x and y components of each of the...Ch. 2.2 - Member BC exerts on member AC a force P directed...Ch. 2.2 - Member BD exerts on member ABC a force P directed...Ch. 2.2 - The hydraulic cylinder BC exerts cm member AB a...Ch. 2.2 - Cable AC exerts on beam AD a force P directed...Ch. 2.2 - The hydraulic cylinder BD exerts on member ABC a...Ch. 2.2 - The guy wire BD exerts on the telephone pole AC a...Ch. 2.2 - Determine the resultant of the three forces of...Ch. 2.2 - Determine the resultant of the three forces of...Ch. 2.2 - Determine the resultant of the three forces of...Ch. 2.2 - Determine the resultant of the three forces of...Ch. 2.2 - Knowing that = 35, determine the resultant of the...Ch. 2.2 - Knowing that the tension in cable BC is 725 N,...Ch. 2.2 - Knowing that = 40, determine the resultant of the...Ch. 2.2 - Knowing that = 75, determine the resultant of the...Ch. 2.2 - PROBLEM 2.39 A collar that can slide on a vertical...Ch. 2.2 - Prob. 2.40PCh. 2.2 - PROBLEM 2.41 Determine (a) the required tension in...Ch. 2.2 - PROBLEM 2.42 For the block of Problems 2.37 and...Ch. 2.3 - Two cables are tied together at C and loaded as...Ch. 2.3 - Two forces of magnitude TA = 8 kips and TB = 15...Ch. 2.3 - The 60-lb collar A can slide on a frictionless...Ch. 2.3 - A chairlift has been stopped in the position...Ch. 2.3 - Two cables are tied together at C and are loaded...Ch. 2.3 - Two cables are tied together at C and are loaded...Ch. 2.3 - Two cables are tied together at C and loaded as...Ch. 2.3 - Two cables are tied together at C and are loaded...Ch. 2.3 - Two cables are tied together at C and are loaded...Ch. 2.3 - Knowing that = 20, determine the tension (a) in...Ch. 2.3 - Two cables are tied together at C and are loaded...Ch. 2.3 - Two cables are tied together at C and are loaded...Ch. 2.3 - Two forces P and Q are applied as shown to an...Ch. 2.3 - Prob. 2.52PCh. 2.3 - A welded connection is in equilibrium under the...Ch. 2.3 - A welded connection is in equilibrium under the...Ch. 2.3 - A sailor is being rescued using a boatswains chair...Ch. 2.3 - A sailor is being rescued using a boatswains chair...Ch. 2.3 - For the cables of Prob. 2.44, find the value of ...Ch. 2.3 - For the cables of Prob. 2.46, it is known that the...Ch. 2.3 - For the situation described in Fig. P2.48,...Ch. 2.3 - Two cables tied together at C are loaded as shown....Ch. 2.3 - A movable bin and its contents have a combined...Ch. 2.3 - Free-Body Diagram...Ch. 2.3 - Collar A is connected as shown to a 50-lb load and...Ch. 2.3 - Collar A is connected as shown to a 50-lb load and...Ch. 2.3 - A cable loop of length 1.5 m is placed around a...Ch. 2.3 - A 200-kg crate is to be supported by the...Ch. 2.3 - A 600-lb crate is supported by several...Ch. 2.3 - Solve parts b and d of Prob. 2.67, assuming that...Ch. 2.3 - A load Q is applied to the pulley C, which can...Ch. 2.3 - An 1800-N load Q is applied to pulley C, which can...Ch. 2.4 - Determine (a) the x, y, and z components of the...Ch. 2.4 - Determine (a) the x, y, and z components of the...Ch. 2.4 - A gun is aimed at a point A located 35 east of...Ch. 2.4 - Solve Prob. 2.73 assuming that point A is located...Ch. 2.4 - Prob. 2.75PCh. 2.4 - Prob. 2.76PCh. 2.4 - Cable AB is 65 ft long, and the tension in that...Ch. 2.4 - PROBLEM 2.78 Cable AC is 70 ft long, and the...Ch. 2.4 - Prob. 2.79PCh. 2.4 - Determine the magnitude and direction of the force...Ch. 2.4 - Prob. 2.81PCh. 2.4 - A force acts at the origin of a coordinate system...Ch. 2.4 - A force F of magnitude 210 N acts at the origin of...Ch. 2.4 - Prob. 2.84PCh. 2.4 - Two cables BG and BH are attached to frame ACD as...Ch. 2.4 - Two cables BG and BH are attached to frame ACD as...Ch. 2.4 - In order to move a wrecked truck, two cables are...Ch. 2.4 - In order to move a wrecked truck, two cables are...Ch. 2.4 - A rectangular plate is supported by three cables...Ch. 2.4 - A rectangular plate is supported by three cables...Ch. 2.4 - Find the magnitude and direction of the resultant...Ch. 2.4 - Find the magnitude and direction of the resultant...Ch. 2.4 - Knowing that the tension is 425 lb in cable AB and...Ch. 2.4 - Knowing that the tension is 510 lb in cable AB and...Ch. 2.4 - For the frame of Prob. 2.85, determine the...Ch. 2.4 - For the plate of Prob. 2.89; determine the...Ch. 2.4 - The boom OA carries a load P and is supported by...Ch. 2.4 - Prob. 2.98PCh. 2.5 - Three cables are used to tether a balloon as...Ch. 2.5 - A container of mass m = 120 kg is supported by...Ch. 2.5 - A 150-lb cylinder is supported by two cables AC...Ch. 2.5 - A transmission tower is held by three guy wires...Ch. 2.5 - A container is supported by three cables that are...Ch. 2.5 - A container is supported by three cables that are...Ch. 2.5 - Three cables are used to tether a balloon as...Ch. 2.5 - Three cables are used to tether a balloon as...Ch. 2.5 - A crate is supported by three cables as shown....Ch. 2.5 - A crate is supported by three cables as shown....Ch. 2.5 - A 12-lb circular plate of 7-in. radius is...Ch. 2.5 - Prob. 2.106PCh. 2.5 - Three cables are connected at A, where the forces...Ch. 2.5 - Fig. P2.107 and P2.108 2.108 Three cables are...Ch. 2.5 - A rectangular plate is supported by three cables...Ch. 2.5 - A rectangular plate is supported by three cables...Ch. 2.5 - A transmission tower is held by three guy wires...Ch. 2.5 - A transmission tower is held by three guy wires...Ch. 2.5 - In trying to move across a slippery icy surface, a...Ch. 2.5 - Fig. P2.113 2.114 Solve Prob. 2.113 assuming that...Ch. 2.5 - For the rectangular plate of Probs. 2.109 and...Ch. 2.5 - PROBLEM 2.116 For the cable system of Problems...Ch. 2.5 - PROBLEM 2.117 For the cable system of Problems...Ch. 2.5 - Three cables are connected at D, where an upward...Ch. 2.5 - Prob. 2.119PCh. 2.5 - Three wires are connected at point D, which is...Ch. 2.5 - A container of weight W is suspended from ring A,...Ch. 2.5 - Knowing that the tension in cable AC of the system...Ch. 2.5 - A container of weight W is suspended from ring A....Ch. 2.5 - For the system of Prob. 2.123, determine W and P...Ch. 2.5 - Fig. P2.113 2.114 Solve Prob. 2.113 assuming that...Ch. 2.5 - Prob. 2.126PCh. 2 - Two forces P and Q are applied to the lid of a...Ch. 2 - Determine the x and y components of each of the...Ch. 2 - A hoist trolley is subjected to the three forces...Ch. 2 - Knowing that = 55 and that boom AC exerts on pin...Ch. 2 - Two cables are tied together at C and loaded as...Ch. 2 - Two cables tied together at C are loaded as shown....Ch. 2 - The end of the coaxial cable AE is attached to the...Ch. 2 - Knowing that the tension in cable AC is 2130 N,...Ch. 2 - Find the magnitude and direction of the resultant...Ch. 2 - Cable BAC passes through a frictionless ring A and...Ch. 2 - Collars A and B are connected by a 25-in.-lang...Ch. 2 - Fig. P2.137 and P2.138 2.138 Collars A and B are...
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