Statics and Mechanics of Materials
2nd Edition
ISBN: 9780073398167
Author: Ferdinand P. Beer, E. Russell Johnston Jr., John T. DeWolf, David Mazurek
Publisher: McGraw-Hill Education
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Chapter 4.1, Problem 8P
To determine
The range of values of
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The axis of the three-hinge arch ABC is a parabola with vertex at B . Knowing that P= 112 kN and Q = 140 kN, determine (a) the components of the reaction at A, (b) the components of the force exerted at B on segment AB.
The axis of the three-hinge arch ABC is a parabola with vertex at B.Knowing that P= 112 kN and Q =140 kN, determine (a) the components of the reaction at A, (b) the components of the force exerted at B on segment AB.
A 14 ft long beam ABC supports a frictionless pulley with 12 in radius at point B, located 10 ft from the left end. The cable DC supports 150 lb weight W as shown. Determine and direction of the reaction at the roller at C. Determine the magnitude and direction of the reaction at pin A.
Chapter 4 Solutions
Statics and Mechanics of Materials
Ch. 4.1 - For the beam and loading shown, determine (a) the...Ch. 4.1 - A 3200-lb forklift truck is used to lift a 1700-lb...Ch. 4.1 - A gardener uses a wheelbarrow to transport a 250-N...Ch. 4.1 - A load of lumber of weight W=25 kN is being raised...Ch. 4.1 - Three loads are applied as shown to a light beam...Ch. 4.1 - Three loads are applied as shown to a light beam...Ch. 4.1 - For the beam and loading shown, determine the...Ch. 4.1 - Prob. 8PCh. 4.1 - Prob. 9PCh. 4.1 - The lever BCD is hinged at C and attached to a...
Ch. 4.1 - The lever BCD is hinged at C and attached to a...Ch. 4.1 - A lever AB is hinged at C and attached to a...Ch. 4.1 - Determine the reactions at A and B when...Ch. 4.1 - Prob. 14PCh. 4.1 - Prob. 15PCh. 4.1 - Prob. 16PCh. 4.1 - A light bar AD is suspended from a cable BE and...Ch. 4.1 - Prob. 18PCh. 4.1 - Prob. 19PCh. 4.1 - Two slots have been cut in plate DEF, and the...Ch. 4.1 - A 6-m telephone pole weighing 1600 N is used to...Ch. 4.1 - Prob. 22PCh. 4.1 - For the and crate of Prob. 4.22 and assuming that...Ch. 4.1 - A tension of 20 N is maintained in a tape as it...Ch. 4.1 - The bracket ABC can be supported in the eight...Ch. 4.1 - Eight identical 500750-mm rectangular plates, each...Ch. 4.2 - Determine the reactions at B and C when a=30mm.Ch. 4.2 - Prob. 28PCh. 4.2 - A 12-ft wooden beam weighing 80 lb is supported by...Ch. 4.2 - Prob. 30PCh. 4.2 - One end of rod AB rests in the comer A and the...Ch. 4.2 - Using the method of Sec. 4.2B, solve Prob. 4.12.Ch. 4.2 - Prob. 33PCh. 4.2 - A 40-lb roller of 8-in. diameter, which is to be...Ch. 4.2 - Member ABC is supported by a pin and bracket at B...Ch. 4.2 - Prob. 36PCh. 4.2 - Prob. 37PCh. 4.2 - For the frame and loading shown, detennine the...Ch. 4.2 - For the boom and loading shown, determine (a) the...Ch. 4.2 - A slender rod BC of length L and weight W is held...Ch. 4.2 - Prob. 41PCh. 4.2 - Prob. 42PCh. 4.2 - Prob. 43PCh. 4.2 - Prob. 44PCh. 4.2 - Solve Prob. 4.44, assuming that the 170-N force...Ch. 4.2 - Prob. 46PCh. 4.2 - Prob. 47PCh. 4.2 - Prob. 48PCh. 4.2 - Prob. 49PCh. 4.2 - Prob. 50PCh. 4.3 - Two transmission belts pass over a double-sheaved...Ch. 4.3 - Solve Prob. 4.51, assuming that the pulley rotates...Ch. 4.3 - A 48-ft sheet of plywood weighing 40 lb has been...Ch. 4.3 - Prob. 54PCh. 4.3 - Prob. 55PCh. 4.3 - Prob. 56PCh. 4.3 - Prob. 57PCh. 4.3 - Prob. 58PCh. 4.3 - Prob. 59PCh. 4.3 - Prob. 60PCh. 4.3 - A 48-in. boom is held by a ball-and-socket joint...Ch. 4.3 - Prob. 62PCh. 4.3 - The 6-m pole ABC is acted upon by a 455-N force as...Ch. 4.3 - A 600-lb crate hangs from a cable that passes over...Ch. 4.3 - The horizontal platform ABCD weighs 60 lb and...Ch. 4.3 - Prob. 66PCh. 4.3 - Prob. 67PCh. 4.3 - Prob. 68PCh. 4.3 - A 10-kg storm window measuring 9001500 mm is held...Ch. 4.3 - Prob. 70PCh. 4.3 - Prob. 71PCh. 4.3 - Solve Prob. 4.69, assuming that the hinge at A has...Ch. 4.3 - Prob. 73PCh. 4.3 - Three rods are welded together to form a corner...Ch. 4.4 - Determine whether the block shown is in...Ch. 4.4 - Prob. 76PCh. 4.4 - Determine whether the block shown is in...Ch. 4.4 - Prob. 78PCh. 4.4 - Prob. 79PCh. 4.4 - Prob. 80PCh. 4.4 - Prob. 81PCh. 4.4 - Prob. 82PCh. 4.4 - Prob. 83PCh. 4.4 - Knowing that P=100N, determine the range of values...Ch. 4.4 - A 120-lb cabinet is mounted on casters that can be...Ch. 4.4 - Prob. 86PCh. 4.4 - A 40-kg packing crate must be moved to the left...Ch. 4.4 - A 40-kg packing crate is pulled by a rope as...Ch. 4.4 - Prob. 89PCh. 4.4 - Prob. 90PCh. 4.4 - Prob. 91PCh. 4.4 - Prob. 92PCh. 4.4 - Prob. 93PCh. 4.4 - Prob. 94PCh. 4.4 - Prob. 95PCh. 4.4 - Prob. 96PCh. 4.4 - The cylinder shown is of weight W and radius r,...Ch. 4.4 - Prob. 98PCh. 4 - A T-shaped bracket supports the four loads shown....Ch. 4 - Neglecting friction and the radius of the pulley,...Ch. 4 - Member ABC is supported by a pin and bracket at B...Ch. 4 - Prob. 102RPCh. 4 - Prob. 103RPCh. 4 - Prob. 104RPCh. 4 - Prob. 105RPCh. 4 - Prob. 106RPCh. 4 - Prob. 107RPCh. 4 - Prob. 108RPCh. 4 - Prob. 109RPCh. 4 - Two 10-lb blocks A and B are connected by a...
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- Two 9-in.-diameter pipes (pipe 1 and pipe 2) are supported every 7.5 ft by a small frame like that shown. Knowing that the combined weight of each pipe and its contents is 30 lb/ft and assuming frictionless surfaces, determine the components of the reactions at A and G.arrow_forwardA force P of magnitude 90 lb is applied to member ACDE that is supported by a frictionless pin at D and by the cable ABE . Since the cable passes over a small pulley at B , the tension may be assumed to be the same in portions AB and BE of the cable. For the case when a= 3 in., determine (a) the tension in the cable, (b) the reaction at D.arrow_forwardFor each of the plates and loadings shown, determine the reactions at A and Barrow_forward
- A 12-m pole supports a horizontal cable CD and is held by a ball and socket at A and two cables BE and BF . Knowing that the tension in cable CD is 14 kN and assuming that CD is parallel to the xaxis (?= 0), draw the free-body diagram needed to determine the tension in cables BE and BF and the reaction at A.arrow_forwardThe press shown is used to emboss a small seal at E. Knowing that the vertical component of the force exerted on the seal must be 900 N, determine (a) the required vertical force P,(b) the corresponding reaction at A.arrow_forwardTwo transmission belts pass over a double-sheaved pulley that is attached to an axle supported by bearings at A and D . The radius of the inner sheave is 125 mm and the radius of the outer sheave is 250 mm. Knowing that when the system is at rest, the tension is 90 N in both portions of belt B and 150 N in both portions of belt C , determine the reactions at A and D . Assume that the bearing at D does not exert any axial thrust.arrow_forward
- A steam pipe weighing 45 lb/ft that passes between two buildings 40 ft apart is supported by a system of cables as shown. Assuming that the weight of the cable system is equivalent to a uniformly distributed loading of 5 lb/ft, determine (a) the location of the lowest point C of the cable, (b) the maximum tension in the cable.arrow_forwardRod ABC is bent in the shape of an arc of circle of radius R . Knowing that 0= 60°, determine the reaction (a) at B, (b) at C.arrow_forwardA movable bracket is held at rest by a cable attached at C and by frictionless rollers at A and B. For the loading shown, determine(a) the tension in the cable, (b) the reactions at A and B.arrow_forward
- Cable ACB supports a load uniformly distributed along the horizontal as shown. The lowest point C is located 9 m to the right of A . Determine (a) the vertical distance a,(b) the length of the cable, (c) the components of the reaction at A.arrow_forwardThe cab and motor units of the front-end loader shown are connected by a vertical pin located 2 m behind the cab wheels. The distance from C to D is 1 m. The center of gravity of the 300-kN motor unit is located at Gm , while the centers of gravity of the 100-kN cab and 75-kN load are located, respectively, at Gc and GI. . Knowing that the machine is at rest with its brakes released, determine (a) the reactions at each of the four wheels, (b) the forces exerted on the motor unit at C and D.arrow_forwardThe T-shaped bracket shown is supported by a small wheel at E and pegs at C and D . Neglecting the effect of friction, determine (a) the smallest value of 0 for which the equilibrium of the bracket is maintained, (b) the corresponding reactions at C, D, and E.arrow_forward
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