Statics and Mechanics of Materials (5th Edition)
5th Edition
ISBN: 9780134382593
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 9.2, Problem 22P
To determine
Find the largest intensity of distributed load w and its length x on the beam..
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The rigid beam is supported at its ends by two A-36 steel tie rods. The rods have diameters dAB = 0.5 in. and dCD = 0.3 in. If the allowable stress for the steel is sallow = 16.2 ksi, determine the largest intensity of the distributed load w and its length x on the beam so that the beam remains in the horizontal position when it is loaded.
The rigid beam is supported at its ends by two A-36 steel tie rods. If the allowable stress for the steel is sallow = 16.2 ksi, the load w = 3 kip>ft, and x = 4 ft, determine the smallest diameter of each rod so that the beam remainsin the horizontal position when it is loaded.
If the beam is made from a material having an allowable tensile and compressive stress of
(Callow), = 125 MPa and (Callow)c = 150 MPa, respectively,
determine the maximum allowable internal moment M that can be applied to the beam.
Chapter 9 Solutions
Statics and Mechanics of Materials (5th Edition)
Ch. 9.2 - In each case, determine the internal normal force...Ch. 9.2 - Determine the internal normal force between...Ch. 9.2 - The post weighs 8 kN/m. Determine the internal...Ch. 9.2 - The rod is subjected to an external axial force of...Ch. 9.2 - The rigid beam supports the load of 60 kN....Ch. 9.2 - The 20-mm-diameter A-36 steel rod is subjected to...Ch. 9.2 - Prob. 2FPCh. 9.2 - The 30-mm-diameter A992 steel rod is subjected to...Ch. 9.2 - Prob. 4FPCh. 9.2 - Prob. 5FP
Ch. 9.2 - The 20-mm-diameter 2014-T6 aluminum rod is...Ch. 9.2 - The A992 steel rod is subjected to the loading...Ch. 9.2 - The copper shaft is subjected to the axial loads...Ch. 9.2 - The composite shaft, consisting of aluminum,...Ch. 9.2 - The composite shaft, consisting of aluminum,...Ch. 9.2 - The 2014-T6 aluminum rod has a diameter of 30 mm...Ch. 9.2 - The A-36 steel drill shaft of an oil well extends...Ch. 9.2 - The truss is made of three A-36 steel members,...Ch. 9.2 - The truss is made of three A-36 steel members,...Ch. 9.2 - The assembly consists of two 10-mm diameter red...Ch. 9.2 - The assembly consists of two 10-mm diameter red...Ch. 9.2 - The load is supported by the four 304 stainless...Ch. 9.2 - The load is supported by the four 304 stainless...Ch. 9.2 - The rigid bur is supported by the pin-connected...Ch. 9.2 - The post is made of Douglas fir and has a diameter...Ch. 9.2 - The post is made of Douglas fir and has a diameter...Ch. 9.2 - The coupling rod is subjected to a force of 5 kip....Ch. 9.2 - Prob. 17PCh. 9.2 - The linkage is made of three pin-connected A992...Ch. 9.2 - The linkage is made of three pin-connected A992...Ch. 9.2 - The assembly consists of three titanium...Ch. 9.2 - The rigid beam is supported at its ends by two...Ch. 9.2 - Prob. 22PCh. 9.2 - The steel bar has the original dimensions shown in...Ch. 9.2 - Determine the relative displacement of one end of...Ch. 9.2 - Prob. 25PCh. 9.2 - The truss consists of three members, each made...Ch. 9.2 - Prob. 27PCh. 9.2 - The observation cage C has a weight of 250 kip and...Ch. 9.2 - Determine the elongation of the aluminum strap...Ch. 9.2 - The ball is truncated at its ends and is used to...Ch. 9.5 - The column is constructed from high-strength...Ch. 9.5 - The column is constructed from high-strength...Ch. 9.5 - The A-36 steel pipe has a 6061-T6 aluminum core....Ch. 9.5 - If column AB is made from high strength precast...Ch. 9.5 - If column AB is made from high strength precast...Ch. 9.5 - Determine the support reactions at the rigid...Ch. 9.5 - If the supports at A and C are flexible and have a...Ch. 9.5 - The load of 2000 lb is to be supported by the two...Ch. 9.5 - The load of 2000 lb is to be supported by the two...Ch. 9.5 - The A-36 steel pipe has an outer radius of 20 mm...Ch. 9.5 - The 10-mm-diameter steel bolt is surrounded by a...Ch. 9.5 - The 10-mm-diametcr steel bolt is surrounded by a...Ch. 9.5 - The assembly consists of two red brass C83400...Ch. 9.5 - The rigid beam is supported by the three suspender...Ch. 9.5 - Prob. 45PCh. 9.5 - If the gap between C and the rigid wall at D is...Ch. 9.5 - The support consists of a solid red brass C83400...Ch. 9.5 - The specimen represents a filament-reinforced...Ch. 9.5 - The rigid bar is pinned at A and supported by two...Ch. 9.5 - The rigid bar is pinned at A and supported by two...Ch. 9.5 - The rigid bar is pinned at A and supported by two...Ch. 9.5 - The rigid bar is pinned at A and supported by two...Ch. 9.5 - The 2014-T6 aluminum rod AC is reinforced with the...Ch. 9.5 - The 2014-T6 aluminum rod AC is reinforced with the...Ch. 9.5 - The three suspender bars are made of A992 steel...Ch. 9.6 - The C83400-red-brass rod AB and 2014-T6-aluminum...Ch. 9.6 - The assembly has the diameters and material...Ch. 9.6 - The rod is made of A992 steel and has a diameter...Ch. 9.6 - The two cylindrical rod segments are fixed to the...Ch. 9.6 - The two cylindrical rod segments are fixed to the...Ch. 9.6 - Prob. 61PCh. 9.6 - The bronze C86100 pipe has an inner radius of 0.5...Ch. 9.6 - The 40-ft-long A-36 steel rails on a train track...Ch. 9.6 - The device is used to measure a change in...Ch. 9.6 - Prob. 65PCh. 9.6 - Prob. 66PCh. 9.6 - Prob. 67PCh. 9.6 - When the temperature is at 30C, the A-36 steel...Ch. 9.6 - The 50-mm-diameter cylinder is made from Am...Ch. 9.6 - The 50-mm-diametcr cylinder is made from Am...Ch. 9.6 - Prob. 71PCh. 9.6 - The cylinder CD of the assembly is heated from T1...Ch. 9.6 - The cylinder CD of the assembly is heated from T1...Ch. 9.6 - Prob. 74PCh. 9 - The assembly consists of two A992 steel bolts AB...Ch. 9 - The assembly shown consists of two A992 steel...Ch. 9 - The rods each have the same 25-mm diameter and...Ch. 9 - Two A992 steel pipes, each having a...Ch. 9 - The 2014-T6 aluminum rod has a diameter of 0.5 in....Ch. 9 - The 2014-T6 aluminum rod has a diameter of 0.5 in....Ch. 9 - The rigid link is supported by a pin at A and two...Ch. 9 - The joint is made from three A992 steel plates...
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- The simply supported beam is built up from three boards by nailing them together as A, В shown. Determine the L1 L2 maximum allowable bf spacing s of the nails to support that load, if each nail can resist a tf tw shear force of V kN. hw tf P=17KN V=2kN L1=3.1m L2=2.5m bf=120mm tf=20mm hw=270mm tw=15mmarrow_forwardThe man has a mass of 100 kg and center of mass at G. If he holds himself in the position shown, determine the maximum tensile and compressive stress developed in the curved bar at section a–a. He is supported uniformly by twobars, each having a diameter of 25 mm. Assume the floor is smooth. Use the curved-beam formula to calculate the bending stress.arrow_forwardIf a = 3 in. and the wood has an allowable normal stress of sallow = 1.5 ksi, and an allowable shear stress of tallow = 150 psi, determine the maximum allowable value of P that can act on the beam.arrow_forward
- The Douglas Fir beam is reinforced with A-992 steel straps at its sides. Determine the maximum stress in the wood and steel if the beam is subjected to a moment of Mz = 80 kN # m. Sketch the stress distribution acting over the cross section.arrow_forwardThe Douglas Fir beam is reinforced with A-36 steel straps at its sides. Determine the maximum stress in the wood and steel if the beam is subjected to a bending moment of Mz = 4 kN # m. Sketch the stress distribution acting over the cross section.arrow_forward12-15. Determine the shear stress at points C and D located on the web af the beam. so kNim -L8 m- -1.8 m- 150 mm 25 mm Цо mm 100 mm 18 mm 25 mm Probs. 12-15/16arrow_forward
- Determine the minimum dimension b to the nearest mm of the beam’s cross section to safely support the load. The wood has an allowable normal stress of sallow = 12 MPa and an allowable shear stress of tallow = 1.5 MPa.arrow_forward*11-64. The pin is used to connect the three links together. Due to wear, the load is distributed over the top and bottom of the pin as shown on the free-body diagram. If the diameter of the pin is 10 mm, determine the maximum bending stress on the cross-sectional area at the center section a-a. For the solution it is first necessary to determine the kad intensities wi and w 00N 25 m Domm 40 mm 18IN 1800Narrow_forwardF7-2 P7-3 Determine the absolute maximum shear stress developed in the beam. 3kip 61h. F-3arrow_forward
- A 2500 lbs point load is placed at 4 inches from support A. The beam is simply supported with a span of 16 inches. Determine the maximum flexural stress of the beam.arrow_forward11-58 The beam is subjected to a moment M. Determine the percentage of this moment that is resisted by the stresses acting on both the top and bottom boards of the beam. -90 mm 0 mm 20 mm 20 mm 20 mm 20 mm 100 mm 100 mm 20 mmarrow_forward7-1. The shaft is supported by a smooth thrust bearing at B and a journal bearing at C. Determine the resultant internal loadings acting on the cross section at E. 1800 N 3600 Narrow_forward
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