Mechanics of Materials (10th Edition)
10th Edition
ISBN: 9780134319650
Author: Russell C. Hibbeler
Publisher: PEARSON
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Textbook Question
Chapter 7.3, Problem 7.38P
The beam is constructed from three boards. Determine the maximum loads P that it can support if the allowable shear stress for the wood is τallow = 400 psi. What is the maximum allowable spacing s of the nails used to hold the top and bottom flanges to the web if each nail can resist a shear force of 400 lb?
Prob. 7–38
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The double-web girder is constructed from two plywood sheets that are secured to wood members at its top and bottom. The allowable bending stress for the wood is σallow = 8 ksi and the allowable shear stress is τallow = 3 ksi. The fasteners are spaced s = 6 in. and each fastener can support 400 lb in single shear.
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Chapter 7 Solutions
Mechanics of Materials (10th Edition)
Ch. 7.2 - In each case, calculate the value of Q and t that...Ch. 7.2 - If the beam is subjected to a shear force of V =...Ch. 7.2 - Determine the shear stress at points A and B if...Ch. 7.2 - Determine the absolute maximum shear stress in the...Ch. 7.2 - If the beam is subjected to a shear force of V =20...Ch. 7.2 - If the beam is made from four plates and subjected...Ch. 7.2 - If the wide-flange beam is subjected to a shear of...Ch. 7.2 - If the wide-flange beam is subjected to a shear of...Ch. 7.2 - If the wide-flange beam is subjected to a shear of...Ch. 7.2 - If the beam is subjected to a shear of V = 30 kN,...
Ch. 7.2 - If the wide-flange beam is subjected to a shear of...Ch. 7.2 - The wood beam has an allowable shear stress of...Ch. 7.2 - The shaft is supported by a thrust bearing at A...Ch. 7.2 - The shaft is supported by a thrust bearing at A...Ch. 7.2 - Determine the largest shear force V that the...Ch. 7.2 - If the applied shear force V = 18 kip, determine...Ch. 7.2 - The overhang beam is subjected to the uniform...Ch. 7.2 - The beam is made from a polymer and is subjected...Ch. 7.2 - Determine the maximum shear stress in the strut if...Ch. 7.2 - Determine the maximum shear force V that the strut...Ch. 7.2 - Sketch the intensity of the shear-stress...Ch. 7.2 - Plot the shear-stress distribution over the cross...Ch. 7.2 - If the beam is subjected to a shear of V=15 kN,...Ch. 7.2 - If the wide-flange beam is subjected to a shear of...Ch. 7.2 - If the wide-flange beam is subjected to a shear of...Ch. 7.2 - Determine the length of the cantilevered beam so...Ch. 7.2 - If the beam is made from wood having an allowable...Ch. 7.2 - Determine the largest intensity w of the...Ch. 7.2 - If w=800 lb/ft, determine the absolute maximum...Ch. 7.2 - Determine the shear stress at point B on the web...Ch. 7.2 - Determine the maximum shear stress acting at...Ch. 7.2 - Railroad ties must be designed to resist large...Ch. 7.2 - The beam is slit longitudinally along both sides....Ch. 7.2 - The beam is to be cut longitudinally along both...Ch. 7.2 - The composite beam is constructed from wood and...Ch. 7.2 - The beam has a rectangular cross section and is...Ch. 7.2 - The beam in Fig.6-48f is subjected to a fully...Ch. 7.3 - The two identical boards are bolted together to...Ch. 7.3 - Two identical 20-mm-thick plates are bolted to the...Ch. 7.3 - The boards are bolted together to form the...Ch. 7.3 - The boards are bolted together to form the...Ch. 7.3 - The beam is constructed from two boards fastened...Ch. 7.3 - The beam is constructed from two boards fastened...Ch. 7.3 - The beam is constructed from three boards. If it...Ch. 7.3 - The beam is constructed from three boards....Ch. 7.3 - The double T-beam is fabricated by welding the...Ch. 7.3 - The double T-beam is fabricated by welding the...Ch. 7.3 - The beam is constructed from three boards....Ch. 7.3 - A beam is constructed from three boards bolted...Ch. 7.3 - The simply supported beam is built up from three...Ch. 7.3 - The simply supported beam is built up from three...Ch. 7.3 - The T-beam is constructed as shown. If each nail...Ch. 7.3 - The box beam is constructed from four boards that...Ch. 7.3 - The box beam is constructed from four boards that...Ch. 7.3 - The member consists of two plastic channel strips...Ch. 7.3 - The member consists of two plastic channel strips...Ch. 7.3 - The beam is made from four boards nailed together...Ch. 7.3 - The beam is made from three polystyrene strips...Ch. 7.5 - A shear force of V=300 kN is applied to the box...Ch. 7.5 - A shear force of V=450 kN is applied to the box...Ch. 7.5 - A shear force of V = 18 kN is applied to the box...Ch. 7.5 - A shear force of V = 18 kN is applied to the box...Ch. 7.5 - The aluminum strut is 10 mm thick and has the...Ch. 7.5 - The aluminum strut is 10 mm thick and has the...Ch. 7.5 - The beam is subjected to a shear force of V=50...Ch. 7.5 - The beam is subjected to a shear force of V=50...Ch. 7.5 - The H-beam is subjected to a shear of V=80 kN...Ch. 7.5 - The H-beam is subjected to a shear of V=80 kN...Ch. 7.5 - The built-up beam is formed by welding together...Ch. 7.5 - The assembly is subjected to a vertical shear of V...Ch. 7.5 - The box girder is subjected to a shear of V=15 kN....Ch. 7.5 - Determine the location e of the shear center,...Ch. 7.5 - Determine the location e of the shear center,...Ch. 7.5 - The beam supports a vertical shear of V=7 kip....Ch. 7.5 - The stiffened beam is constructed from plates...Ch. 7.5 - The pipe is subjected to a shear force of V=8 kip....Ch. 7.5 - Determine the location e of the shear center,...Ch. 7.5 - A thin plate of thickness t is bent to form the...Ch. 7.5 - Determine the location e of the shear center,...Ch. 7 - The beam is fabricated from four boards nailed...Ch. 7 - The T-beam is subjected to a shear of V = 150 kN....Ch. 7 - The member is subject to a shear force of V = 2...Ch. 7 - Determine the shear stress at points B and C on...Ch. 7 - Determine the maximum shear stress acting at...
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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_forwardDetermine the average shear stress developed in the nails within region AB of the beam. The nails are located on each side of the beam and are space 100 mm apart. Each nail has a diameter of 4 mm. Take P = 2kN. = Hint: Think carefully about the number of nails transferring shear stress from board-to-board. 2 kN/m A B -1.5 m 1.5 m 100 mm + 20 mm 40 mm 200 mm 20 mm 200 mmarrow_forwardThe box beam is constructed from four boards that are fastened together using nails spaced along the beam every 2 in. If a force P = 2 kip is applied to the beam, determine the shear force resisted by each nail at A and B.arrow_forward
- The double T-beam is fabricated by welding the three plates together as shown. If the weld can resist a shear stress tallow = 90 MPa, determine the maximum shear V that can be applied to the beam.arrow_forwardTwo identical 20-mm-thick plates are bolted to the top and bottom flange to form the built-up beam. If the beam is subjected to a shear force of V = 300 kN, determine the maximum spacing s of the bolts to the nearest mm if eachbolt has a shear strength of 30 kN.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
- Rigid beam AB is supported by three bolts at A and a pin at B. The bolts at A are in double shear and have a diameter of 0.375 in. Assume L = 6.5 ft. If the average shear stress in the bolts cannot exceed 60 ksi, determine the maximum distributed load Wmax that can be supported by the structure. F₁ Answer: Wmax= i L kips/ftarrow_forwardThe 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 0.40 in., 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 load intensities w1 and w2.arrow_forwardDetermine the required diameter of the pins at A and B if the allowable shear stress for the material is tallow = 100 MPa. Both pins are subjected to double shear.arrow_forward
- Determine the shear stress (in Mpa) in the 28.54-mm-diameter pin at B that support the beam if P = 35.79 kN, a = 2.76 m, and b = 5.95 m.arrow_forwardRigid beam AB is supported by three bolts at A and a pin at B. The bolts at A are in double shear and have a diameter of 0.375 in. Assume L = 3.0 ft. If the average shear stress in the bolts cannot exceed 65 ksi, determine the maximum distributed load wmax that can be supported by the structure. F₁ W kips/ft (1) Answer: Wmax = i Larrow_forwardThe beam is constructed from three plastic strips. If the glue can support a shear stress of tallow = 8 kPa, determine the largest magnitude of the loads P that the beam can support.arrow_forward
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