Statics and Mechanics of Materials, Student Value Edition (5th Edition)
5th Edition
ISBN: 9780134382890
Author: Russell C. Hibbeler
Publisher: PEARSON
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Textbook Question
Chapter 15.2, Problem 16P
If the cable is subjected to a maximum force of P = 50 kN, select the lightest W310 wide-flange beam that can safely support the load. The beam has an allowable normal stress of σallow = 150 MPa and an allowable shear stress of τallow = 85 MPa.
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The simply supported joist is used in the construction of a floor for a building. In order to keep the floor low with respect to the sill beams C and D, the ends of the joist are notched as shown. If the allowable shear stress is tallow = 350 psi and the allowable bending stress is s allow = 1700 psi, determine the smallest height h so that the beam will support a load of P = 600 lb. Also, will the entire joist safely support the load? Neglect the stress concentration at the notch.
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/ft
If 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.
Chapter 15 Solutions
Statics and Mechanics of Materials, Student Value Edition (5th Edition)
Ch. 15.2 - Determine the minimum dimension a to the nearest...Ch. 15.2 - Prob. 2FPCh. 15.2 - Prob. 3FPCh. 15.2 - Determine the minimum dimension h to the nearest...Ch. 15.2 - Prob. 5FPCh. 15.2 - Select the lightest W410-shaped section that can...Ch. 15.2 - The beam is made of timber that has an allowable...Ch. 15.2 - Determine the minimum width of the beam to the...Ch. 15.2 - Determine the minimum width of the beam to the...Ch. 15.2 - The brick wall exerts a uniform distributed load...
Ch. 15.2 - Select the lightest-weight wide-flange beam from...Ch. 15.2 - Prob. 6PCh. 15.2 - Select the lightest-weight wide-flange beam with...Ch. 15.2 - Select the lightest-weight wide-flange beam from...Ch. 15.2 - Select the lightest W360 wide-flange beam from...Ch. 15.2 - Investigate if the W250 58 beam can safely...Ch. 15.2 - The beam is constructed from two boards. If each...Ch. 15.2 - The joists of a floor in a warehouse are to be...Ch. 15.2 - The timber beam has a width of 6 in. Determine its...Ch. 15.2 - The beam is constructed from four boards. If each...Ch. 15.2 - The beam is constructed from two boards. If each...Ch. 15.2 - If the cable is subjected to a maximum force of P...Ch. 15.2 - If the W360 45 wide-flange beam has an allowable...Ch. 15.2 - If P = 800 lb, determine the minimum dimension a...Ch. 15.2 - If a = 3 in. and the wood has an allowable normal...Ch. 15.2 - The beam is constructed from three plastic strips....Ch. 15.2 - If the allowable bending stress is allow = 6 MPa,...Ch. 15.2 - The beam is made of Douglas fir having an...Ch. 15.2 - Select the lightest-weight wide-flange beam from...Ch. 15.2 - Draw the shear and moment diagrams for the shaft,...Ch. 15.2 - Draw the shear and moment diagrams for the shaft,...
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- The double-web girder is construction from two plywood sheets that are secured to wood members at its top and bottom. If each fastener can support 600 lb in single shear, determine the required spacing s of the fasteners needed to support the loading P = 3000 lb. Assume A is pinned and B is a roller. Hint: Think carefully about the number of fasteners transferring stress from one piece of the cross- section to another. 2 in. 2 in. 10 in. A ||-6 in.|| 0.5 in. 0.5 in. 2 in. T2 in. 0000000000000000 000 4 ft- +4 ft Barrow_forwardIf the beam is made of material having an allowable tensile and compressive stress of (sallow)t = 125 MPa and (sallow)c = 150 MPa, respectively, determine the maximum moment M that can be applied to the beam.arrow_forwardThe 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_forward
- Determine 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 beam is constructed from three boards. Determine the maximum loads P that it can support if the allowable shear stress for the wood is tallow = 400 psi. What is the maximum allowable spacing s of the nails used to holdthe top and bottom flanges to the web if each nail can resist a shear force of 400 lb?arrow_forwardThe 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. Determine the maximum load P that can be applied to 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 = 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 supported by a Pin at A and a short link BC. If P = 15 kN, determine the averageshear stress developed in pin B (Double Shear).arrow_forwardDetermine 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
- 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_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 0.625 in. Assume L = 3.5 ft. If the average shear stress in the bolts cannot exceed 70 ksi, determine the maximum distributed load Wmax that can be supported by the structure. F₁ B L (1) Answer: Wmax kips/ft =arrow_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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