Statics and Mechanics of Materials (5th Edition)
5th Edition
ISBN: 9780134382593
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 15.2, Problem 6FP
Select the lightest W410-shaped section that can safely support the load. The beam is made of steel having an allowable normal stress of σallow = 150 MPa and an allowable shear stress of τallow = 75 MPa. Assume the beam is pinned at A and roller supported at B.
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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.
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Determine the shear stress (in Mpa) in the 23.5-mm-diameter pin at A that support the beam if P = 28.36 kN, a = 2.25 m, and b = 6.56 m.
Chapter 15 Solutions
Statics and Mechanics of Materials (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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- 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_forwardThe overhang beam is constructed using two 2-in. by 4-in. pieces of wood braced as shown. If the allowable bending stress is sallow = 600 psi, determine the largest load P that can be applied. Also, determine the maximum spacing of nails, s, along the beam section AC if each nail can resist a shear force of 800 lb. Assume the beam is pin connected at A, B, and D. Neglect the axial force developed in the beam along DA.arrow_forwardDetermine the minimum dimension a 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 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_forwardIf P=3000 Ib or 3 kip, determine the minimum dimension 'a' of the beam's cross section to safely support the load. The wood has an allowable normal stress of Calow =1.5 Ksi and an allowable shear stress of T, allow=100 psi. a 2a -3 ft -3 ft 3 ftarrow_forwardA laminated spring Im long is built in 100 mm x 10 mm plates. If the spring is to carry a load of 10 kN at its centre, determine the number of plates required for the spring. Take allowable bending stress as 150 MPa.arrow_forward
- Determine the maximum uniform distributed load w0 that can be supported by the reinforced concrete beam if the allowable tensile stress for the steel is (sst)allow = 28 ksi and the allowable compressive stress for the concrete is (sconc)allow = 3 ksi. Assume the concrete cannot support a tensile stress. Take Est = 29(103) ksi, Econc = 3.6(103) ksi.arrow_forwardA beam made of timber is required to span 5m and has dimensions of 75mm x 250mm. If the beam is simply supported and carries a point load of 40KN. Determine the safe allowable stress due to bending. Let: M max= WL/4 Mr= fz Z=bd2/6arrow_forwardAll the pins are in double shear, and they each have a diameter of 14 mm. The average shear stress in each pin CANNOT exceed 70 MPa. What is the max magnitude of P that the beam can supportarrow_forward
- The overhanging beam ABC of span 5.4 m is constructed of a W360 X 216 rolled-aluminium shape. It carries uniformly distributed load, ω of 35 kN/m and point loads of P1 = 30 kN and P2 = 25 kN. Determine the maximum normal stress of the beam due to bending.arrow_forwardIf 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.arrow_forwardA log that is 2 ft in diameter is to be cut into a rectangular section for use as a simply supported beam. If the allowable bending stress is sallow = 8 ksi, determine the largest load P that can be supported if the width of the beam is b = 8 in.arrow_forward
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