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 1P
The beam is made of timber that has an allowable bending stress of σallow = 6.5 MPa and an allowable shear stress of τallow = 500 kPa. Determine its dimensions if it is to be rectangular and have a height-to-width ratio of 1.25. Assume the beam rests on smooth supports.
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The beam is made of Douglas fir having an allowable bending stress of sallow = 1.1 ksi and an allowable shear stress of tallow = 0.70 ksi. Determine the width b if the height h = 2b.
Determine the minimum width of the beam to the nearest 1/4 in. that will safely support the loading of P = 8 kip. The allowable bending stress is sallow = 24 ksi and the allowable shear stress is tallow = 15 ksi.
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.
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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- The beam is made of southern pine for which Ep = 13 GPa. Determine the displacement at A.arrow_forwardCalculate the maximum normal and shear stress values for the attached beam at x = 8.5 m. Determine the distribution of the shear stress in the cross-section in the y-axis direction at y=55 mm, y=109.99 mm and y=110.01 from top. The dimensions of the beam are a = 5.5 m, b = 3.0 m and c = 2.5 m, and the cross-sectional dimensions are d = 170 mm and h = 130 mm. The distributed load of the beam has the value q = 3kN / m and the force F = 10kN.arrow_forwardThe beam is made of timber that has an allowable bending stress of σallow=6.5MPaσallow=6.5MPa and an allowable shear stress of τallow=500kPaτallow=500kPa. Determine its height if it is to be rectangular and have a height-to-width ratio of 1.09. h=? Determine its width. Express your answer with the appropriate units. b=?arrow_forward
- The composite beam is made of A-36 steel (A) bonded to C83400 red brass (B) and has the cross section shown. If the allowable bending stress for the steel is (sallow)st = 180 MPa and for the brass (sallow)br = 60 MPa, determine the maximum moment M that can be applied to the beam.arrow_forwardthe 1m beam shown is subjected to 6 kN. if the beams has a rectangular cross section as shown where b = 0.2 m h = 0.5 m the maximum bending stress on the beam at section a-a when d = 0.3 m is kPa aarrow_forwardThe white spruce beam is reinforced with A-992 steel straps at its center and sides. Determine the maximum stress developed in the wood and steel if the beam is subjected to a bending moment of Mz = 10 kip # ft. Sketch the stress distribution acting over the cross section.arrow_forward
- The steel beam has an allowable bending stress sallow = 140 MPa and an allowable shear stress of tallow = 90 MPa. Determine the maximum load that can safely be supported.arrow_forwardThe composite beam consists of a wood core and two plates of steel. If the allowable bending stress for the wood is (sallow)w = 20 MPa, and for the steel (sallow)st = 130 MPa, determine the maximum moment that can be applied to the beam. Ew = 11 GPa, Est = 200 GPa.arrow_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_forward
- beam is supported by a roller and a hinge at its extremities. The 2 kN/m is loaded entirely on its 4 m length while 5 kN concentrated load is positioned 2 m from the left end of this beam. If the beam is 80 mm wide, determine the minimum height of the beam if the flexural stress is not to exceed 10 MPa.arrow_forwardThe composite beam consists of a wood core and two plates of steel. If the allowable bending stress for the wood is (ơallow)w = 20 MPa, and for the steel (ơallow)st = 130 MPa, determine the maximum shear v that can be applied to the beam. Ew = 11 GPa, E = 200 GPa. 125 mm Given: (7allow),vood = 6.5 MPa E n = Ew 200(10°) 11(10°) = 18.182 1 (0.80227)(0.125) = 0.130578(10-³)m* 12 I = 20 mm- 75 mm Failure of wood : 20 mm Mc (om)max = I M(0.0625) 20(10°) M = 41.8 KN•M 0.130578(10 125mm Failure of steel : nMc (ơ1)max = I 18.182(M)(0.0625). 0.130578(10¬³) 130(10“) M = 14.9 kN •m (controls) A maximum moment that can be applied to the beam.arrow_forwardA beam fabricated from western white pine has been reinforced by bonding steel strips on its top and bottom 1.5 ksi in the surfaces as shown. If the design is limited to wood = 1.5 ksi in the wood and a steel wood and steel = 35.6 ksi in the steel, determine the maximum bending moment if the beam bends about its vertical axis of symmetry. L3 Given: • L₁= 10 in • L₂ L₂ = 0.9 in • L3= 5.3 in Mmar SEHERAPECES SANTREMANEN La prender PERANAN PE P number (rtol-0.01, atol=1e-05) STEEL E WOOD N.A. L₁ kip. in L₂ L₂ Phuarrow_forward
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