EBK STATICS AND MECHANICS OF MATERIALS
5th Edition
ISBN: 8220102955295
Author: HIBBELER
Publisher: PEARSON
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Textbook Question
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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Chapter 15 Solutions
EBK STATICS AND MECHANICS OF MATERIALS
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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. Determine the maximum load P that can be applied to the beam.arrow_forwardThe 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 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_forwardbeam 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_forward
- If 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_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_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_forward
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Mechanics of Materials Lecture: Beam Design; Author: UWMC Engineering;https://www.youtube.com/watch?v=-wVs5pvQPm4;License: Standard Youtube License