Mechanics of Materials (MindTap Course List)
9th Edition
ISBN: 9781337093347
Author: Barry J. Goodno, James M. Gere
Publisher: Cengage Learning
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Chapter 5, Problem 5.6.8P
A pontoon bridge (see figure) is constructed of two longitudinal wood beams, known as bulks, that span between adjacent pontoons and support the transverse floor beams, which arc called chesses. For purposes of design, assume that a uniform floor load of 7.5 kPa acts over the chesses. (This load includes an allowance for the weights of the chesses and balks.) Also, assume that the chesses are 2.5 m long and that the balks are simply supported with a span of 3.0 m. The allowable bending stress in the wood is 15 MPa.
- If the balks have a square cross section, what is their minimum required width b^l
- Repeat part (a) if the balk width is 1.5 b and the balk depth is b; compare the cross-sectional areas of the two designs.
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A pontoon bridge (see figure) is constructedof two longitudinal wood beams, known as balks,that span between adjacent pontoons and supportthe transverse floor beams, which are called chesses.For purposes of design, assume that a uniform floorload of 7.5 kPa acts over the chesses. (This loadincludes an allowance for the weights of the chessesand balks.) Also, assume that the chesses are 2.5 m long and that the balks are simply supported with aspan of 3.0 m. The allowable bending stress in thewood is 15 MPa.(a) If the balks have a square cross section, what istheir minimum required width bmin?(b) Repeat part (a) if the balk width is 1.5 b andthe balk depth is b; compare the cross-sectionalareas of the two designs.
A small balcony constructed of wood issupported by three identical cantilever beams (seefigure). Each beam has length L1 = 2.1m, width b,and height h = 4b/3. The dimensions of the balconyfloor are L1 XL2, where L2 = 2.5 m. The designload is 5.5 kPa acting over the entire floor area.(This load accounts for all loads except the weightsof the cantilever beams, which have a weight densityΥ = 5.5 kN/m3.) The allowable bending stress in thecantilevers is 15 MPa.Assuming that the middle cantilever supports50% of the load and each outer cantilever supports25% of the load, determine the required dimensions band h.
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Chapter 5 Solutions
Mechanics of Materials (MindTap Course List)
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