A small balcony constructed of wood is supported by three identical cantilever beams (see figure). 46 Each beam has length L, = 2.1 m, width b, and height h =. The dimensions of the balcony floor are L, xL2, where L2 = 2.6 m. The design load is 6.1 kPa acting over the entire floor area. (This load accounts for all loads except the weights of the cantilever beams, which have a weight density y = 6.1 kN/m.) The allowable bending stress in the cantilevers is 12 MPa. Assuming that the middle cantilever supports 50% of the load and each outer cantilever supports 25% of the load, determine the required dimensions b and h (in mm). mm mm

A small balcony constructed of wood is supported by three identical cantilever beams (see figure). 46 Each beam has length L, = 2.1 m, width b, and height h =. The dimensions of the balcony floor are L, xL2, where L2 = 2.6 m. The design load is 6.1 kPa acting over the entire floor area. (This load accounts for all loads except the weights of the cantilever beams, which have a weight density y = 6.1 kN/m.) The allowable bending stress in the cantilevers is 12 MPa. Assuming that the middle cantilever supports 50% of the load and each outer cantilever supports 25% of the load, determine the required dimensions b and h (in mm). mm mm

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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A simply supported wood beam of length L = 8 ft carries a concentrated load P at midspan, as shown. The cross- sectional dimensions of the beam are b = 7 in. and h = 13 in. If the allowable shear strength of the wood is 130 psi, determine the maximum load P that may be applied at midspan. Neglect the effects of the beam's self-weight. 12 Answer: P = IM P B 7/2 C X lb N b h
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