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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
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 small balcony constructed of wood is supported by three identical cantilever beams (see figure). 4b 3 Each beam has length L, = 2.1 m, width b, and height h 4b The dimensions of the balcony floor are L, x L2, where L, = 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, 3 which have a weight density y = 6.1 kN/m3.) 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). b = mm h = mm
Transcribed Image Text:A small balcony constructed of wood is supported by three identical cantilever beams (see figure). 4b 3 Each beam has length L, = 2.1 m, width b, and height h 4b The dimensions of the balcony floor are L, x L2, where L, = 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, 3 which have a weight density y = 6.1 kN/m3.) 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). b = mm h = mm
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