A small balcony constructed of wood is supported by three identical cantilever beams (see figure). Each beam has length L - 1.9 m, width o, and height h= The dimensions of the balcony floor are L x La. with La - 2.7 m. The design load is 5 kPa acting over the entire floor area. (This load accounts for all loads except che weights of the cantilever beams, which have a weight density y-5 kN The allowable bending stress in the cantilevers is 18 MPa a) Assuming that the middle cantilever supports 50% of the load and each outer cantilever ssupports 25% of the load, determine the required dimension 6. Round to the nearest whole number mm D) Assuming that the middle cantilever supports 50% of the load and each outer cantilever supports 25% of the load, determine the required dimension h. Round to the nearest whole number. mm
A small balcony constructed of wood is supported by three identical cantilever beams (see figure). Each beam has length L - 1.9 m, width o, and height h= The dimensions of the balcony floor are L x La. with La - 2.7 m. The design load is 5 kPa acting over the entire floor area. (This load accounts for all loads except che weights of the cantilever beams, which have a weight density y-5 kN The allowable bending stress in the cantilevers is 18 MPa a) Assuming that the middle cantilever supports 50% of the load and each outer cantilever ssupports 25% of the load, determine the required dimension 6. Round to the nearest whole number mm D) Assuming that the middle cantilever supports 50% of the load and each outer cantilever supports 25% of the load, determine the required dimension h. Round to the nearest whole number. mm
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A small balcony constructed of wood is supported by three identical cantilever beams (see figure). Each beam has length L, = 1.9 m, width b, and height h =
56
The dimensions of the balcony floor are L, x L2, with La = 2.7 m. The design load is 5 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 = 5
kN
--) The allowable bending stress in the cantilevers is 18 MPa
m3
(a) Assuming that the middle cantilever supports 50% of the load and each outer cantilever supports 25% of the load, determine the required dimension b. Round to the nearest whole number.
mm
(b) Assuming that the middle cantilever supports 50% of the load and each outer cantilever supports 25% of the load, determine the required dimension h. Round to the nearest whole number.
h =
mm
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