36 and height h = . The dimensions of the balcony floor are Lị × L2, with L2 = 2.7 m. The design load is 6.5 kPa acting over the entir 2 kN floor area. (This load accounts for all loads except the weights of the cantilever beams, which have a weight density y = 6.5 .) The m3 allowable bending stress in the cantilevers is 45 MPa. 36 (a) Assuming that the middle cantilever supports 50 % of the load and each outer cantilever supports 25 % of the load, determine the reqir dimension 6. Round to the nearest whole number. b=| mm (b) Assuming that the middle cantilever supports 50 % of the load and each outer cantilever supports 25 % of the load, determine the requi dimension h. Round to the nearest whole number. h = mm

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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A small balcony constructed of wood is supported by three identical cantilever beams (see figure). Each beam has length L, = 2.3 m, width b, and height h = 3b/2. The dimensions of the balcony floor are L, x L2, with La = 2.7 m. The design load is 6.5 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 = 6.5 kN/m^3 --) The allowable bending stress in the cantilevers is 45 MPa

(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

A small balcony constructed of wood is supported by three identical cantilever beams (see figure). Each beam has length L1 = 2.3 m, width b,
%3D
and height h = -
36
. The dimensions of the balcony floor are Lị × L2, with L2 = 2.7 m. The design load is 6.5 kPa acting over the entire
2
kN
floor area. (This load accounts for all loads except the weights of the cantilever beams, which have a weight density y = 6.5
-) The
m3
allowable bending stress in the cantilevers is 45 MPa.
36
L2
(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.
b=
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
Transcribed Image Text:A small balcony constructed of wood is supported by three identical cantilever beams (see figure). Each beam has length L1 = 2.3 m, width b, %3D and height h = - 36 . The dimensions of the balcony floor are Lị × L2, with L2 = 2.7 m. The design load is 6.5 kPa acting over the entire 2 kN floor area. (This load accounts for all loads except the weights of the cantilever beams, which have a weight density y = 6.5 -) The m3 allowable bending stress in the cantilevers is 45 MPa. 36 L2 (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. b= 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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