A wooden beam is fabricated by nailing together three boards as shown. The boards have dimensions of b1 = 14 in., d1 = 2.2 in., b2 = 2.2 in., d2 = 13 in., b3 = 7 in., and d3 = 2.2 in. (a) Determine the distance from the bottom edge of the section to the centroid. (b) Determine the moment of inertia of the section about the z axis. (c) Determine the maximum shear stress in the cross section if the internal shear force is V = 480 lb. Assume that the shear force Vacts in the y direction.
A wooden beam is fabricated by nailing together three boards as shown. The boards have dimensions of b1 = 14 in., d1 = 2.2 in., b2 = 2.2 in., d2 = 13 in., b3 = 7 in., and d3 = 2.2 in. (a) Determine the distance from the bottom edge of the section to the centroid. (b) Determine the moment of inertia of the section about the z axis. (c) Determine the maximum shear stress in the cross section if the internal shear force is V = 480 lb. Assume that the shear force Vacts in the y direction.
Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
5th Edition
ISBN:9781305084766
Author:Saeed Moaveni
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Chapter12: Electric Current And Related Variables In Engineering
Section12.2: Electrical Circuits And Components
Problem 6BYG
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Transcribed Image Text:A wooden beam is fabricated by nailing together three boards as shown. The boards have dimensions
of b1 = 14 in., d1 = 2.2 in., b2 = 2.2 in., d2 = 13 in., b3 = 7 in., and d3 = 2.2 in.
%3D
(a) Determine the distance from the bottom edge of the section to the centroid.
(b) Determine the moment of inertia of the section about the z axis.
(c) Determine the maximum shear stress in the cross section if the internal shear force is V = 480 lb.
Assume that the shear force Vacts in the y direction.
(d) Consider nail B that connects the bottom flange to the beam web. If the nails used at B can provide
150 Ib of horizontal resistance (in the x direction), determine the maximum nail spacing s (in the x
direction) that can be used for nail B. Assume V = 480 lb.
(e) If a bending moment applied about the z axis produces a tension normal stress of ox = 510 psi at
the bottom of the cross section, determine the compression normal stress produced at the top of the
cross section.
b1
y|
Nail A
di
d2
b2
dz
Nail B
b3
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