A wooden beam is fabricated by nailing together three boards as shown. The boards have dimensions of b₁ = 12 in., d₁ = 1.9 in., b2 = 1.9 in., d₂ = 11 in., b3 = 6 in., and d3 = 1.9 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 = 400 lb. Assume that the shear force V acts in the y direction. (d) C
A wooden beam is fabricated by nailing together three boards as shown. The boards have dimensions of b₁ = 12 in., d₁ = 1.9 in., b2 = 1.9 in., d₂ = 11 in., b3 = 6 in., and d3 = 1.9 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 = 400 lb. Assume that the shear force V acts in the y direction. (d) C
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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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 = 12 in., d₁ = 1.9 in., b2 = 1.9 in., d₂ = 11 in., b3 = 6 in., and d3 = 1.9 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 =
400 lb. Assume that the shear force V acts 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 95 lb 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 = 400 lb.
Ox
(e) If a bending moment applied about the z axis produces a tension normal stress of ox = 650
psi at the bottom of the cross section, determine the compression normal stress produced at
the top of the cross section.
Z
Z-
&
b₂-
b₁
|
y
Nail A
FE
Nail B
d₁
d₂
V
d3
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