A wood structure is assembled to support the force applied. All pieces of wood have a width of 5 in. The normal failure stress of the wood is o fail = 6000 psi. The shear failure stress of the wood is T fail = 2500 psi. The factor of safety against failure is 5. Hint: 1. Analyze the whole structure first to find the normal forces in members AB and AC

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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A wood structure is assembled to support the force applied.
All pieces of wood have a width of 5 in. The normal failure
stress of the wood is o fail = 6000 psi. The shear failure stress
of the wood is T fail = 2500 psi. The factor of safety against
failure is 5.
Hint:
1. Analyze the whole structure first to find the normal
forces in members AB and AC
b
B
0₁
ᎾᎥ
z
F
A
F
01
0₁
C
Values for the figure are given in the following table. Note
the figure may not be to scate.
Transcribed Image Text:A wood structure is assembled to support the force applied. All pieces of wood have a width of 5 in. The normal failure stress of the wood is o fail = 6000 psi. The shear failure stress of the wood is T fail = 2500 psi. The factor of safety against failure is 5. Hint: 1. Analyze the whole structure first to find the normal forces in members AB and AC b B 0₁ ᎾᎥ z F A F 01 0₁ C Values for the figure are given in the following table. Note the figure may not be to scate.
Values for the figure are given in the following table. Note
the figure may not be to scale.
Variable
F
0₁
a. Determine normal force in member AC, NAC.
b. Determine normal force in member AB, NAB.
c. Determine the shear force on the bottom support
member needed to find length b, V.
d. Determine the allowable normal stress, allow.
e. Determine the allowable shear stress, Tallow.
f. Determine minimum length, b.
g. Determine minimum thickness, t.
Round your final answers to 3 significant digits/figures.
NAC =
NAB =
V =
allow
Tallow
b =
t =
Value
5000 lb
15 degrees
=
lb
in
in
lb
lb
psi
psi
Transcribed Image Text:Values for the figure are given in the following table. Note the figure may not be to scale. Variable F 0₁ a. Determine normal force in member AC, NAC. b. Determine normal force in member AB, NAB. c. Determine the shear force on the bottom support member needed to find length b, V. d. Determine the allowable normal stress, allow. e. Determine the allowable shear stress, Tallow. f. Determine minimum length, b. g. Determine minimum thickness, t. Round your final answers to 3 significant digits/figures. NAC = NAB = V = allow Tallow b = t = Value 5000 lb 15 degrees = lb in in lb lb psi psi
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