A 200-Kip 1oad P is applied to the pin-ended rectongular lumber column Shown below. The column is braced in the weak direction Shown below. The lumber used has an allowable stress in compraSSIon Gau=1500 psi and E= 450x 10? psi find the smablest cross secton that cam be uscd ; d-ab factor of safety of 2.5 P. 7 ft 8 ft B.

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Chapter3: Tension Members
Section: Chapter Questions
Problem 3.3.8P
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A 200-Kip l0ad P is applied to
the Pin-ended rectongular lumber
colomn Shown below.
The column is braced in the weak
direction Shown below.
The lumber used has an allowable
Stress in compresston Gal=150u psi
and Ez 450 x 10° psi
find the smablest cross section that
can. be used ; factor of safety of 2.5
d-ab
7 ft
8 ft
Transcribed Image Text:A 200-Kip l0ad P is applied to the Pin-ended rectongular lumber colomn Shown below. The column is braced in the weak direction Shown below. The lumber used has an allowable Stress in compresston Gal=150u psi and Ez 450 x 10° psi find the smablest cross section that can. be used ; factor of safety of 2.5 d-ab 7 ft 8 ft
Мy
=
I
Mc
17.
18.
Omax
I
M
1
M
19.
Отах
20.
%3D
S
EI
1= Σ( + Ad?)
E(yA)
y
21.
22.
ΣΑ
23.
bh3
I :
24.
bh2
S =
12
2EI
25.
Per
26.
Ocr =
L2
(L/r)²
VQ
T =
It
VQ
27.
28.
I
3V
V
29.
Ттах
30.
Ттах
2A
dtw
kN
1 GPa = 106
m2
103 тт
kN
1 MPа — 103
m2
1 т %3
1°
-rad
180
lb
k
ksi =
in?
psi
in?
lb.ft
= 550
S
1 hр :
Transcribed Image Text:Мy = I Mc 17. 18. Omax I M 1 M 19. Отах 20. %3D S EI 1= Σ( + Ad?) E(yA) y 21. 22. ΣΑ 23. bh3 I : 24. bh2 S = 12 2EI 25. Per 26. Ocr = L2 (L/r)² VQ T = It VQ 27. 28. I 3V V 29. Ттах 30. Ттах 2A dtw kN 1 GPa = 106 m2 103 тт kN 1 MPа — 103 m2 1 т %3 1° -rad 180 lb k ksi = in? psi in? lb.ft = 550 S 1 hр :
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