The cross-section of the rough-cut timber beam shown is loaded with (W) over six feet of the span. Determine the maximum value of (W #/ft.) if the allowable bending stress is Fb = 1,600 psi and the allowable shear stress is Fv = 85 psi.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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The cross-section of the rough-cut timber beam shown is loaded with (W) over six feet of the span. Determine the maximum value of (W #/ft.) if the allowable bending stress is
Fb = 1,600 psi and the allowable shear stress is Fv = 85 psi.

V
6"
Ix:
c=6"
t
Beam cross section
= 300
Mmax = 60+2(3)(30) = 10.5w
A = 72 in.²
(6)(12³)
12
12"
=864in.
864in.
S₂ =
6in.
F = 1,600 psi
= 144in. ³
F₁ = 85 psi
+300
+0.
+01
2¹
300
W = (#/FT.)
101
@ = (lb/ft)
L = 10'
3'
2₁
300
Mmax = 10.50
'V'
-300
'M'
Transcribed Image Text:V 6" Ix: c=6" t Beam cross section = 300 Mmax = 60+2(3)(30) = 10.5w A = 72 in.² (6)(12³) 12 12" =864in. 864in. S₂ = 6in. F = 1,600 psi = 144in. ³ F₁ = 85 psi +300 +0. +01 2¹ 300 W = (#/FT.) 101 @ = (lb/ft) L = 10' 3' 2₁ 300 Mmax = 10.50 'V' -300 'M'
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