
Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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Transcribed Image Text:A steel wide-flange section is used as a cantilever beam having a span of 6 ft. The beam supports a distributed load that varies uniformly from 3 kips/ft at the support to zero at the free end. Determine the required moment of inertia of the beam if the
deflection is not to exceed 1/240 times the span.
11. CANTILEVER BEAM: LOAD INCREASING UNIFORMLY TO FIXED END
R=V...
V, ....
12
M max (at fixed end)
.
WI
W
31
Shear
M,
Amax (at free end). . ..
1SEI
(8 - 514x+ 4/5)
60E2
M max
Moment
A,
Coeff. of
Thermal
Expansion a Poisson's
in/in./F
x 10-6
Mod. of Mod. of Tensile Yield
Elasticity Rigidity
G
Strength
F,
ksi
Ultimate Strength
ksi
Density
Ratio
pcf
Tens. Comp. Shear
Material
ksi
ksi
Steel ASTM A36 or
490
30,000
12,000
36
58
6.5
0.25
A501
Steel (high-strength
low-alloy) ASTM
A992
490
30,000
12,000
50
65
6.5
0.25
Steel AISI 1020
490
30,000
11,500
30
55
6.5
0.25
hot-rolled
Steel AISI 1040
490
30,000
11,500
42
76
6.5
0.25
hot-rolled
Stainless steel
490
29,000
11,600
40
85
60
6.5
0.25
(annealed)
Cast iron (gray)
490
15,000
6000
20
80
32
5.9
0.26
4000
Aluminum alloy
6061-T6
165
10,000
35
38
27
13.1
0.33
Titanium alloy
275
16,500
6500
130
140
100
5.4
Magnesium alloy
112
6500
2400
20
40
20
14.5
0.34
Brass (rolled)
Activate Windows
535
14,000
6000
50
60
50
10.4
0.34
Bronze (cast)
535
12.000
5000
25
33
56
10.1
0.35
Go to Settings to activate Windc
Copper
(hard drawn)
550
15,000
6000
40
55
38
9.3
0.35
19:56
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