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.

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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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
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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