AISC-Design Properties of Cantilevered Beams
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BEAM DIAGRAMS AND FORMULAS Design properties of cantilevered beams Equal loads, equally spaced No. Spans System 2 3 4 5 ≥6 (even) ≥7 (odd) n ∞ 2 3 4 5 Typical Span Loading M1 M2 M3 M4 M5 0.086PL 0.096PL 0.063PL 0.039PL 0.051PL 0.167PL 0.188PL 0.125PL 0.083PL 0.104PL 0.250PL 0.278PL 0.167PL 0.083PL 0.139PL 0.333PL 0.375PL 0.250PL 0.167PL 0.208PL 0.429PL 0.480PL 0.300PL 0.171PL 0.249PL A B C D E F G H 0.414P 1.172P 0.438P 1.063P 1.086P 1.109P 0.977P 1.000P 0.833P 2.333P 0.875P 2.125P 2.167P 2.208P 1.958P 2.000P 1.250P 3.500P 1.333P 3.167P 3.250P 3.333P 2.917P 3.000P 1.667P 4.667P 1.750P 4.250P 4.333P 4.417P 3.917P 4.000P 2.071P 5.857P 2.200P 5.300P 5.429P 5.557P 4.871P 5.000P a b c d e f 0.172L 0.125L 0.220L 0.204L 0.157L 0.147L 0.250L 0.200L 0.333L 0.308L 0.273L 0.250L 0.200L 0.143L 0.250L 0.231L 0.182L 0.167L 0.182L 0.143L 0.222L 0.211L 0.176L 0.167L 0.176L 0.130L 0.229L 0.203L 0.160L 0.150L Moments Reactions Cantilever Dimensions 1 M 1 M M 1 A B a A M 3 3 M 1 M M 1 2 M 3 M 2 M 1 M M 4 1 M C A D E D E C A b b c c 1 M M 3 M 3 1 M M 5 3 M 2 M A F G D C d e b M 3 3 M 3 M 3 M 1 M M 3 M 3 M 1 2 M 3 M 3 M 3 M 2 M 1 M M 5 3 M 5 M M 1 C A D F H G H G D F C A b f b f d e e d f f 1 M M 3 M 3 M 3 M 3 1 M M 5 3 M 3 M M 3 2 M A F G H H D C d e b M 3 3 M 3 M 3 M 3 M 3 M 1 M M 3 M 3 M 3 M 3 M 1 2 M 3 M 3 M 3 M 3 M 3 M 2 M 1 M M 5 3 M 3 M M 3 5 M 1 M C A D F H G H H H H H G D F C A b f f f f f b f d e e d P 2 P 2 P P 2 P 2 P P P 2 P 2 P P P P 2 P 2 P P P P P AMERICAN INSTITUTE OF STEEL CONSTRUCTION BEAM DIAGRAMS AND FORMULAS 4 - 205
description
Important design aid for steel gerber system beams
Transcript of AISC-Design Properties of Cantilevered Beams
BEAM DIAGRAMS AND FORMULASDesign properties of cantilevered beams
Equal loads, equally spaced
No. Spans System
2
3
4
5
≥6(even)
≥7(odd)
n ∞∞ 2 3 4 5
Typical SpanLoading
M1
M2
M3
M4
M5
0.086PL0.096PL0.063PL0.039PL0.051PL
0.167PL0.188PL0.125PL0.083PL0.104PL
0.250PL0.278PL0.167PL0.083PL0.139PL
0.333PL0.375PL0.250PL0.167PL0.208PL
0.429PL0.480PL0.300PL0.171PL0.249PL
ABCDEFGH
0.414P1.172P0.438P1.063P1.086P1.109P0.977P1.000P
0.833P2.333P0.875P2.125P2.167P2.208P1.958P2.000P
1.250P3.500P1.333P3.167P3.250P3.333P2.917P3.000P
1.667P4.667P1.750P4.250P4.333P4.417P3.917P4.000P
2.071P5.857P2.200P5.300P5.429P5.557P4.871P5.000P
abcdef
0.172L0.125L0.220L0.204L0.157L0.147L
0.250L0.200L0.333L0.308L0.273L0.250L
0.200L0.143L0.250L0.231L0.182L0.167L
0.182L0.143L0.222L0.211L0.176L0.167L
0.176L0.130L0.229L0.203L0.160L0.150L
Mom
ents
Rea
ctio
nsC
antil
ever
Dim
ensi
ons
1M
1M M1
A B
a
A
M3 3M
1M M1
2M 3M 2M
1M M4 1M
C
A
D
E
D
E
C
A
b b
c c
1M M3 M31M M5 3M 2M
A F G D C
d e b
M3 3M 3M 3M
1M M3 M3 M1
2M 3M 3M 3M 2M
1M M5 3M 5M M1
C
A
D
F
H
G
H
G
D
F
C
A
b f bf
d e e d
f f
1M M3 M3 M3 M31M M5 3M 3M M3 2M
A F G H H D C
d e b
M3 3M 3M 3M 3M 3M
1M M3 M3 M3 M3 M1
2M 3M 3M 3M 3M 3M 2M
1M M5 3M 3M M3 5M 1M
C
A
D
F
H
G
H
H
H
H
H
G
D
F
C
A
b f
f f
f f bf
d e e d
P 2P
2P
P 2P
2P
PP 2P
2P
PP P 2P
2P
PP P P
AMERICAN INSTITUTE OF STEEL CONSTRUCTION
BEAM DIAGRAMS AND FORMULAS 4 - 205
