Modular Support Systems Technical Guide, Edition 2
3.0 Modular Support System
3.1.2 Mt Beam and Column Load Tables
Table 13- Beam Load, Shear, and Moment Diagrams
Simply-Supported Beams
RR LL = WWWW 2
RR RR = WWWW 2
VV mmmmmm = WWWW 2
MM mmmmmm = WWWW2 8
ΔΔ mmmmmm = 5WWWW4 384EEEE
RR LL = PP 2
RR RR = PP 2
VV mmmmmm = PP 2
MM mmmmmm = PPPP 4
ΔΔ mmmmmm = PPPP3 48EEEE
RR LL = PPPP LL
RR RR = PPPP LL
VV mmmmmm( aa > bb) = PPPP LL
VV mmmmmm( aa < bb) = PPPP LL
MM mmmmmm = PPPPPP LL
PPPPPP( aa + 2bb) �3aa( aa + 2bb) ΔΔ mmmmmm =
27EEEEEE
Cantilever Beams
RR LL = WWWW VV mmmmmm = WWWW
MM mmmmmm = WWWW2 2
ΔΔ mmmmmm = WWWW4 8EEEE
RR LL = PP VV mmmmmm = PP MM mmmmmm = PPPP
ΔΔ mmmmmm = PPPP3 3EEEE
RR LL = PP
VV mmmmmm = PP MM mmmmmm = PPPP
ΔΔ mmmmmm = PPPP2( 3LL − bb) 6EEEE
Beams Fixed at One End and Supported at the Other RR LL = 5WWWW
8
RR RR = 3WWWW 8
VV mmmmmm = 5WWWW 8
MM mmmmmm = WWWW2 8
ΔΔ mmmmmm = WWWW4 184EEEE
RR LL = 11PP 16
RR RR = 5PP 16
VV mmmmmm = 11PP 16
MM mmmmmm = 3PPPP 16
ΔΔ mmmmmm
= 0.00932 PPPP3 EEEE
RR LL = PPPP 2LL 3( 3ll2 − aa 2)
RR RR = PPbb2( aa + 2ll) 2LL3
MM LL = PPPPPP( aa + LL) 2LL2
ΔΔ mmmmmm = PPPP2( 3LL − bb) 6EEEE
Beams Fixed at Both Ends
RR LL = WWWW 2
RR RR = WWWW 2
VV mmmmmm = 5WWWW 8
MM mmmmmm = WWWW2 12
ΔΔ mmmmmm = WWWW4 384EEEE
RR LL = PP 2
RR RR = PP 2
VV mmmmmm = PP 2
MM mmmmmm = PPPP 8
ΔΔ mmmmmm = PPPP3 192EEEE
RR LL = PPbb3( 3aa + bb) LL3
RR RR = PPaa3( aa + 3bb) LL3 MM aaaa PP = 2PPPP2 bb 2
LL 3
MM mmmmmm = PPaa2 bb
LL 2
2PPPP 3 bb 2 ΔΔ mmmmmm =
3EEEE( 3aa + bb) 2
W: |
Uniformly Distributed Load |
V: |
Shear |
P: |
Concentrated( Point) Load |
L: |
Beam Span Length |
Vmax: |
Maximum Shear |
E: |
Modulus of Elasticity |
RL: |
Reaction at Left End |
M: |
Moment |
I: |
Moment of Inertia |
RR: |
Reaction at Right End |
Mmax: |
Maximum Moment |
∆max: |
Maximum Deflection of Beam |
35