Page 20 - ZSi-Foster-Product-Catalog
P. 20

Beam Load Support Formulas
      Cantilever Beams
P aPb
V max. = P V max. = W V max. = P
L M max. = PL L M max. =WL L M max. = Pb 3232
               max. = PL max. = WL
3EI V     8EI V
max. = Pb (3L-b) 6EI
    V MMM
       Simple Beams
   L2P aPb R= P R= W
          R1= Pb L2PL2WLL
                 R V
M
R1 V
M
V
R V max. = R
R V max. = R 221L
R2 R2= Pa
   M max. =PL V M max. =WL V V max. = Pa 43 83 L
    max. = PL 48EI
max. = 5WL 384EI
M max. =Pab L
max. = Pab(a+2b) 3a(a+2b) 27EIL
       M
M
    Beams Fixed At One End & Supported At The Other
   L2 P
L 1611P L 85W L Pa22
           R1=5P
V max. = 16 M max. =3PL
R1=3W
R1 V max. = 8 R1
M max. =WL V
a
Pb   R=Pb2(a+2L) 1 2L3
                16
max. at x = 0.447L
V
3L8 8
max. at x = 0.4215L
R2
Pb
R2=2L3(3L -a )
M at point of load = R1a
M at fixed end = Pab (a+L)
R=Pb2(3a+b) 1 L3
         max. = 0.009317PL3 M EI
V max. = P2
3L max. = WL3 M 4 185EI
Beams Fixed At Both Ends
2L3
           L2 P L
V max. = W2
a
                    M max. =PL 83
M max. =WL
R =Pa2(a+3b)
L
L
123 R1 R22L3
         max. = PL 192EI
V
max. = WL V 384EI
M = Pab2 1 L2
– Deflection
E – Modulus of Elasticity I – Moment of Inertia
      M =Pa2b
  M M MM2L2 12
     R – Reaction
M – Moment
P – Concentrated Load
W – Total Uniform Load V – Shear
L – Length
   – 20 –
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