- See Article - Beam Design Formulas
Two Span Continuous Beam - Equal Spans, Two Equal Concentrated Loads Symmetrically Placed formulas |
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R1=V1=P⋅b4⋅L3⋅(4⋅L2−a⋅(L+a)) R2=P⋅a2⋅L3⋅(2⋅L2+b⋅(L+a)) R3=V3=−P⋅a⋅b4⋅L3⋅(L+a) V2=P⋅a4⋅L3⋅(4⋅L2+b⋅(L+a)) M1(atsupportR2)=P⋅a⋅b4⋅L2⋅(L+a) Mmax=P⋅a⋅b4⋅L3⋅(4⋅L2−a⋅(L+a)) |
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| Symbol | English | Metric |
| a,b = horizontal distance to point load | in | mm |
| M = maximum bending moment | lbf−in | N−mm |
| V = maximum shear force | lbf | N |
| R = reaction load at bearing point | lbf | N |
| L = span length under consideration | in | mm |
| P = total consideration load | lbf | N |
Diagram Symbols
Bending moment diagram (BMD) - Used to determine the bending moment at a given point of a structural element. The diagram can help determine the type, size, and material of a member in a structure so that a given set of loads can be supported without structural failure.
Free body diagram (FBD) - Used to visualize the applied forces, moments, and resulting reactions on a structure in a given condition.
Shear force diagram (SFD) - Used to determine the shear force at a given point of a structural element. The diagram can help determine the type, size, and material of a member in a structure so that a given set of loads can be supported without structural failure.
Uniformly distributed load (UDL) - A load that is distributed evenly across the entire length of the support area.
