Continuous Beams - Moment and Reaction Support Forces

Moments and reaction support forces with distributed or point loads.

Continuous Beam with Distributed Load

continuous beam moment reaction support forces distributed loads

For a continuous beam with 3, 4 or 5 supports and distributed load the reaction support forces can be calculated as

R = reaction support force (N, lbf)

cr = reaction support force coefficient from the figure above

q = distributed load (N/m, lbf/ft)

L = span length (m, ft)

The moments can be calculated as

cm = moment coefficient from the figure above

Example - Continuous Beam with Distributed Load

The reaction forces in the end supports for a continuous beam with 3 supports and distributed load 1000 N/m can be calculated as

The reaction force in the center support can be calculated as

The beam moments at the middle of spans with span length 1m can be calculated as

The beam moment at the center support can be calculated as

Continuous Beam with Point Loads

continuous beam moment reaction support forces point loads

For a continuous beam with 3, 4 or 5 supports and point loads the reaction support forces can be calculated as

cr = reaction support force coefficient from the figure above

The moments can be calculated as

cm = moment coefficient from the figure above

Example - Continuous Beam with Point Loads

The reaction forces in the end supports for a continuous beam with 3 supports and 2 point loads 1000 N can be calculated as

The reaction force in the center support can be calculated as

The beam moments at point loads with span length 1m can be calculated as

The beam moment at the center support can be calculated as

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