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Static systems covered:
Boundary condition Type of load Load description Figure Equations General case reference Make a caculation
End A End B
Fixed Fixed Distributed Uniformly distributed Table 1 Calculate
Fixed Free Distributed Uniformly distributed Table 2 Calculate
Simply supported Simply supported Point load bending moment both ends Table 3
Simply supported Simply supported Point load bending moment one end Table 4
Simply supported Simply supported Distributed Uniformly distributed part of length Table 5 Calculate
Simply supported Simply supported Distributed Uniformly distributed Table 5 (SC1) Table 5 Calculate
Simply supported Simply supported Distributed linearly distributed load Table 5 (SC2) Calculate
Simply supported Simply supported Point load Any position Table 7 Calculate
Simply supported Simply supported Point load Midspan Table 7 (SC1) Calculate
Simply supported Simply supported Point load on one cantilevered extension Table 9
Simply supported Simply supported Point load on two cantilevered extensions Table 10
Simply supported Simply supported Point load two point loads Table 12
Simply supported Simply supported Distributed triagularly distributed load Table 11

More equations are given at Civil Eng. Handbook - statics formulea (removed). Note that the equations should be checked if the answers appear unreasonable.

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