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Added support for statically indeterminate beams. Also added `max_shear_force`and `max_bmoment` methods. #14826

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merged 10 commits into from Jun 27, 2018

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jashan498 commented Jun 22, 2018

Brief description of what is fixed or changed

solve_for_reaction_loads was updated to solve for statically indeterminate beams.
max_shear_force and max_bmoment was added to find maximum shear force and bending moment in the Beam object and its location.

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cym1 and others added some commits May 1, 2018

Update beam.py
The previous version doesn't allow applying reaction moments.

Example, a beam has length l and fixed supports at both ends. A 1000N load is applied at the center.

E = Symbol('E')
I = Symbol('I')
l = Symbol('l', positive=True)
R1, R2 = symbols('R1, R2')
M1, M2 = symbols('M1, M2')

b = Beam(l, E, I)
b.bc_deflection = [(0, 0),(l, 0)]
b.bc_slope = [(0, 0),(l, 0)]

b.apply_load(R1, 0, -1)
b.apply_load(M1, 0, -2)
b.apply_load(R2, l, -1)
b.apply_load(M2, l, -2)
b.apply_load(-1000, 0.5*l, -1)

Method solve_for_reaction_loads will not solve M1 and M2. A new method solve() is proposed here to find M1, M2.

A new method extrema() also proposed to find the maximum deflection points

@Abdullahjavednesar Abdullahjavednesar requested a review from moorepants Jun 25, 2018

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jashan498 commented Jun 26, 2018

@parsoyaarihant parsoyaarihant added the GSoC label Jun 26, 2018

@parsoyaarihant parsoyaarihant merged commit 53c400d into sympy:master Jun 27, 2018

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@jashan498 jashan498 changed the title from Added `max_shear_force`, `max_bmoment` and `support for statically indeterminate beams to Added support for statically indeterminate beams. Also added `max_shear_force`and `max_bmoment` methods. Aug 11, 2018

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