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Result integration, design strip

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Problem. The design strip sums shell results across a strip into beam section forces. In the one-way plate limit the strip results are compared with beam theory.

Reference document. Beam theory is used, at the one-way plate limit.

On a simply supported strip the moment varies parabolically along the span.

M(x)=w x (L−x)2M(x) = \dfrac{w\,x\,(L-x)}{2}

Numerical model. The method is free-body equilibrium.

One-way slab strip, simply supported

Parameters. lx = 6 · b = 6 · q = -15 · mesh = 24×24

Published source. Beam theory, at the one-way plate limit

QuantityReferenceComputedDeviation
Strip moment M=wbL2/8M = wbL^2/8405404.4820.128%