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Tension Field Action Shear Derivation

Tension Field Action Shear Derivation

Tension Field Action Shear Derivation

(OP)
I've been looking at some articles about tension field action and Basler (1961) appears to be the basis for a lot of the development of tension field action in steel girders.
I've found his original paper but had a question about one of his derivations.

On page 50 of 62 in the PDF, in Figure 2a, his derivation of V includes both sin and cos which I don't fully understand. I can see how it is the vertical component of the diagonal tensile stresses so the sine function should be there but I'm not sure why the cosine is included also.
The derivation is discussed in page 11 of 62.


Image


https://preserve.lehigh.edu/cgi/viewcontent.cgi?re...

RE: Tension Field Action Shear Derivation

Link is an invalid URL.

BA

RE: Tension Field Action Shear Derivation

b.cosφ = s (field width)
T = σ1.s.t = σ1.b.t.cosφ
V = T.sinφ = σ1.b.t.cosφ.sinφ

BA

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