An element of an orthotropic lamina is subjected to an off-axis shear stress, \(\tau_{x y}\), as shown in Figure 4.7a. Using the Tsai-Hill criterion and assuming that the lamina strengths are the same in tension and compression, develop an equation relating the allowable value of \(\tau_{x y}\) to the lamina strengths, \(s_{\mathrm{L}}, s_{\mathrm{T}}\), and \(s_{\mathrm{LT}}\) and the fiber orientation \(\theta\).

Figure 4.7a.

Transcribed Image Text:

(a) Txy