For a balanced double-lap joint cured at room temperature, Volkersens equation simplifies to (x) = P cosh(x)/4b

For a balanced double-lap joint cured at room temperature, Volkersen’s equation simplifies to
τ(x) = Pω cosh(ωx)/4b sinh(ωl/2) = A1 cosh(ωx)
(a) Show that the average stress τ is P/(2bl).
(b) Show that the largest shear stress is Pω/[4b tanh(ωl/2)].
(c) Define a stress-augmentation factor K such that
τ(l/2) = K τ
and it follows that
K = Pω/4b tanh(ωl/2) 2bl/P = ωl/2/tanh(ωl/2)
= ωl/2 exp(ωl/2) + exp(−ωl/2)/ exp(ωl/2) − exp(−ωl/2)