Final answer:
The normal strain along edge BC and the average shear strain at corner A can be calculated based on the changes in geometry due to the applied forces. The normal strain requires measurements of the original and deformed length of edge BC, while shear strain involves the lateral displacement with respect to the original transverse dimension.
Step-by-step explanation:
The question relates to the concept of normal strain on edge BC and the average shear strain at corner A due to the deformation of a triangular plate. To determine the normal strain along edge BC, one should calculate the change in length of edge BC relative to its original length. This can be expressed as ε = (ΔL)/L, where ε represents the normal strain, ΔL is the change in length, and L is the original length of BC. As for the average shear strain at corner A, it involves assessing the angular distortion the corner experiences relative to the x and y axes. The shear strain γ can be computed as γ = (Δx)/Lo, where Δx is the lateral displacement and Lo is the original transverse dimension. The shear modulus (G) also relates to determine the shear stress by the relation τ = Gγ, with τ being the shear stress. In the context of cellular strain for soft substrates, deformation is often characterized by the displacement field u(x, y), which leads to a strain matrix that accommodates various strains including shear.