Question: Develop the stiffness matrix for a fictitious pure shear panel element (Figure P4-46) in terms of the shear modulus, G, the shear web area, Aw,

Develop the stiffness matrix for a fictitious pure shear panel element (Figure P4-46) in terms of the shear modulus, G, the shear web area, Aw, and the length, L. Notice that Y and v are the shear force and transverse displacement at each node, respectively.
Given
1) ( = G(,
2) Y = (Aw,
3) Y1 + Y2 = 0,
4) ( = v2 - v1 / L
Figure P4-46

Y2, 2 Y1,01 Element in equilibrium Positive node force sign convention (neglect moments) 2.

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