Table 2 Chord deformations of VATM by the principles of virtual work method.
From: Theoretical and Experimental Study of Effective Shear Stiffness of Reinforced ECC Columns
Member | Force | Unit load | Length | Rigidity | Deformation |
|---|---|---|---|---|---|
F | f | l | EA | Ffl/EA | |
BD | \( - \frac{{dV_{t} }}{{\sin \theta_{1} }} \) | \( - \frac{1}{{\sin \theta_{1} }} \) | \( \frac{{d_{v} }}{{\sin \theta_{1} }} \) | \( \frac{{E_{c} bL\sin \theta_{1} dx}}{2} \) | \( \frac{{2d_{v} dV_{t} }}{{E_{c} bL\sin^{4} \theta_{1} dx}} \) |
CE | \( - \frac{{dV_{t} }}{{\sin \theta_{2} }} \) | \( - \frac{1}{{\sin \theta_{2} }} \) | \( \frac{{d_{v} }}{{\sin \theta_{2} }} \) | \( \frac{{E_{c} bL\sin \theta_{2} dx}}{2} \) | \( \frac{{2d_{v} dV_{t} }}{{E_{c} bL\sin^{4} \theta_{2} dx}} \) |
BE | +Â dV t | +Â 1 | d v | \( E_{s} \left( {\frac{{A_{sh} }}{s} + \frac{b}{n}} \right)Ldx \) | \( \frac{{d_{v} dV_{t} }}{{E_{s} \left( {\frac{{A_{sh} }}{s} + \frac{b}{n}} \right)Ldx}} \) |