Question

Potential energy, π = _________

(a) \(\frac{1}{2}\)Q^TKQ-Q^TF

(b) QKQ-QF

(c) \(\frac{1}{2}\)KQ-QF

(d) \(\frac{1}{2}\)QF

This question was posed to me in unit test.

My doubt stems from Finite Element Equations in division One Dimensional Problems of Finite Element Method

Answer 1

The correct choice is (a) \(\frac{1}{2}\)Q^TKQ-Q^TF

Best explanation: Minimum potential energy theorem states that “Of all possible displacements that satisfy the boundary conditions of a structural system, those corresponding to equilibrium configurations make the total potential energy assume a minimum value.”

  Potential energy π=\(\frac{1}{2}\)Q^TKQ-Q^TF