Question

Element body force vector is given by ______

(a) f^e=\(\frac{A_el_ef}{2} \int_{-1}^{1}\) N^T dξ

(b) f^e= \(\frac{A_el_e}{2}\int_{}^{1}\) N^T dξ

(c) Conditioning strategies

(d) f^e=∫ N^T dξ

This question was posed to me in final exam.

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

Answer 1

Right choice is (a) f^e=\(\frac{A_el_ef}{2} \int_{-1}^{1}\) N^T dξ

To explain: A body force is a force that acts throughout the volume of the body. In FEM, Element body force vector is given by

f^e=\(\frac{A_el_ef}{2} \int_{-1}^{1}\) N^T dξ