MT-1620 al.2002 q= generalized displacement (linear or rotation Q generalized force(force or moment/torque Note that Q; and g;are at the same point have the same sense (i.e. direction of the same type force← displacement) ( moment e> rotation) For a linear, elastic body, superposition applies, so can write q1=C12+ C2 22+ C123 q= ci e Q C22 22+23 03 十C23 q C1Q1+(3 C32Q2+C3Q3 or in matrix notation q2 32 Paul A Lagace @2001 Unit 21-3  MIT - 16.20 Fall, 2002 qi = generalized displacement (linear or rotation) Qi = generalized force (force or moment/torque) Note that Qi and qi are: • at the same point • have the same sense (i.e. direction) • of the same “type” (force ↔ displacement) (moment ↔ rotation) For a linear, elastic body, superposition applies, so can write: q 1 = C11 Q1 + C12 Q2 + C13 Q3 qi = Cij Qj q 2 = C21 Q1 + C22 Q2 + C23 Q3 q 3 = C31 Q1 + C32 Q2 + C33 Q3 or in Matrix Notation: q 1  C11 C12 C13  Q1        q 2  = C21 C22 C23  Q2      q 3  C31 C32 C33  Q3  Paul A. Lagace © 2001 Unit 21 - 3