Mechanics of Materials II · Group assignment 2 · Problem 4
Reactions by double integration
Problem statement
For the beam shown in the figure, determine the reactions in terms of ω and L (double integration method).
Figure data: supports A, B, C and D with spans of 2L, L and 2L; distributed load of 1.5ω between A and C and 3ω between C and D; point load 2ωL at C; moments of 2ωL² at A and 3ωL² at C.
Concepts: continuous beam, reactions in terms of w and L, deflection, double integration method