Mechanics of Materials II · Group assignment 2 · Problem 3
Statically indeterminate beam by double integration
Problem statement
Before the loads are applied to the joist, there is a small 2 mm gap between the beam and the support under C. Find all the support reactions after the load is applied. Use E = 10 GPa and I = 20 × 10⁶ mm⁴ (double integration method).
Figure data: 4 kN·m moment at A, 16 kN point load at B, 8 kN/m distributed load between C and D, 4 kN load and 4 kN·m moment at E. Segments of 1 m, 1.5 m, 6 m and 1.5 m.
Concepts: statically indeterminate beam, support gap, deflection, reactions, joist
