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## Lesson 21. SOLVING NUMERICAL

Module 4. Beams and bending moments Lesson 21 SOLVING NUMERICAL
A beam made of cast iron having a section of 50 mm external diameter and 25 mm internal diameter is supported at two points 4 m apart. The beam carries a concentrated load of 100 N at its centre. Find the maximum bending stress induced in the beam.
Outer diameter of cross-section D Inner diameter of cross-section D Length of spam ‘L’ = 4 m Load applied W = 100 N For a simply supported beam with point load at center For AC M When x = 0, MA = 0 At x = L/2 M By symmetry M From bending equation σ/y = M/I, where s is bending or flexure stress M is bending moment , I is moment of inertia, y is the distance of point from neutral axis. σ = M.y/I = M(D σ = (100 × 100) × (50/2) / π/64 ((50 σ = 8.692 N/mm |