Question

Q3 (25 points): Based on the Euler-Bernoulli beam theory; a) Perform a convergence study in terms of transverse deflection through the body of the beam, and compare the numerical solutions for various number of elements (3, 6, 9 and 12 elements) by plotting a figure b) Calculate the maximum stress for various number of elements (3, 6, 9 and 12 elements) 90 = 50 N/cm L, 2EI L, EI L, 3E1 L = 50 cm, El = 4x106 Nm

Answer 1

Acording to Euler - Bernouli's Beano theory diz: EI . M= Internal moment Assume The plan section remains plane Condelever beans, which having udd, moment at the =w (91?-38°) SONIM w L2 da = 4 (2 – 3x) die SS3 (92) 55W-320 L3EI Scanned with CamScanner

A3 = 5WL D3 SEI By values it means it depends the Et ratio elasticity depends on deflection A LA LA © Maximum stress as -. Max. shear stress Zmar = 30 xellug X. n P a 3. - QW - QX50 2X/m²

obi b ab2 = ab are same Max stress is same for all element = anlam?