Question

Determine the slope (g) and deflection (AB) of Point B in terms of El. P = 12 kN and L = 9 m. Use the Moment-Area Method. Theorem 1: The angle between the tangents at any two points on the elastic curve equals the area under the M EI diagram between these two points. ALI Theorem 2: The vertical distance between the tangent at a point (A) on the elastic curve and the tangent extended from another point (B) equals the moment of the area under the M/El diagram between these two points (A and B). This moment is calculated about the point (A) where the vertical distance (A/B) is to be determined.

Answer 1

Q] Cantilever Becem, (Moment Area Method Given - 12 KN - Lagm Full B find of YB For this Method, we need to draw Moment - (M/62) diagram 3PL Hection un downward NET ca - (Hogging B.ME)ve) 1. So, Slope & deflection un rection. for slope at B e Area ofse aB : 1x3PL xl at Distana from Centroid » for Deflection B YB = Area of DeaB x centroidal - 4x3 x4 x 24 distana

Put value of P = 12 kN & d=9m in OB & B 08 = 3x 12000X (332 4EI OB - 729000 EI Yo = Pd² REI ) = 12000 x 2 EI YA : 4374000 EI