Question

6 use the force method to determinee the reactions at the supports, draw. A is fixed B is a rollen El-constant B 요 101 the diagrams 15k A 1011

Answer 1

Ques) To determine the reactions and EI - constant L = 20 diagrams 15 KN =p B Tour 10' 10' Hay 15 KN B HA ti Tvos A K 10' 10' IP =103125 kn 16 52 16 40687 KN shear force diagram 46.875 kN-inch 5PL 32 3PL 16 =56.25-inch བ བཀའ་ Bending moment diagram Assume reactions at 4: HA- horizontal reaction VA - Vertical reaction MA - moment at a Scanned with B: Ve - vertical geaction CamScanner CS

By Moment Area method :- static indeterminacy g beam = 3-2 = 1 reaction at 'B' is ve and condition available is 40 =0 ΕΙ The Bending moment diagsiams divided are shown due to (P = 15 kW) and VB Źla) 42 >k PL 2 EI for p VEL for vel EI 43 243 ion at B=0 Since deflection =) deviation of point 'B' from the tangent at A is zen10 B with respect to 'A' toa = deflection on Area diagsiam times the shortest distance som the point 'B' to the vertical line through centroid diagram 8 M di EI 1 g M EI Ź Ź . PL 2 EI (+375)] + 2x. Lx 18.4 Vo:4 (3:30 5P 16 V8 V8 = 5x15 4.6875 KN ICS Scanned with 16 CamScanner

Vertical geaction at A VA + Vo =P VA P-51 58/16 VA lip 16 VA 1/X 15 10.3125 KN 16 Moment at A = MA = P x < - 56 Х L MA 3PL 16 MA = 3 x 15 x 20 16 56.25 KN inch Bending moment at mid point 5P 16 Х L 2 5PL 32 5x15x20 32 46.875 KN inch CS Scanned with CamScanner