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A Physical Picture of the Relaxation Process
Rectangular Coordinates and Length of a Bar
Extension of a Bar
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14 table 15 ton ft A. E. Williams additional reaction amount B.Sc bar FM beam BC beam theory bending action bending moment diagram built-in beam calculated cantilever clockwise couple clockwise direction columns deflections desired degree displacement distributing factors Eldy/dx ENGINEERING equilibrium external moments FACTORY final solution fixed end moments fixed in position fixing moments foot forces induced gives Hardy Cross horizontal force horizontal movement horizontal reactions influence coefficients initial moments J. R. Finniecome liquidated load is applied M.Eng millionths modulus of elasticity moments and reactions moments due move joint ponent radian redundant members Relaxation Methods RELAXATION OF CONSTRAINTS required to relax residual force shear force shown in Fig shown in line sidesway simple simultaneous equations single joint movements Southwell span statically determinate structure Suppose the bar taking moments tension coefficient tion ton/ft uniformly distributed load Unit Problem vertical constraint vertical forces vertical jacks