Procedure of the slope deflection method The displacement boundary conditions A qualitative sketch of the deflected structure The compatibility requirements The unknown displacement quantities A slope deflection equation for each member end A rotational freedom involving the An equilibrium equation for moments acting on the joint each kinematic dof A sway freedom involving column shears and moments The equilibrium equations in terms of unknown displ. Determination of the unknown displacements End moments coming from the slope deflection equation 同榜大学 土本工程学院 13 Example 11.2 Determine the end moments and the maximum bending stress for the structure below,if point b settles 0.03m. E=200×10Pa=200GN/m2:1=2000×10-6m:d=0.3 m(beam depth) 0.03m b ab=0.03/10=0.003 c=-0.003 Compatibility and Boundary Conditions 0 and 0 are the two kinematic degrees of freedom. Moment Equations M=2EK(20+0-3)+FEM Kb=K=K=200X10-6m=200×10-7m 10m EK=200GN× m×200×107m3=40MN.m 14