The bending moment (in $$kN$$-$$m$$ units) at the mid-span location $$X$$ in the beam with overhangs shown below is equal

The degree of static indeterminacy, $${N_s}$$ and the degree of kinematic indeterminacy, $${N_k}$$ for the plane frame shown below, assuming axial deformations to be negligible, are given by:

The two-span continuous beam shown below is subject to a clockwise rotational slip $${\theta _A} = 0.004$$ radian at the fixed end $$A.$$ Applying the slope-deflection method of analysis, determine the slope $${\theta _B}$$ at $$B.$$ Given that the flexural rigidity $$EI = 25000\,kN$$ - $${m^2}$$ and span $$L=5$$ $$m,$$ determine the end moments (in $$kN$$-$$m$$ units ) in the two spans, and draw the bending moment diagram.

The frame below shows three beam elements $$OA, OB$$ and $$OC$$, with identical length $$L$$ and flexural rigidity $$EI$$, subject to an external moment $$M$$ applied at the rigid joint $$O.$$ The correct set of bending moments $$\left\{ {{M_{OA}},\,{M_{O{\bf{B}}}},{M_{OC}}} \right\}$$