Determine the internal normal force shear force and bending

Determine the internal normal force, shear force, and bending moment at point E in the beam. There is a hinge at Point C There is NOT a hinge at Point E Point E is midway between A and B The support at A only resists moment, not vertical or horizontal force

Solution

This beam has a hinge and is staticaly determinate:

Hinge will not have moment.

Separate into two sections for analysis: PART to left of hinge and part to Right of hinge

Right side:moments about hinge:==> D=0

Left side: Ma- 3B+150*7=0, B+C=0 ==> B=150 up, Ma= 600

Ma is directed in opposite direction to Moment at B. So the moment line will cross from negative to positive ( or vice versa depending on sign convention). At point E (midpt of AB, the moment line intersects at 0.

Since momnet there is 0, the shear and deflection are also zero.