# Moment

Point moment at position a

From Roark, the end rotations for a point load at are

Letting the distance from end 1 be these equations can be rewritten

Varying load from with intensity and .

Using the equations above from Roark the end rotations for a point moment at are

Using these and integrating over the element gives

As with the forces the moment intensity can be written as


Substituting equation 6 in 4 for end 0


Substituting equation 6 in 5 for end 1


Roark Formulas for Stress and Strain, Table 3 (3.e)