I have a problem which involves me drawing the bending moment diagram for a trapezoidal distributed load. I understand the bending moment diagrams for a uniform distribution, and partially for a triangular distribution, however i am struggling to link the two for a trapezoid shape distribution. How would i go about knowing what sort of shape will be required and how to draw this?
The beam is 2.35m in total length, with a 0.1 segment at each end, and the distribution in the centre at a length of 2.15m. The 'small' side of the trapezoid is 20N/m and the longer side is 40N/m. This distribution is seen to be 'hanging' downwards from the beam, and a reaction load from another beam is situated at the far right of the beam, in the upwards direction.
The Attempt at a Solution
I think i have calculated the max moment to be 15.4084N. How would i draw this on my diagram.