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## Homework Statement

Draw the bending moment diagram

the top part is the question, the bottom part is the answer.

## Homework Equations

## The Attempt at a Solution

There is a force at the wall in x and y direction and a moment ##F_x, F_y, M_w##

Sum of forces in x : ##F_x-1000=0, F_x=1000##

Sum of forces in y : ##F_y-2000=0, F_y=2000##

Sum of moments at wall, clockwise = positive : ##M_w+2000*10-5000=0,M_x=-15000##

So... I am not sure how to write the equations for moment here. I only managed to come up with this equation :

##M_x+2000(10-x)-1000*5=0## ---> ##M_x=-15000+2000x##

This equation... it works out for the entire beam... but it has to be wrong. I originally had 2 equations, one for the left and right side of the downward 2000 force, but when I realized the first equation covered the whole beam I dropped it.

I think the shear diagram is a 2000lb constant line from x=0 to x=16, so the moment diagram is the integral of that M_w+area under shear curve ##=-15000+2000*16=17000##, which is correct according to the given answer...

But how do I do this with an equation? I hate the graphical method.