Using Macauley’s Method we have that:

.

Now we solve

.

First using the fact that :

Now as the ends are fixed, :

Now we look at : the deflection at is zero:

(A)

Now as the ends are fixed, :

(B)

.

Put this into (A):

kN

kN m

Any confusion about this not confirming to reality will result in the fact that I never explicitly said what orientation () we were using. What we are certainly using are

and ,

although even then we could use

…

You will be given the equation to use in the test and exam.

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