Calculate shear force and bending moments with a UDL and a point load

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Ben_Walker1978
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Homework Statement
Bending Moments, Shear Force
Relevant Equations
Bending Moments, Shear Force
Hello,

I am looking for some help. I have completed the question below. I will show my answers.

Encastre Question.png

My answer:
Encastre Answer - 1.png

Encastre Answer - 2.png
Encastre Answer - 3.png


I believe this to be correct. If it is not would appreciate someone letting me know so i can correct.

Now i am attempting this question:

Encastre Question - 2.png


Could anyone help, or point me in the right direction so i can them calculate the point load?

I understand how it would look on the Shear force diagram. But not sure how to show the calculations, or calculate the bending diagram.

Any help much appreciated.
 
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I am not sure I understand your concern. The shear and bending moment diagrams for the UDL case look good. For a point load at the center of the beam, 1/2 of the point load goes to each reaction . For the bending moments at the ends and center, you look them up in a table like you did for the UDL case. Then add 'em up for the total combined shear and moment (UDL plus Point Load).
 
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Yes that is what i wanted to know.

Thank you for your help.