Solving Shear and Bending Moment for a Beam

AI Thread Summary
The discussion revolves around calculating shear and bending moment diagrams for a 1.4m beam with various loads. The user is struggling to obtain consistent bending moment values, particularly at x=0.7m, despite multiple attempts. A key issue identified is incorrect reaction forces due to a failure to check equilibrium. After realizing this mistake, the user acknowledges the oversight and expresses gratitude for the assistance. The conversation highlights the importance of verifying calculations in structural analysis.
NBAJam100
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Homework Statement



For the beam and loading, draw the shear and bending moment diagrams. Find the max and min abs vals of shear and bending moment.
+= pointing upwards, - = pointing downwards
The beam is 1.4m long.
Load A = -.54kN at x=0,
Load B= pin support at x=.2m (Found to be +1.8kN)
load C= -1.35kN, x= .7m
load D= roller support at x= 1.1m (Found to be .63kN)
load E= -.54 kN at x= 1.4m

The Attempt at a Solution



Im shooting myself in the foot over this because its so simple and I've reworked it about 500 times and keep getting conflicting answers... The bending moment should be the same for the same point regardless of what side i take it from, but i keep getting different values...
going from left end of beam, fixing right side.
From 0<x<.2 --> B.M = -540*x
From .2<x<.7 --> B.M = -540*x + 1800*(x-.2)

Now go from right side, fixing left end.

From 0<x<.3 --> B.M = -(540)*x
From .3<x<.7 --> B.M = -540*x + 630*(x-.3)

I am getting conflicting values for x=.7m for my bending moment... what am i doing wrong, someone please help before i go crazy...
 
Last edited:
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NBAJam100: Your reaction forces are incorrect. You forgot to check equilibrium to ensure your reactions are correct. First, rework the problem to obtain the correct reaction forces. Then everything should work out fine.
 
ahhh wow, i totally looked right past that. bleh, thanks a lot nvm.
 

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