Engineering student help!!

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Engineering student help!!

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Jun 10, 2010
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Nottingham
So I have my final first yr Mechanical Engineering exam on Monday! Revision is in progress but don't suppose anyone is clued up on bending beams? :bang: i.e. calculating bending moment and shear stress!? Obviously I have help online from uni and whatnot but could do with another perspective!

Cheers (y)
 
Well I haven't an exact question but basically imagine a simply supported beam (or cantilever) under load at different points, I am expected to draw diagrams of shear force and bending moment with like a horizontal axis and the diagram will go above and below at different points, this is the bit I don't really understand. I also have to revolve the static force equations ( beams are assumed to be in equilibrium)

Sorry I know this is a bit vague my brains a bit mushy due to excessive revision!!
 
what iv been told is first to draw the deformed shape, remembering at any fixed points it will be at zero,
then from this any points on inflection, when the curve changed, stand a high chance to be zero on a bending moment diagram.

now for the bending moment diagram,
work out the known knowns.
so when the beam starts in case of simply supported will be zero
if encaster just at the end.
and if its simply supported the middle is known as well.
can always put numbers on things if you are struggling alot

as you know bending moment diagram, its force . distance
shear is bending over distance.

just doing a couple of examples for you

http://s88.photobucket.com/albums/k175/daz_rich/work stuff/
gamma1
 
Last edited:
Sum of forces up = sum of forces down
Sum of forces left = sum of forces right
Sum of clockwise moments = sum of anticlockwise moments.

Remember these, you're singing.

Are your loads universally distributed, or point loads? This will effect the shape of the graph.

To draw a shear force diagram, you simply add and subtract moments.

Bending moments take into account the distance from the end you are working from, thus need to be multiplied into the equation.

UDL's create a slanting but straight line connecting points in a SFD.
UDL's create a curving arc shape between their start and finish in a BMD.

Point loads create a vertical line at the point they act, and are connected by a horizontal line, provided there are no UDL's acting between the points.
Point loads create slanting lines between two point loads in a shear force diagram, again provided there are no UDL's acting between the points.

Also, when working with a UDL in a bending moment diagram, ALWAYS remember you need to take into account where the load acts, ie, the distance from the node multiplied by half the distance from the point you are calculating from, and the start of the UDL.

Sorry if this is confusing, but it's very difficult to describe something like this without drawing it all out.

Good luck!
 
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