Maximum bending moment?

Question

What exactly is a maximum bending moment?

Is it the maximum bend a structure (in my case, a sheet pile) can withstand without failure?

Please help! thank you~

Answer 1

Bending moment is the bending force- a load perpendicular to the section being analyzed times the distance to the load. So if your arm is 3 feet long and you hold a 10 pound weight in your hand, then (ignoring the weight of your arm) the bending moment at the shoulder is 30 foot-pounds.

Usually max bending moment refers to the highest bending moment in a structure for a given load condition. It's not necessarily the maximum capability of the structure- you would calculate that by determining the stress in the structure by the equation

f= M*c/I

where M= moment
c= distance from centroid of the cross section
I= moment of inertia of the section- a function of its shape.

For strain, you divide the stress by the modulus of elasticity.

You then compare allowable stress (or strain) against applied. Piece of cake!

Answer 2

The maximum bending moment is the actual maximum bending moment due to an actual applied load condition, that a structural member is subjected to.

Answer 3

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first draw a shear force diagram. the maximum bending moment will be when shear force = 0 find the distance to that point and work out the total of any moments up to this point (force load 1 x safety factor x distance from point) + (force load 2 x safety factor x distance from point) +(................