L13 - Wall support: moment and load Design of Prisma:c...

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Shear and Bending Moment Diagrams Why do we need shear and bending moment diagrams? To determine maximum normal and shearing stresses and their respective locations– design safe beams V x M x Shear diagram Moment diagram
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P V L x L P V L x 2 1 2 1 2 1 2 1 0 = < < = < < ) 2 1 ( 2 1 4 1 2 1 2 1 2 1 0 L x P PL M L x L Px M L x = < < = < < Bending Moment Diagrams: Concentrated loads: Shear diagram – combina±on of constants Moment diagram – linear func±ons of x
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V = wx M = 1 2 wx 2 distributed loads: Shear diagram – linear func±on of x Moment diagram – 2 nd order func±ons of x
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Beam Supports Always return to 0 for shear and moment at the end of L. Simple support: concentrated load
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Unformatted text preview: Wall support: moment and load Design of Prisma:c Beams for Bending Pick the smallest weight per unit length or cross sectional area will be the least expensive and the best choice. The largest normal stress is found at the surface where the maximum bending moment occurs. S M I c M m max max = = A safe design requires: maximum normal stress be less than the allowable stress for the material used. leads to the determination of the minimum acceptable section modulus. all all m M S max min =...
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L13 - Wall support: moment and load Design of Prisma:c...

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