ME85-Lecture24

# ME85-Lecture24 - Who wants to win a million dollars \$10,000 Question(a(b(c We have three box-beams with the same cross section and same nail

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Who wants to win a million dollars ?

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We have three box-beams with the same cross section and same nail spacing. Assume that the shear force on a given cross-section is also the same. Q: which cross section design will have the least shear force acting on the nails ? (A) Design (a); (B) Design (b); (C) Design ( c); (D) Or Design (b) and (c ). (a) (b) (c) \$10,000 Question
\$100,000 Question

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(3) \$500,000 Question :
\$1,000,000 Question

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Lecture 24 Beam Deflection and Singularity Function

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How to integrate beam deflection ?

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() 2 1 0 0 C x C dx x M dx y EI x x + + = Constants are determined from boundary conditions More complicated loadings require multiple integrals and application of requirement for continuity of displacement and slope. Three cases for statically determinant beams, Simply supported beam 0 , 0 = = B A y y Overhanging beam 0 , 0 = = B A y y Cantilever beam 0 , 0 = = A A y θ
Direct Integration of the Elastic Curve From the Load Distribution Equation for beam displacement becomes () x w dx y d EI dx M d

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## This note was uploaded on 01/21/2012 for the course C 85 taught by Professor Papadopoulos during the Spring '08 term at University of California, Berkeley.

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ME85-Lecture24 - Who wants to win a million dollars \$10,000 Question(a(b(c We have three box-beams with the same cross section and same nail

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