B di III ending III: Deflection of Beams
B di III ending III: Deflection of Beams
B di III ending III: Deflection of Beams
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
Statically Indeterminate <strong>Beams</strong>• When there are more reactions than can be solved usingstatics, the beam is indeterminate.• Take advantage <strong>of</strong> boundary con<strong>di</strong>tions to solve indeterminatei tproblems.Problem:x=0, y=0x=0, θ=0x=L, y=0Number <strong>of</strong> reactions: 3 (M A , A y , B y )Number <strong>of</strong> equations: 2 (Σ M = 0, Σ F y = 0)One too many reactions!Ad<strong>di</strong>tionally, if we solve for the deflection curve,we will have two constants <strong>of</strong> integration, whichadds two more unknowns!Solution: Boundary con<strong>di</strong>tionsSlide 12
Change language