Mechanics Exam Review 2

Mechanics Exam Review 2 - where the value of the function...

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Statistically Indeterminate a) statically indeterminate beams occur when the number of unknown reactions exceeds the available number of equilibrium equations Boundary Conditions a) the constants of integration are determined by evaluating the functions for shear, moment, slope or displacement at a particular point on the beam where the value of the function is known b) several possible boundary conditions that are often used: a. if beam is supported by a roller or a pin so displacement is required to be zero at these points b. if supports are located at the end of the beams, the internal moment must be zero c. at fixed support, the slope and displacement are both zero, whereas the free ended beam has both zero moment and zero shear. d. If two segments of a beam are connected by an internal pin or hinge, the moment must be zero at this connection Continuity Conditions a) the constants of integration are determined by evaluating the functions for shear, moment, slope or displacement at a particular point on the beam
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Unformatted text preview: where the value of the function is known b) if there are two different x coordinate systems, the moment must be the same at the same point on each x location c) slope and deflection must be the same at each x d) theta(1)=theta(2) and v(1)=v(2) Primary Beam a) remove the redundant support reactions just to get the primary beam b) statically determinate, and stable and is subjected to only the external load Redundant reactions a) additional support reactions that are not needed to keep the beam or shaft in equilibrium are called redundants, number of redundants is referred to as the degree of indeterminancy Critical load a) the maximum axial load that a column can support when it is on the verge of buckling is called the critical load Effective Length a) distance between the zero moment points on a column can be found using an effective length factor...
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