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Compute the shear buckling coefficient for a long, simply-supported, rectangular plate. As an approximation use
in conjunction with the Galerkin integral approach. Why must such a pattern be chosen, instead of the simpler forms we use for compressive loading? Why do we stipulate a long plate? An exact answer for the infinite plate, minimized with respect to an aspect ratio Λ = b/(a/m) = (plate width)(axial buckle length) is kcrit = 5.35.
Consider a cylindrical titanium wire 3.0 mm in diameter and 2.5 x 104 mm long. Calculate its elongation when a load of 500N is applied, assuming that the deformation is totally elastic.
two steel i-beams each with a mass of 100 kg are welded together at right angles and lifted by vertical cables so that
consider a concentric tube annulus for which the inner and outer diameter are 25 and 50 mm. water enters the annular
a thin-walled cylindrical gas vessel has a mean radius of 3 ft and a wall thickness of 12 in. the yield stress of the
Consider the torsion of a rod that is 1 m long and 50 mm in diameter. A. If one end of the rod were twisted by 1.2? relative to the other end, what would be the largest principal strain on the surface?
Consider a model of a building whose base moves as a result of an earthquake. The building can be modeled as a single-degree-of-freedom spring-mass system where the building mass is lumped on top of two beams used to model the walls of the building.
at the beach atmospheric pressure is 1025 mbar. you dive 15 m down in the ocean and you later climb a hill up to 250 m
you balanced a pump impeller by placing a 5 gram weight at a radius of 100 mm. the original vibration amplitude was 10
Find the natural frequency of vibration of the system for small displacements when the mass is 600 (instead of 500).
a thin plate heater is attached to the higher surface of 8 mm thickness aluminum horizontal plate which has thermal
Estimate the torsional rigidity of a rectangular shaft 2a × 2b using as a coordinate function cos (πx/2a) cos (πy/2b). What is the maximum stress? Get D/G for a/b = 1 and a = 1.
the constant tensions of 200 n and 160 n are applied to the hoisting cable as shown. if the velocity v of the load is
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