ME 3752 Chapter : ME 3752 HW 2 Solution 22212
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Answer the following questions briefly: derive an expression for the mei of a butterfly valve that exhausts hot gases. Treat it in the form it is fixed at one end and opening like a cantilever. Note that besides stressing and its variation, heating and thermal problems are also involved. You may derive two separate meis or merge them into one. (15 point) (cantilever bending without thermal 10 points + thermal 5 points; thermal alone without bending analysis 10 points) Assume that a butterfly valve is like a cantilever beam under couple moment rectangular cross section of width at the free end. , and length is given by: where maximum stress (allowable bending stress) can be written: is elasticity modulus and is area moment of inertia. Therefore, is elastic section modulus and is the largest distance from the. For maximum of a butterfly valve should be maximized but should not exceed the design-limited maximum stress,
