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lonlyway
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Homework Statement
the tube has ID of 450mm, t= 6mm, OD= 462mm, pressure is 1.2MPa
This is based on ASTM A36 steel, which have
Ultimate Tensile strength 400-550MPa
Yield Tensile strength 250Mpa
Modululs of Elasticity 200Gpa
Shear Modulus 79.3GPa
Determine the factor of safety at points H and K along the top of the tank and point G on the side by using a) Maximum shear stress theory, b) D.E Von Mises theory
I have skipped a prerequisite and this makes real hard on beginning... so please help me
Homework Equations
The Attempt at a Solution
What I am thinking is using pure tortion on the AD axle, and get T value
T = 0.5m x 5000N = 2500Nm or 2.5KNm
than find the moment of inertia by using J = pi(OD4-ID4)/2 = 7.1504 x 10-3 m4
at this point, I have G=79.3 x 109, J = 7.1504 x 10-3 m4, and need to find τ by using τ=pT/J = 0.231 x 2500/(7.1504 x 10-3) = 80764.71246 N/m2 which tives τxy on point H K and G
Than thinking to find stress of hoop and axial, by using
σhoop = pr/t and σaxial = pr/2t on surface, than calculate all and convert into σL and σG, H or K
which will give me max stress, than divide the max stress by the σultimate which will give me safety factor
Am I on the right track? if not, what did I do wrong?
and how should I use D.E Von Mises theory on the question?
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