Q4_Solution_CH5

Q4_Solution_CH5 - 2. Using equations 4.48a and 4.48b, the...

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Solution: EML 4501 Section 02; Machine Design; Quiz 4; 10/07/03 A 10 mm inner-diameter steel tube carries liquid at 7 MPa. The steel has S y = 400 MPa. Determine the safety factor for the wall if its thickness is 5mm. Assume the tubing is long and therefore carries no axial stresses. τ max 9.33 MPa = max σ 1 3 - 2 = The maximum shear stress is 3 7.00 - MPa = 3 r = 2 0 MPa = 1 11.67 MPa = 1 t = 3. Determine the principal stresses (since, for this choice of coordinates, the shear stress is zero), r 7.00 - MPa = r r i 2 p i r o 2 r i 2 - 1 r o 2 r i 2 - = Radial stress t 11.67 MPa = t r i 2 p i r o 2 r i 2 - 1 r o 2 r i 2 + = Tangential stress r o 10 mm = r o r i t + = Outside radius r i 5 mm = r i 0.5 ID = Inside radius
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Unformatted text preview: 2. Using equations 4.48a and 4.48b, the stresses are maximum at the inside wall where Since the ratio is greater than 0.1, this is a thick wall problem. ratio 1 = ratio t 0.5 ID = 1. Check wall thickness to radius ratio to see if this is a thick or thin wall problem. 4. Calculate the von Mises effective stress using equation (5.7c). ' b 1b 2 1b 3a -3b 2 + = ' b 16.336 MPa = 5. Using the distortion energy theory, the factor of safety is N b S y ' b = N b 24.5 =...
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