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Quiz 11 Solution

# Quiz 11 Solution - 14185 W 16.00-18.00 Name EM 319 Fall...

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14185 - W 16.00-18.00 Name: __________________________ EM 319 – Fall 2011 Quiz 11 A pressurized cylinder has a helical weld at an angle α = 30° as shown in the figure. The tank has a radius r = 0.5 m, wall thickness t = 20 mm, and internal pressure p = 3 MPa. First, find the circumferential and longitudinal stresses, then transform the stresses to show the normal and shear stresses acting on a stress element that is aligned with the weld. p 3 10 6 := α 30 π 180 := r 0.5 := t 0.02 := σ y p r t := σ x p r 2 t := σ y 7.5 10 7 × = σ x 3.75 10 7 × = τ xy 0 := θ π 2 α := σ xp σ x σ y + 2 σ x σ y 2 cos 2 θ ( ) + τ xy sin 2 θ ( ) + := σ yp σ x σ y + 2 σ x σ y 2 cos 2 θ ( ) τ xy sin 2 θ ( ) := τ xyp σ x σ y ( ) 2 sin 2 θ ( ) τ xy cos 2 θ ( ) + := σ xp 6.563 10 7 × = σ yp 4.688 10 7 × = τ xyp 1.624 10 7 × =

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14202 - W 18.00-20.00 Name: __________________________ EM 319 – Fall 2011 Quiz 11 A pressurized cylinder has a helical weld at an angle α = 20° as shown in the figure. The tank has a radius r = 0.75 m, wall thickness t = 10 mm, and internal pressure p = 3.5 MPa. First, find the circumferential
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