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ME 323: Mechanics of Materials Quiz 12 Name: PUID: Q1 (10 points). The cylindrical pressure vessel has an inner radius of 1.25 m and a wall thickness of 20 mm. It is made from steel plates that are welded along the 45 o seam. If the pressure vessel is subjected to an internal pressure of 8 MPa, (a) Determine the axial and hoop stress (σ a and σ h ), and draw the stress element at point A. (b) Determine the three principal stresses and the absolute maximum shear stress at point A. (c) Sketch the in-plane Mohr’s circle for point A. Use Mohr’s circle to determine the normal stress (σ n ) and shear stress (τ nt ) along the seam.

ME 323: Mechanics of Materials Quiz 12

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Page 1: ME 323: Mechanics of Materials Quiz 12

ME 323: Mechanics of Materials Quiz 12

Name: PUID:

Q1 (10 points). The cylindrical pressure vessel has an inner radius of 1.25 m and a wall thickness of 20mm. It is made from steel plates that are welded along the 45o seam. If the pressure vessel is subjected toan internal pressure of 8 MPa,

(a) Determine the axial and hoop stress (σa and σh), and draw the stress element at point A.(b) Determine the three principal stresses and the absolute maximum shear stress at point A.(c) Sketch the in-plane Mohr’s circle for point A. Use Mohr’s circle to determine the normal stress (σn)

and shear stress (τnt) along the seam.

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Page 2: ME 323: Mechanics of Materials Quiz 12