The cylindrical pressure vessel has an inner diameter of 750 mm and a wall thickness of 9 mm. The vessel is constructed by welding steel plate along a helix at 50° from the longitudinal axis. If the internal gage pressure is 15 MPa, 50 (a) draw a neat Mohr's circle for the state of stress at a point on the welded seam, (b) use the Mohr's circle to determine the normal stresses and the shear stress acting parallel and perpendicular to the seam, (c) sketch the state of stress on an element aligned with the seam.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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The cylindrical pressure vessel has an inner diameter of 750 mm and a wall thickness of 9 mm. The vessel is constructed by welding steel plate along a helix at 50° from the longitudinal axis. If the internal gauge pressure is 1.5 MPa:

(a) Draw a neat Mohr’s circle for the state of stress at a point on the welded seam.

(b) Use the Mohr’s circle to determine the normal stress and the shear stress acting parallel and perpendicular to the seam.

(c) Sketch the state of stress on an element aligned with the seam.

**Diagram Description:**

The diagram shows a cylindrical vessel with a helical seam at a 50° angle to the longitudinal axis. The seam is illustrated as a line wrapping around the cylinder at the specified angle.
Transcribed Image Text:The cylindrical pressure vessel has an inner diameter of 750 mm and a wall thickness of 9 mm. The vessel is constructed by welding steel plate along a helix at 50° from the longitudinal axis. If the internal gauge pressure is 1.5 MPa: (a) Draw a neat Mohr’s circle for the state of stress at a point on the welded seam. (b) Use the Mohr’s circle to determine the normal stress and the shear stress acting parallel and perpendicular to the seam. (c) Sketch the state of stress on an element aligned with the seam. **Diagram Description:** The diagram shows a cylindrical vessel with a helical seam at a 50° angle to the longitudinal axis. The seam is illustrated as a line wrapping around the cylinder at the specified angle.
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