introduction of PRESSURE VESSELS and piping

RahulRakhade 62 views 24 slides Sep 18, 2024
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About This Presentation

Pressure Vessels: Pressure vessels are containers designed to hold gases or liquids at a pressure substantially different from the ambient pressure. They are essential in various industries, including chemical, petrochemical, oil and gas, power generation, and food processing. Their design, fabricat...


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PRESSURE VESSELS

PRESSURE VESSELS Cylinder Cylinder is a mechanical device used for storing ,receiving processing the fluid . Cylinder may be Pressure vessel Storage vessel Pipe Engine cylinder Cylindrical Pressure Vessel Thin Cylinder :- If The ratio of d i / t > 15 Thick cylinder :- if the ratio d i / t < 15

Stresses in Thin Cylinder Circumferential or Hoop Stress , σ t Longitudinal Stress, σ l Radial Stress, σ r Radial stress is equal to internal pressure at inner surface and zero at outer surface. Forces due to internal pressure are balanced by shear stresses in wall.

Thickness of Thin Cylinder It is observed that circumferential stress is twice the longitudinal stress By Considering longitudinal and circumferential joints equation is modified as, η c = Efficiency of Circumferential Joint η l = Efficiency of Longitudinal Joint

Stresses in Thin Spherical Vessels Circumferential or Hoop Stress : Thickness of Pressure Vessel The Capacity of the Spherical Vessel,

Thick Cylinders Considering Equilibrium of vertical forces acting on half portion of ring, It is assumed that longitudinal stress is constant over the cylinder wall thickness. The longitudinal strain e l ……..a

Thick Cylinders The modulus of elasticity E, Poisson's ratio v , longitudinal strain are constant. Therefore right hand side is constant and is denoted by 2A Subtract equation ( a) from ( b) By Integrating We get, B = constant of integration ………………………….b

Thick Cylinders We can write as, Substitute in equation ( c) in equation.. ( b) The A and B can find by using following boundary condition, At, ………………………………c

Thick Cylinders We get, By Substitute value of B, We get By substituting A and B,

Thick Cylinders Putting Boundary following Condition, At,

Thick Cylinders The longitudinal stress, by considering forces in axial direction,

Thick Cylinders Sr. NO. Principal Stress Inner Surface Outer Surface 1. Circumferential Stress 2. Radial Stress 3. Longitudinal Stress

Pre- Stressing of Thick Cylinders Autofrettage Wire Wound Cylinders Tape Wound Cylinders Compound Cylinders

Wire Wound Cylinders Tape Wound Cylinders

Compound Cylinders

Stress Distribution in Compound Cylinder

Residual Stresses Due to Shrink Fit Sr. No. Parameter Residual Stress at Inner Surface Residual Stress at Outer Surface Jacket (Outer Cylinder) 1. σ t 2. σ r -p (Inner Cylinder) 1. σ t 2. σ r -p

1. Increase in Inner Diameter of Jacket (Outer Cylinder) 2. Decrease in Outer Diameter of Inner Cylinder

Classification of Unfired Pressure Vessel Class 1 Class 2 Class 3

Types of Welded Joints in Used Pressure Vessel

Categories of Welded Joints in Unfired Pressure Vessel Category A Category B Category C Category D

Materials Used for Unfired Pressure Vessel Cast Irons Plain Carbon Steels Alloy Steels Aluminum Steels Copper and Copper Alloys Nickel and Nickel Alloys

Selection of Design Parameters for Unfired Pressure Vessels Maximum Working Pressure ( P max ) Design Pressure (P i ) P i = 1.05 P max Hydrostatic Test Pressure ( P b ) P b = 1.3 P i Allowable Stress, Corrosion Allowance (c) As per IS code As per ASME code As per DIN code

Stress in Thin Cylinder Forces due to internal pressure are balanced by shear stresses in wall Horizontal section: Vertical section: Similar equations can be derived for other geometries such as heads (see Ch 13)  H  L Longitudinal stress,  L Hoop stress,  H Inside diameter, D Wall thickness, t Height, h
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