thermal expansion

2
When an object is heated or cooled, its length changes by an amount proportional to the original length and the change in temperature. Linear thermal expansion of an object can be expressed as dl = L0 α (t1 - t0) Where dl = change in length m L0 = initial length m 5.034m α = linear expansion coefficient m/m o C t0 = initial temperature o C (Standard Temperature) t1 = final temperature o C (Operating Temperature) 0.833m Thermal Expansion for one annular plate L0 - initial length =5 m (while considering the length of annular plate radially outwards) α - linear expansion coefficient=0.000012 m/m o C (API 650 ANNEX P Table: P.1a) t0 - initial temperature = 13 o C, as per the design data t1 - final temperature = 45 o C, as per the design data dl=5.034 x 0.000012x (45-13) = 0.001933056m = 1.93mm While Considering the breadth of the plate L0 - initial length =0.833 m (while considering the breadth of annular plate radially outwards) α - linear expansion coefficient=0.000012 m/m o C t0 - initial temperature = 13 o C, as per the design data t1 - final temperature = 45 o C, as per the design data dl=0.833 x 0.000012x (45-13) = .0003198m = 0.3198 mm

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Page 1: Thermal Expansion

When an object is heated or cooled, its length changes by an amount proportional to the original length and the change in temperature. Linear thermal expansion of an object can be expressed as

dl = L0 α (t1 - t0)

Where

dl = change in length m

L0 = initial length m 5.034m

α = linear expansion coefficient m/moC

t0 = initial temperature oC (Standard Temperature)

t1 = final temperature oC (Operating Temperature) 0.833m

Thermal Expansion for one annular plate

L0 - initial length =5 m (while considering the length of annular plate radially outwards)

α - linear expansion coefficient=0.000012 m/moC (API 650 ANNEX P Table: P.1a)

t0 - initial temperature = 13 oC, as per the design data

t1 - final temperature = 45 oC, as per the design data

dl=5.034 x 0.000012x (45-13) = 0.001933056m = 1.93mm

While Considering the breadth of the plate

L0 - initial length =0.833 m (while considering the breadth of annular plate radially outwards)

α - linear expansion coefficient=0.000012 m/moC

t0 - initial temperature = 13 oC, as per the design data

t1 - final temperature = 45 oC, as per the design data

dl=0.833 x 0.000012x (45-13) = .0003198m = 0.3198 mm

Page 2: Thermal Expansion

While considering the anchor blot slot on the annular plate

L0 - initial length =0.072m (while considering the annular plate anchor blot slot radially outwards)

α - linear expansion coefficient=0.000012 m/moC

t0 - initial temperature = 13 oC, as per the design data

t1 - final temperature = 45 oC, as per the design data

dl=0.072 x 0.000012x (45-13) = 0.0000276 = 0.0276mm

Reference: http://www.engineeringtoolbox.com/linear-thermal-expansion-d_1379.html

As per drawing

Anchor blot requires 6mm clearance all around

6mm

Site Condition

Physically 2-3mm clearance all around

2-3mm