Problem # p001b

Simple axial stress

A pipe carrying pressurized steam is topped off at one end with a flange/flat plate assembly as shown below.

How many bolts are needed to secure the flat endplate against the inside pressure and compress the gasket between flange and endplate by force of 1 MN ?

Diameter of bolts : d = 20 mm
Max. axial stress in bolts : = 100 MPa
Inside diameter of pipe : D = 400 mm
Pressure inside pipe : p = 3.0 MPa
HINT : Start off by drawing the Free Body Diagram of the endplate.