Structural design formulas for penstocks embedded in rock
The structural design formulas for penstocks embedded in rock which are shown in 'Technical standards for gates and penstock' in Japan are described.
Allowable stresss of steel material
Welded joint efficiency
Location of welding | RT or UT carrying out for more than 5% of welded joint length |
RT or UT carrying out for less than 5% of welded joint length |
---|---|---|
Factory welding | 95% | 85% |
Site welding | 90% | 80% |
Required safety factor for buckling due to external pressure
Pipe shell
Stiffener
Design internal pressure
Definition of dimensions
Corrosion allowance
An allowance of more than or equal to 1.5mm shall be provided against corrossion and wear.
Minimum shell thickness
The minimum shell thickness used for the pressure lining part shall be more than or equal to those determined from following formula, if stiffeners are not used.
The minimum shell thickness shall not be less than 6mm even if the pipe diameter is small and stiffeners are used.
Stress calculation
Tensile stress in circumferential direction due to internal pressure
General
Internal pressure shared design by bedrock
Tensile stress in penstock axis direction
Stress due to restraint by stiffener
Stress due to temperature change
Stress due to Poisson's effect
Calculation for external presure
Without stiffener (E. Amstutz's formula)
With stiffener
Pipe shell proper (S. Timoshenko's formula)
Stiffener (E. Amstutz's formula)
That's all.