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Torricelli’s Principle

Torricelli's Principle

Torricelli’s Law

A tank with a circular hole of diameter d and at a depth h discharges water at a rate of Q.
The discharge rate is derived from Torricelli’s Principle and given by:

Q=Acdot sqrt{2cdot gcdot h}

where
Q =discharge rate (m³/s)
h =depth of water (m)
A =area of opening (m²)
g =acceleration due to gravity (9.81 m/s²)

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Bolt axial force vs torque

Bolt axial force vs torque

The torque required to tighten the bolt:

T=Kcdot Fcdot d

Where:

T:            Torque (N.m)

K:            Torque coefficient

F:            Axial preload force (N)

d:            Nominal bolt diameter (mm)

The torque coefficient:

K=0.5cdot left ( frac{lcdot cosalpha +pi cdot dcdot mu }{pi cdot dcdot cosalpha -lcdot mu } right )+0.625 cdot mu _{c}

Where:

l:             Lead (mm)

α:           Half angle of the screw thread (°)

d:            Nominal bolt diameter (mm)

µ:            Thread friction coefficient

µc:          Collar friction coefficient

Common torque coefficient values for µ=µc=0.15:

Bolt condition    K
Non plated black finish steel bolts 0.3
Mild steel bolts 0.2
Zinc plated steel bolts 0.2
Lubricated steel bolts 0.18
Cadmium plated steel bolts 0.16
With bowman anti-seize 0.12
With bowman-grip nuts 0.09

 

It is estimated that roughly 90% of the input energy is lost in overcoming the mating friction under the head (collar) and between the thread or nut and its mating threads.  Consequently only the remaining 10% of input energy is turned into bolt stretch.

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Cantilever snap joint

Cantilever snap joint

Bayer – Snap-Fit joints for plastics

 

 

This calculation is for a snap-fitting hook of rectangular cross section.There are two types which can be choosen for the calculation. Type 1 is a snap-fitting hook of a constant rectangular cross section and Type 2 is a snap-fitting hook of rectangular cross section with a constant decrease in thickness from h at the root to h/2 at the end of the hook. Young modulus and Yield strength of the material have to be choosen. The Deflection Force is the force required to bend the arm the value of the introduced deflection (y). Introducing the friction coefficient of the material and the angle of the arm according with the shape represented in picture, the mating force is calculated. This is the force required for introducing the snap-fitting hook. The calculus allows to ensure that the yield strength of the material won’t be exceeded as long as the safety coeficient is higher that 1. This calculation is an approximation because of we are only taking into account the shear due to bending.

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NPSH – Net Positive Suction Head

NPSH - Net Positive Suction Head

The NPSH is related to the problem of cavitation. Cavitation means that the liquid pumped vaporizes within the pump which causes breakdown of suction column and head, loud noise, heavy vibration leading to erosion or pitting and possibly destruction of the impellers. The condition for operation without cavitation is:

NPSHa > NPSHr

Where:

NPSHa: NPSH available, of the plant.

NPSHr: NPSH required, of the pump. Lower value of NPSHr means greater the suction capability.

Usually is used a safety allowance of 0.5m.

 

NPSHa=10^{5}cdot frac{( P-Vp )}{rho cdot g}pm S-H

P: Gas pressure. If the suction tank is open the gas pressure correspond to the atmospheric pressure (1 bar).

Vp: Vapour pressure of the fluid pumped at a given temperature.

ρ: Density of the fluid pumped.

g: gravitational constant 9.81 m/s2

S: Suction head. Vertical distance between suction tank and pump center line. (- ) for operation under suction lift conditions and (+) for operation under flooded suction conditions.

H: Head loss for the maximum flow in pipes, bends and valves on the suction side due to friction.

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Pipe pressure drop

Pipe pressure drop

Darcy friction factor formulae

Neutrium – Theory

 

This calculator performs Pressure Drop Calculations for pipework. Additionaly, related parameters such as Reynolds, fluid velocity, average residence time, etcetera are presented. The Pressure Drop calculation takes into account other components as well. It requests the user for input about bends, elbows and other appendages/equipment components, which induce extra pressure loss. The program represents the total resistance in terms of equivalent pipe length values.

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Thread identification guide

Thread identification guide

STEP 1

Determine if the thread is tapered or parallel/straight.

Measure the thread with a caliper at the beginning and the end. If the diameters increase for a male end or decrease for a female end, the thread is tapered. If it is the same value the thread is straight/parallel.

STEP 2

Determine the thread size and type. Imperial sizes are normally common fractions ¼”=0.25”.

Measure the outside diameter OD for male and inside ID for female threads.

If the thread is tapered measure the diameter of 4th or 5th full thread.

The diameter measurement obtained in this step may not be exactly the same as the listed nominal size for the given thread. This variation is due to manufacturing tolerances.

STEP 3

Determine the pitch for metric or the amount of threads per inch (T.P.I) for imperial sizes.

In both cases Thread pitch gauges can be used.

TPI 28 27 24 20 19 18  16  14  12 11.5 11 8
Thread pitch (mm) 0.91 0.94 1.06 1.27  1.34  1.4  1.59  1.81  2.12 2.21 2.31 3.18

Check for any markings on fitting or equipment which may be a clue to thread type. Country of origin may provide a clue.

Europe (DIN,BSP), America (NPT, JIC, UNO, ORFS), UK/Australia (BSP), Japan (JIS).

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Thread types

Thread types

SymbolAngleParallel/taperedStandardDescriptionApplication
A/B60°ParallelDIN 4503, ISO 1222Tripod connection threadConnections to photografic equipment.
ACME-C29°ANSI B1.5 (1977)Acme thread centralizing
ACME-G29°ANSI B1.5 (1977)Acme thread general purpose
AMO55°ANSI B1.11 (1958)American standard microscope objective thread
ANPT60°MIL-P-7105Aeronautical national form taper pipe thread
API60°American national taper form thread for petroleum installations
BA47°30'BS93 (1951)British association thread
BSC60°BS811 (1950)British norm thread for bicycles
BSF55°ParallelBS84 (1956)Whithworth fine thread
BSW55°ParallelBS84 (1956)Whithworth coarse thread
E-DIN 40400, DIN 49612, DIN 49610, DIN 49625Edison form threadElectrical thread.
EG M60°ParallelDIN 8140-2Metric ISO thread for helical coil wire screw thread insertsFor wire thread inserts.
EG-UNC60°ParallelMS 33537Unified coarse thread series for helical coil wire screw thread inserts
EG-UNF60°ParallelASME B18.29.1Unified fine thread for helical coil wire screw thread inserts
FG60°ParallelDIN 79012Bicycle threadFor cycles and motor-scooters.
G55°ParallelDIN ISO 228, DIN 6630Pipe parallel ISO threadFor pressure tight joints are not made on the thread. External and internal pipe thread. Packaging; external thread for barrels.
G55°ParallelBS2779 (1973)Pipe whitworth thread (BSP)parallel
GfTaperedDIN 4930Round tapered threadTubes and tunneling
Gg60°Tapered (1:16)DIN 4941Tapered threadFor drill pipes in water and rock drilling, mining.
Gg30°-30°Tapered (1:4)DIN 20314Tapered threadFor drill pipes in water and rock drilling, mining.
GL30°-60°ParallelDIN 168-1Cylindrical round threadFor glass containers.
Glasg30°-50°ParallelDIN 40450Glasg thread for glassElectric industry: glass fittings, protection glasses.
HA-HBDIN 58810Bone screw threadFor surgical implants, external and internal thread.
KT20°ParallelDIN 6063Trapezoidal threadPreferably for packages made of plastics.
LN60°ParallelLN 9163, EN 2158ISO Metric thread for aviationAviation and aerospace.
M60°ParallelDIN 13, DIN 14, ISO 68, DIN 6630, LN 9163, DIN 2510Metric coarse ISO threadGeneral engineering, watches, fine work, packaging; external thread for barrels, aviation, aerospace and bolted connections with reduced shank.
M60°Tapered (1:16)DIN 158Taper metric ISO threadPlugs and grease nipples.
MF60°ParallelDIN 13, DIN EN 60423Metric fine ISO thread
MFS60°ParallelDIN 8141-1ISO Metric thread for tight fit
MJ60°ParallelDIN ISO 5855Metric ISO thread for aeronauticsAviation and aerospace.
N60°ANSI B1.1 (1960)American national 8-12-16 TPI pitch series (8N, 12N, 16N)
N-BUTT45°+5°ANSI B1.9 (1973)American BUTTRESS thread
NC60°ANSI B1.1 (1960)American national coarse thread series
NEF60°ANSI B1.1 (1960)American national extra fine thread series
NF60°ANSI B1.1 (1960)American national fine thread series
NGO60°ANSI/ASME-B1.20.1 (1983)National gas outlet thread (specify RH or LH)
NGS60°ANSI/ASME-B1.20.1 (1983)National gas straight thread
NGT60°ANSI B57.1 (1977)National gas taper thread (see also SGT)
NH60°ANSI B2.4 H28 (1966)American national firehouse and hose coupling thread
NPS60°American standard straight pipe thread NSPC & NPSM
NPSC60°ANSI/ASME-B1.20.1 (1983)American standard straight pipe thread in pipe couplings (marked NPS)
NPSF60°ANSI B1.20.3 (1976)Dryseal American standard internal straight pipe thread (fuel)
NPSH60°ANSI/ASME-B1.20.1 (1983)American standard straight pipe thread for hose couplings
NPSI60°ANSI B1.20.3 (1976)American standard intermediate internal straight pipe thread
NPSL60°ANSI/ASME-B1.20.1 (1983)American standard straight pipe thread for loose-fitting mechanical joints
NPSM60°ANSI/ASME-B1.20.1 (1983)American standard straight pipe thread for free-fitting mechanical joints
NPT60°Tapered (1:16)ANSI/ASME-B1.20.1 (1983)American standard tapered pipe thread For threads with dryseal material.
NPTF60°Tapered (1:16)ANSI B1.20.3 (1976)American standard tapered pipe thread (fuel)For threads without dryseal material.
NPTR60°ANSI/ASME-B1.20.1 (1983)American standard taper pipe thread for railing joints (tap market NPT)
NS60°ANSI B1.1 (1960)American national thread special pitches
Pg80°ParallelDIN 40430Steel electrical conduit threadFor electric installations.
PTF60°ANSI B1.20.1 (1976) Dryseal SAE short taper pipe thread
R55°ParallelDIN 259Pipe parallel whitworth threadFor pressure tight joints are not made on the thread. Piping, do not use in new designs.
R55°Tapered (1:16)BS21 (1985), DIN EN 10226-1, ISO 7-1, DIN 2999, DIN 3858External dryseal pipe taper thread (BSPT)Tapered Whitworth pipe thread where pressure-tight joints are made on the threads.
Rc55°Tapered (1:16)BS21 (1985), DIN EN 10226-1, ISO 7-1Internal dryseal pipe taper thread (BSPT)Tapered Whitworth pipe thread where pressure-tight joints are made on the threads.
Rd30°ParallelDIN 405, DIN 20400, DIN 15403, DIN 7273Rounded threadGeneral, for mining industry, for lifting hooks, for steel sheet items and related joints.
RMS55°ParallelDIN 58888RMS-threadObjective for microscope.
Rp55°ParallelDIN 2999, DIN 3858Internal dryseal parallel threadInternal thread for pipes and fittings.
Rp55°ParallelBS21 (1973), DIN EN 10226-1, ISO 7-1Pipe parallel thread (BSPP)Cylindrical Whitworth pipe thread where pressure-tight joints are made on the threads.
S30°+3°ParallelDIN 513, DIN 20401Saw form threadGeneral. Mining industry.
S45°ParallelDIN 2781Saw form threadFor machine tools, hydraulic presses.
S105°Tapered (7°30')DIN 71412Self forming taper external threadTaper lubricating nipple. Similar to DIN 158 but 105° thread angle.
SBManufacturers stovebolt standards thread
SGT60°ANSI B57.1 (1977)Special gas taper thread
SPL-PTF60°ANSI B1.20.3 (1976)Dryseal special taper pipe thread
ST60°ParallelDIN 7970, DIN EN ISO 1478Sheet metal screw threadFor tapping screws.
STI60°Special thread for helical coil wire screw thread inserts
STUB-ACME29°ANSI B1.8 (1977)Stub Acme thread
Tr30°ParallelDIN 103, DIN 380, DIN 263, DIN 6341, DIN 30295Trapezoidal threadGeneral, for rail vehicles, for collet chucks.
UN60°ANSI B1.1 (1982)Unified 8-12-16 TPI pitch series
UN-860°ASME B1.1Unified thread for special diameters and pitches
UNC60°ANSI B1.1 (1982)Unified coarse thread series
UNEF60°ANSI B1.1 (1982)Unified extra fine thread series
UNF60°ANSI B1.1 (1982)Unified fine thread series
UNJ60°BS 4048 (1978)Unified constant pitch with a 0,15011P to 0,18042P controlled root radius
UNJC60°BS 4048 (1978), ASME B1.15Unified coarse thread with a 0,15011P to 0,18042P controlled root radius
UNJEF60°BS 4048 (1978)Unified extra fine thread with a 0,15011P to 0,18042P controlled root radius
UNJF60°BS 4048 (1978), ASME B1.15Unified fine thread with a 0,15011P to 0,18042P controlled root radius
UNM60°ASA B1.10 (1958)Unified miniature thread series
UNS60°ANSI B1.1 (1982)Unified thread special pitches
V60°60° "V" thread with truncated crest and root(flatted to the user's specifications)
Vg60°ParallelDIN 7756Valves threadValves for tires.
W55°ParallelDIN 477Parallel whitworth threadCylindrical thread for side connections.
W keg55°Tapered (3:25)DIN 477, DIN EN 144-1, DIN EN 629-1, DIN EN ISO 11116-1Tapered thread for screw socketsGas cylinders, thread for side nozzles.

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Cylinder air consumption

Cylinder air consumption

This calculator is valid for simple and double effect. For simple effect the value provide by the calculator  has to be divided by 2.
Leakage is not taken into the calculator.

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