How do you calculate hydraulic cylinder force from pressure and bore?

Cylinder force (F in N) equals hydraulic pressure (P in Pascals) multiplied by the piston cross-sectional area (A = π × r² in m²): F = P × A. For a 100mm (0.1m) bore cylinder operating at 200 bar (20,000,000 Pa), force = 20,000,000 × (π × 0.05²) = 157,080 N ≈ 157.1 kN (35,314 lbf or 16.0 metric tons).

What is the formula to convert PSI to cylinder clamp force?

Force in pounds (lbf) = Pressure (PSI) × Area (square inches). A 4-inch bore cylinder has an area of π × 2² ≈ 12.57 in². At 3,000 PSI hydraulic pressure, force = 3,000 × 12.57 = 37,710 lbf (18.85 US tons).

Kilopound/sq. inch (ksi) to Terapascal (ksi to TPa) (TPa) Conversion

Rate this converter

Live Conversion • ISO 80000-4:2019 Certified

1 Kilopound/sq. inch = 6.89475729 × 10⁻⁶ Terapascal

1 ksi = 6.894757 × 10⁻⁶ TPa • 1 TPa = 145037.73773 ksi

Decimals:

Certified Authority Value

0.00000689

TPa

From / Input

ksi

Swap to Terapascal to Kilopound/sq. inch

To / Result

TPa

Quick Values:

1 ksi 5 ksi 10 ksi 25 ksi 50 ksi 100 ksi 250 ksi 500 ksi 1,000 ksi

Conversion Formula

To convert Kilopound/sq. inch to Terapascal, multiply by 6.89475729 × 10⁻⁶

ksi × 6.89475729 × 10⁻⁶ = TPa

Calculation: 1 ksi × 6.89475729 × 10⁻⁶ = 6.89475729 × 10⁻⁶ TPa

Common Kilopound/sq. inch to Terapascal Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Kilopound/sq. inch (ksi) and Terapascal (TPa).

Tap any row to calculate

Kilopound/sq. inch to Terapascal: Primary Direct Table (15 Steps)

Rule: 1 Kilopound/sq. inch is equal to 6.894757 × 10⁻⁶ TPa (Terapascal)

Kilopound/sq. inch to Terapascal Conversion Reference Table
Conversion & Equivalent Value	Scientific Notation
0.001 ksi is equal to 6.894757 × 10⁻⁹ TPa (Terapascal)	6.895 × 10⁻⁹
0.01 ksi is equal to 6.894757 × 10⁻⁸ TPa (Terapascal)	6.895 × 10⁻⁸
0.1 ksi is equal to 6.894757 × 10⁻⁷ TPa (Terapascal)	6.895 × 10⁻⁷
0.5 ksi is equal to 3.447379 × 10⁻⁶ TPa (Terapascal)	3.447 × 10⁻⁶
1 ksi is equal to 6.894757 × 10⁻⁶ TPa (Terapascal)	6.895 × 10⁻⁶
2 ksi is equal to 1.378951 × 10⁻⁵ TPa (Terapascal)	1.379 × 10⁻⁵
5 ksi is equal to 3.447379 × 10⁻⁵ TPa (Terapascal)	3.447 × 10⁻⁵
10 ksi is equal to 6.894757 × 10⁻⁵ TPa (Terapascal)	6.895 × 10⁻⁵
20 ksi is equal to 0.000137895 TPa (Terapascal)	1.379 × 10⁻⁴
25 ksi is equal to 0.000172369 TPa (Terapascal)	1.724 × 10⁻⁴
50 ksi is equal to 0.000344738 TPa (Terapascal)	3.447 × 10⁻⁴
100 ksi is equal to 0.000689476 TPa (Terapascal)	6.895 × 10⁻⁴
250 ksi is equal to 0.00172369 TPa (Terapascal)	1.724 × 10⁻³
500 ksi is equal to 0.00344738 TPa (Terapascal)	3.447 × 10⁻³
1000 ksi is equal to 0.00689476 TPa (Terapascal)	6.895 × 10⁻³

Terapascal to Kilopound/sq. inch: Reciprocal Summary

Rule: 1 Terapascal is equal to 145037.73773 ksi (Kilopound/sq. inch)

Terapascal to Kilopound/sq. inch Conversion Reference Table
Reciprocal & Equivalent Value	Scientific Notation
1 TPa is equal to 145037.73773 ksi (Kilopound/sq. inch)	1.45 × 10⁵
5 TPa is equal to 725188.688651 ksi (Kilopound/sq. inch)	7.252 × 10⁵
10 TPa is equal to 1450377.377302 ksi (Kilopound/sq. inch)	1.45 × 10⁶
50 TPa is equal to 7251886.88651 ksi (Kilopound/sq. inch)	7.252 × 10⁶
100 TPa is equal to 1.450377 × 10⁷ ksi (Kilopound/sq. inch)	1.45 × 10⁷

View Complete 15-Row Terapascal to Kilopound/sq. inch Table

Real-World Context & Everyday Benchmarks

Tap to load into converter

To help contextualize these units in everyday life, science, and engineering, here are verified real-world reference points for Kilopound/sq. inch (ksi) and Terapascal (TPa):

Kilopound/sq. inch References:

Structural steel ASTM A36 minimum tensile yield strength limit 36 ksi
High-strength structural titanium aerospace alloy tensile strength 130 ksi

Terapascal References:

Planetary interior core pressure at the center of gas giant Jupiter 4 TPa

Tap any benchmark above to automatically calculate its exact equivalent in Terapascal.

ISQ Dimension: [M L⁻¹ T⁻²] Coherent SI Unit: pascal (Pa) Chemical Engineering, Solutions & Physical Chemistry

How to Convert Kilopound/sq. inch to Terapascal

Converting Kilopound/sq. inch (Ksi) to Terapascal (TPa) is a core calculation in Pressure and Stress, which measures the perpendicular force exerted by a fluid or contact load per unit surface area. Because Terapascal is a broader physical scale than Kilopound/sq. inch, converting from Ksi to TPa condenses the numerical figure. It takes 145037.73773 Kilopound/sq. inch to equal a single Terapascal (1 Ksi = 6.894757 × 10⁻⁶ TPa). To convert any quantity, multiply by 6.894757 × 10⁻⁶ (or divide by 145037.73773).

Direct Factor1 Ksi = 6.894757 × 10⁻⁶ TPa

Inverse Ratio1 TPa = 145037.73773 Ksi

Conversion ScaleDirect Proportional Magnitude Compression

First-Principles SI Derivation ProofNIST SP 811 / ISO 80000 Compliance

Mathematical Conversion Derivation via Coherent SI Base Unit

Under the International System of Quantities (ISQ), dimensional conversion between non-SI units is rigorously resolved by bridging through the coherent SI base unit (pascal (Pa)) without arbitrary rounding:

V_{\text{target}} = V_{\text{source}} \times \left( \frac{k_{\text{source} \to \text{SI}}}{k_{\text{target} \to \text{SI}}} \right)

Universal Dimensional Conversion Law (ISO 80000 / NIST SP 811)

1. Source SI Bridge (k_source):1 Ksi = 6894757.293168 pascal (Pa)

2. Target SI Bridge (k_target):1 TPa = 1 × 10¹² pascal (Pa)

Step-by-step substitution for Kilopound/sq. inch → Terapascal:V(TPa) = V(Ksi) × ( 6894757.293168 / 1 × 10¹² ) = V(Ksi) × 6.894757 × 10⁻⁶

Mathematical FormulaValue in Terapascal = Value in Kilopound/sq. inch × 6.89475729 × 10⁻⁶Direct computational formula applied for standard conversion.

Worked Example

To convert 120 Kilopound/sq. inch (Ksi) to Terapascal (TPa): multiply 120 by 6.894757 × 10⁻⁶ to get 0.000827371 TPa. At an industrial engineering scale, 100 Ksi converts to 0.000689476 TPa.

Inverse check: 1 TPa = 145037.73773 Ksi.

Understanding Kilopound/sq. inch and Terapascal

Domain Metrology & Engineering Applications

Governing Law & Equation

Pascal's Principle of Fluid Pressure (P = F / A)

Measurement Instrumentation

Rigorously quantified in laboratory and field settings using primary deadweight piston gauges, piezoresistive silicon pressure transmitters, and Bourdon tube test gauges.

Primary Industry Sectors

Applied across aerospace hydraulic flight actuators, oil & gas pipeline monitoring, chemical autoclave pressure safety, and industrial compressed air under international metrology standard ISO 80000-4:2019, NIST SP 811.

Physical Orders of Magnitude & Laboratory Reference Benchmarks

Physical Phenomenon / Engineering Reference	Reference Value	Converted to Terapascal
Structural steel ASTM A36 minimum tensile yield strength limit	`36 ksi`	`0.000248211 TPa`
High-strength structural titanium aerospace alloy tensile strength	`130 ksi`	`0.000896318 TPa`

Institutional Metrology & Standard Authority:

Formulas, conversion coefficients, and base definitions on this page strictly adhere to the ISO 80000-4:2019, NIST SP 811 and the BIPM SI Brochure (9th Edition). Governed by Pascal's Principle of Fluid Pressure (P = F / A) under ISO 80000 dimensional vector [M L⁻¹ T⁻²].

Multi-Variable Engineering Bridge Fluid Power & Contact Mechanics

Hydraulic Cylinder & Contact Force Bridge (kN • lbf • Metric Tons • Bar • PSI • Pascals)

Calculate total thrust, clamp load, or bolt pretension from hydrostatic pressure [M L⁻¹ T⁻²] acting over cross-sectional geometry [L²] via Pascal's hydraulic principle F = P × A.

Input System Pressure (P): ksi

Select Cylinder Bore / Contact Geometry: 0.0079 m²

Coupling: F = P × A

Forward Reverse

Live Calculated Bridge Equivalent:

1 ksi at 100mm (4-inch) Standard Industrial Hydraulic Bore = 54.1514 kN

Equals 12173.7243 lbf • 5.5219 t-force • 54151.4238 N

Civil & Press Metric

54.1514

Kilonewtons

US Hydraulic Standard

12173.7243

lbf

Pounds-Force

Press Capacity

5.5219

t-force

Metric Tons Force

SI Standard

54151.4238

Newtons

US Press Rating

6.0869

ton-force (US)

Short Tons Force

Workshop Standard

5521.9084

kgf

Kilograms-Force

Step-by-Step Numerical Derivation Proof View Derivation

1. Normalize Input to SI Base Unit (Pa):
P = 1 ksi × 6894757.29316836 = 6894757.29316836 Pa
2. Apply Engineering Parameter (A):
Selected condition: 100mm (4-inch) Standard Industrial Hydraulic Bore at A = 0.007854 m²
3. Execute Governing Physical Law in SI Units:
F = P × A = (6894757.29316836) × (0.007854) = 54151.423781 N
4. Convert to Standard Engineering Units:
• kN: 54151.423781 × 0.001 = 54.1514 kN (Kilonewtons) • lbf: 54151.423781 × 0.2248 = 12173.7243 lbf (Pounds-Force) • t-force: 54151.423781 × 0.000102 = 5.5219 t-force (Metric Tons Force) • N: 54151.423781 × 1 = 54151.4238 N (Newtons) • ton-force (US): 54151.423781 × 0.0001124 = 6.0869 ton-force (US) (Short Tons Force) • kgf: 54151.423781 × 0.102 = 5521.9084 kgf (Kilograms-Force)

Explore Full Area Converter →

Engineering Substance / Operating Standard	Parameter Value (m²)	Reference State / Condition	Typical Industrial & Engineering Application
25mm (1-inch) Micro Pneumatic Bore	`0.0004909`	Area = π × (0.0125m)²	Automation grippers & electronic assembly tooling
50mm (2-inch) Medium Pneumatic Ram	`0.001964`	Area = π × (0.025m)²	Industrial packaging presses & clamping fixtures
100mm (4-inch) Standard Industrial Hydraulic Bore	`0.007854`	Area = π × (0.05m)²	Excavator booms, log splitters & machine shop presses
150mm (6-inch) Heavy Mobile Hydraulic Ram	`0.01767`	Area = π × (0.075m)²	Mining shovels, dump truck lifts & forge actuators
200mm (8-inch) Massive Press Cylinder	`0.03142`	Area = π × (0.10m)²	Automotive body stamping presses & scrap balers
Vehicle Road Contact Patch (4 Car Tires)	`0.06`	4 × 150 cm² tire patches	Total passenger tire road contact footprint
Standard M12 High-Strength Bolt Tensile Area	`8.43 × 10⁻⁵`	ISO 898-1 stress area 84.3 mm²	Flange fastener clamping stress analysis
Standard M20 Structural Bolt Tensile Area	`0.000245`	Stress area 245 mm²	Heavy structural steel framing & anchor rods
1.0 Square Meter Reference Plate Area	`1`	1.0 m × 1.0 m area	Architectural wind load & hydrostatic flood gate

Frequently Asked Questions

There are exactly 6.89475729 × 10⁻⁶ terapascals (TPa) in 1 kilopound/sq. inch (ksi). To calculate larger amounts manually, simply multiply your total number of kilopounds/sq. inch by the conversion multiplier of 6.89475729 × 10⁻⁶.

The mathematical formula to convert kilopounds/sq. inch to terapascals is: [value] * 6.89475729 × 10⁻⁶ = terapascals. Rather than doing the math manually, you can use our high-precision online calculator to process this exact equation instantly without rounding errors.

To perform the reverse calculation from terapascals back to kilopounds/sq. inch, you must divide your starting value by 6.89475729 × 10⁻⁶. Our bidirectional tool automatically computes this inverse equation the moment you type into the terapascal input field.

1 Terapascal is larger than 1 Kilopound/sq. inch. Specifically, 1 Kilopound/sq. inch equals 6.89475729 × 10⁻⁶ terapascals, meaning 1 Terapascal is 145037.7377 times larger than 1 Kilopound/sq. inch (a difference of 5.16 orders of magnitude). Expressing measurements in kilopounds/sq. inch requires a larger numerical value to represent the equivalent physical magnitude.

A typical structural steel ASTM A36 minimum tensile yield strength limit measures 36 ksi, which corresponds to 0.0002482 Terapascal (Terapascal).

Standard pressure conversions strictly designate 1 Kilopound/sq. inch as matching 6.89476 × 10⁻⁶ Terapascal. The relationship is formalised as 1 ksi = 6.89476 × 10⁻⁶ TPa.

Calculate the Terapascal derivative by multiplying the Kilopound/sq. inch measurement by 6.89476 × 10⁻⁶. The formula states: V(TPa) = V(ksi) × 6.89476 × 10⁻⁶.

Retrieve the base Kilopound/sq. inch value from a Terapascal measurement by multiplying by 1.45038 × 10⁵. Use the reverse formula: V(ksi) = V(TPa) × 1.45038 × 10⁵.

It acts as a metrological bridge for advanced materials engineers modeling extreme compressive tolerances of synthetic diamond anvils mapped back to structural steel thresholds.

Related Kilopound/sq. inch and Terapascal Conversions

Convert Kilopound/sq. inch to Other Units

Kilopound/sq. inch to Pascal Kilopound/sq. inch to Kilopascal Kilopound/sq. inch to Bar Kilopound/sq. inch to Pound/sq. inch Kilopound/sq. inch to Standard Atmosphere Kilopound/sq. inch to Exapascal Kilopound/sq. inch to Petapascal Kilopound/sq. inch to Gigapascal Kilopound/sq. inch to Megapascal Kilopound/sq. inch to Hectopascal Kilopound/sq. inch to Dekapascal Kilopound/sq. inch to Decipascal

Convert Other Units to Terapascal

Pascal to Terapascal Kilopascal to Terapascal Bar to Terapascal Pound/sq. inch to Terapascal Standard Atmosphere to Terapascal Exapascal to Terapascal Petapascal to Terapascal Gigapascal to Terapascal Megapascal to Terapascal Hectopascal to Terapascal Dekapascal to Terapascal Decipascal to Terapascal

Similar Categories

Length Converters Weight and Mass Converters Area Converters Volume Converters Speed Converters Acceleration Converters Force Converters Torque Converters Density Converters Power Converters

Popular tools