Here you can find pre-built calculation and design templates from all kinds of different disciplines and areas. You can use them as is or duplicate them into your own workspaces and make them your own!

Templates

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Calculation templates

Welcome to the Physics library, here we have calculations and content for general physics concepts all the way through to topic areas like fluid mechanics and thermodynamics!

Orbital Mechanics Calculator

Physics Calculations

Free-To-Use Physics Calculations: Make Complex Physics Problems Easy with CalcTree. Get Accurate Results in No Time! Start using now! 

Orbital velocity and period are an integral part of space mission design that is affected by key parameters such as the apogee and perigee of the spacecraft's orbit. This orbital mechanics calculator can help you the orbital velocity and period of a spacecraft in any circular or elliptical orbit around the Earth.

Orbital Velocity (Apogee) km/s

Orbital Velocity (Perigee) km/s

Orbital Period

Eccentricity

Perigee and apogee are terms used in orbital mechanics to describe the closest and farthest points, respectively, between an object and the primary body it orbits. Perigee represents the point of closest proximity, while apogee denotes the farthest distance in the object's orbit.

 of the spacecraft in orbit is found using:

The orbital velocity of the spacecraft at any point in the orbit is found using:

The orbital period in hours of the spacecraft is found using:

Master Orbital Mechanics with our free-to-use orbital mechanics calculator! Calculate satellite orbits and trajectories easily at CalcTree. Try now!

Orbital Mechanics Calculator - CalcTree

With this equation, the moments of inertia of a composite shape, which is made up of multiple elementary shapes, can be found. The moment of inertia of each individual shape about its own centroidal axis is found first; then, the parallel axis terms are added to determine the moment of inertia of the composite area.  

For composite shapes made up of smaller shapes or subparts, the moment of inertia for the entire cross-section is equivalent to the sum of the moments of inertia of the individual shapes, 1, 2 and 3, about the global N.A. in the diagram shown here.

If there are any holes or voids within the cross sections, their moment of inertia must also be calculated but subtracted from the total. 

Moment of Inertia Calculators

Accurately calculate the moment of inertia on CalcTree. Free-To-Use online moment of inertia calculator. Try now!

Moment of Inertia Calculator Online

This calculation tool is designed to help you quickly and accurately determine the slenderness ratio. 

The slenderness ratio or slenderness is the ratio of effective length to the least radius of gyration and it is calculated using the formula 

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Slenderness Ratio Calculator

Calculate slenderness ratio effortlessly on CalcTree. Free-to-Use Slenderness Ratio Calculator for Structural Analysis. Calculate now!

Slenderness Ratio Calculator 

Welcome to our strain and deformation calculator! This page will show you how to calculate strain as well as provide some insight into each of the relevant equations required to do so. 

Strain is the amount of deformation experienced by the body in the direction of force applied i.e. due to stress. It is defined as the ratio of change in shape to its original shape. The following equation determines the relation for deformation in terms of the length of a solid

Strain Calculator

Calculate strain in materials with ease on CalcTree. Free-to-use Engineering Strain Calculator. Get started now

Material Strain Calculator - 

This page provides some insight into determining stress, and provides some functions to help you calculate it!

Stress is defined as a force that changes the shape of an object. The units of stress are Pascals (Pa) or Newton per square metre (N/m^2), and is calculated according to the following formula

To use this as a shear stress calculator simply use the cross-sectional area parallel to the plane of the imposed force.  

Stress Calculator

Calculate stress with ease on CalcTree. Free-to-Use Online  Stress Calculator. Take control of your engineering analysis. Calculate now!

Engineering Stress Calculator Online 

Engineering Stress Calculator

This calculation tool is designed to help you quickly and accurately determine the hydraulic depth of a flowing body of water.

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The Froude number, Fr, is a dimensionless value that describes different flow regimes of open channel flow. The Froude number is a ratio of inertial and gravitational forces.

It's used in fluid dynamics to measure the relative importance of gravity and inertia forces in a flow.  The Froude Number can range from 0 to infinity, with 0 representing a flow with no inertia and infinity representing a flow with no gravity.

The Froude number is calculated as the ratio of the inertial force of the flow to the gravitational force of the flow.

The hydraulic depth can be solved by rearranging the formula to solve for flow depth. This is shown below:

Froude Number Calculator: Open Channel Flow

Calculate accurate open channel flow on CalcTree. Free-to-Use Froude Number Calculator to enhance your fluid mechanics knowledge. Get started today!

Froude Number Calculator - Open Channel Flow 

Bernoulli Equation Calculator: Volume Flow Rate 

Bernoulli Equation Calculator | Calculate Mass Flow Rate

Bernoulli Calculator

Free-To-Use Bernoulli Equation Calculator: Calculate Mass Flow Rate for Fluid Mechanics Problems with Ease. Simplify Your Work with CalcTree!

This template explores Hooke's Law both in general terms, and in the context of spring constants, it's most common usage.

Hooke's law can of course be rearranged to solve for each variable. Below presents a calculation to solve for F. Remember to account for the direction of your deflection and units...

Go ahead and duplicate this page to change it up and solve for k or s!

Hooke's law states that the strain/deformation of an elastic object or material is proportional to the stress applied to it. 

In this context, Hooke's Law is expressed as:

Hooke's Law

🏁 CalcTree's Free-to-use Hooke's Law Calculator to determine the force needed to extend or compress a spring. Input calculation values. Start now 💡

General

Fluid Mechanics