I have set up this page to provide downloads of some of my calculation sheets. Anyone who wishes to test out the calculation sheets is welcome to do so. Change the input values inside the blue rectangles and see how the results change accordingly.

If you intend to used calculation sheets in a professional capacity. I would appreciate an attribution to indicate this website “The Enviro Engineer”. Click the images in the drop-down areas below to download the SMath calculation sheets. There is also a link on each drop-down to view the calculation sheet as a portable document file (PDF).

## SMath live documents

Click to download file – This sheet provides a set of sample calculations to determine the size of a hydro-pneumatic accumulator required to store additional hydraulic fluid and avoid the need for a larger pump for the hydraulic system. The model assumes the gas change will be very rapid and there will be adiabatic expansion.

Click to download file – This calculation sheet provides a set of practical mathematical equations for estimating the area, perimeter, diagonals and centroid of common geometric plane figures. A description and diagrams of these geometric figures are shown on the Mensuration page of this website.

Click to download file – Since the earliest time, people have wanted to know how much water could flow through an open channel or closed pipe. Knowing the velocity of a water flow allowed them to determine how large the pipes or channel needed to be to pass the required flow. This might be to allow water to irrigate crops or to supply drinking water to a city. This sheet shows some equations used since the 18th century to estimate the channel flow velocity.

Click to download file – Hydraulic computations to determine the mean channel flow velocity and maximum flow capacity in a trapezoidal channel of known size, calculated using the Manning’s equations

Click to download file -This sheet provides a set of practical hydraulic formulae for estimating hydraulic pump or motor geometric flow rates, shaft torque and hydraulic power. The calculation sheet gives examples of formulae without using a programme such as MathCad or SMath Desktop with units built in and the same equations, but with units included in the calculation.

## PDF Files

Click to open PDF file – A sample of a calculation to determine the size of a hydro-pneumatic accumulator required to store additional hydraulic fluid and avoid the need for a larger pump for the system. Since the gas change is very rapid, there will be adiabatic expansion.

Click to open PDF file – The branch of mathematics which deals with the study of various parameters of geometric figures such as areas, perimeters, volumes etc.

Click to open PDF file – The Development of the Empirical Formulae for River velocity

Click to open PDF file  – Hydraulic computations to determine the mean channel flow velocity and maximum flow capacity in a trapezoidal channel of known size, calculated using the Manning’s equations

Click to open PDF file – How to calculate the geometric flow rate of a hydraulic pump/motor and hydraulic cylinders. How to calculate the theoretical shaft torque, shaft power or hydraulic power.

## Online Files

Hydro-pneumatic Accumulators – A sample of a calculation to determine the size of a hydro-pneumatic accumulator required to store additional hydraulic fluid and avoid the need for a larger pump for the system. Since the gas change is very rapid, there will be adiabatic expansion.

Mensuration – The branch of mathematics which deals with the study of various parameters of geometric figures such as areas, perimeters, volumes etc.

Open Channel Flow – The Development of the Empirical Formulae for River velocity

Manning’s – Hydraulic computations to determine the mean channel flow velocity and maximum flow capacity in a trapezoidal channel of known size, calculated using the Manning’s equations

Power and Motion – How to calculate the geometric flow rate of a hydraulic pump/motor and hydraulic cylinders. How to calculate the theoretical shaft torque, shaft power or hydraulic power.