Vertical Pressure given Resultant Force Calculator

✖The Resultant Force is defined as the total net force of various forces acting on an object.ⓘ Resultant Force [P_n]			+10% -10%
✖horizontal pressure is the pressure applied in the horizontal direction due to backfill is called the horizontal pressure.ⓘ Horizontal Pressure [dH]			+10% -10%

✖Vertical Pressure is the pressure applied in the vertical direction due to self weight of a member is called the vertical pressure.ⓘ Vertical Pressure given Resultant Force [dv]

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Formula

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Vertical Pressure given Resultant Force

Formula

`"dv" = sqrt("P"_{"n"}^2-"dH"^2)`

Example

`"5.161395N/m²"= sqrt(("11.7N")^2-("10.5N/m²")^2)`

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Vertical Pressure given Resultant Force Solution

STEP 0: Pre-Calculation Summary

Formula Used

Vertical Pressure = sqrt(Resultant Force^2-Horizontal Pressure^2)
dv = sqrt(P_n^2-dH^2)
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Vertical Pressure - (Measured in Newton per Square Meter) - Vertical Pressure is the pressure applied in the vertical direction due to self weight of a member is called the vertical pressure.
Resultant Force - (Measured in Newton) - The Resultant Force is defined as the total net force of various forces acting on an object.
Horizontal Pressure - (Measured in Newton per Square Meter) - horizontal pressure is the pressure applied in the horizontal direction due to backfill is called the horizontal pressure.

STEP 1: Convert Input(s) to Base Unit

Resultant Force: 11.7 Newton --> 11.7 Newton No Conversion Required
Horizontal Pressure: 10.5 Newton per Square Meter --> 10.5 Newton per Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

dv = sqrt(P_n^2-dH^2) --> sqrt(11.7^2-10.5^2)

Evaluating ... ...

dv = 5.16139516022557

STEP 3: Convert Result to Output's Unit

5.16139516022557 Pascal -->5.16139516022557 Newton per Square Meter (Check conversion here)

FINAL ANSWER

5.16139516022557 ≈ 5.161395 Newton per Square Meter <-- Vertical Pressure

(Calculation completed in 00.004 seconds)

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National Institute of Technology (NIT), Warangal

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< 7 Total Pressure on Curved Surface Calculators

Total Pressure on Elementary Area

Go Pressure = Specific Weight of Liquid in Piezometer*Vertical Depth*Cross-Sectional Area

Resultant Force by Parallelogram of Forces

Go Resultant Force = sqrt(Horizontal Pressure^2+Vertical Pressure^2)

Horizontal Pressure given Resultant Force

Go Horizontal Pressure = sqrt(Resultant Force^2-Vertical Pressure^2)

Vertical Pressure given Resultant Force

Go Vertical Pressure = sqrt(Resultant Force^2-Horizontal Pressure^2)

Direction of Resultant Force

Go Theta = 1/tan(Vertical Pressure 1/Horizontal Pressure)

Vertical Pressure given Direction of Resultant Force

Go Vertical Pressure = tan(Theta)*Horizontal Pressure

Horizontal Force given Direction of Resultant Force

Go Horizontal Pressure = Vertical Pressure/tan(Theta)

Vertical Pressure given Resultant Force Formula

Vertical Pressure = sqrt(Resultant Force^2-Horizontal Pressure^2)
dv = sqrt(P_n^2-dH^2)

What is meant by Horizontal Pressure?

Horizontal Pressure is the pressure acting on a particular member in a horizontal direction due to backfill, as molecules are pulled down by gravity and look for escape sideways.

How to Calculate Vertical Pressure given Resultant Force?

Vertical Pressure given Resultant Force calculator uses Vertical Pressure = sqrt(Resultant Force^2-Horizontal Pressure^2) to calculate the Vertical Pressure, The Vertical Pressure given Resultant Force is defined as the force per unit area exerted vertically by a resultant force acting on a surface, calculated by dividing the magnitude of the resultant force by the surface area. Vertical Pressure is denoted by dv symbol.

How to calculate Vertical Pressure given Resultant Force using this online calculator? To use this online calculator for Vertical Pressure given Resultant Force, enter Resultant Force (P_n) & Horizontal Pressure (dH) and hit the calculate button. Here is how the Vertical Pressure given Resultant Force calculation can be explained with given input values -> 5.161395 = sqrt(11.7^2-10.5^2).

FAQ

What is Vertical Pressure given Resultant Force?

The Vertical Pressure given Resultant Force is defined as the force per unit area exerted vertically by a resultant force acting on a surface, calculated by dividing the magnitude of the resultant force by the surface area and is represented as dv = sqrt(P_n^2-dH^2) or Vertical Pressure = sqrt(Resultant Force^2-Horizontal Pressure^2). The Resultant Force is defined as the total net force of various forces acting on an object & horizontal pressure is the pressure applied in the horizontal direction due to backfill is called the horizontal pressure.

How to calculate Vertical Pressure given Resultant Force?

The Vertical Pressure given Resultant Force is defined as the force per unit area exerted vertically by a resultant force acting on a surface, calculated by dividing the magnitude of the resultant force by the surface area is calculated using Vertical Pressure = sqrt(Resultant Force^2-Horizontal Pressure^2). To calculate Vertical Pressure given Resultant Force, you need Resultant Force (P_n) & Horizontal Pressure (dH). With our tool, you need to enter the respective value for Resultant Force & Horizontal Pressure and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Vertical Pressure?

In this formula, Vertical Pressure uses Resultant Force & Horizontal Pressure. We can use 1 other way(s) to calculate the same, which is/are as follows -

Vertical Pressure = tan(Theta)*Horizontal Pressure

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