Normal Stress 1 Solution

STEP 0: Pre-Calculation Summary
Formula Used
Normal Stress 1 = (Principal Stress along x+Principal Stress along y)/2+sqrt(((Principal Stress along x-Principal Stress along y)/2)^2+Shear Stress in Fluid^2)
σ1 = (σx+σy)/2+sqrt(((σx-σy)/2)^2+𝜏^2)
This formula uses 1 Functions, 4 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
Normal Stress 1 - A normal stress 1 is a stress that occurs when a member is loaded by an axial force.
Principal Stress along x - (Measured in Pascal) - Principal stress along x is stress along x-axis.
Principal Stress along y - (Measured in Pascal) - Principal stress along y is stress along y-axis.
Shear Stress in Fluid - (Measured in Pascal) - Shear Stress in Fluid refers to the unit area amount of force that acts on a given fluid parallel to a small element of the surface.
STEP 1: Convert Input(s) to Base Unit
Principal Stress along x: 100 Newton per Square Meter --> 100 Pascal (Check conversion here)
Principal Stress along y: 0.2 Newton per Square Meter --> 0.2 Pascal (Check conversion here)
Shear Stress in Fluid: 8.5 Newton per Square Meter --> 8.5 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
σ1 = (σxy)/2+sqrt(((σxy)/2)^2+𝜏^2) --> (100+0.2)/2+sqrt(((100-0.2)/2)^2+8.5^2)
Evaluating ... ...
σ1 = 100.718771221751
STEP 3: Convert Result to Output's Unit
100.718771221751 --> No Conversion Required
FINAL ANSWER
100.718771221751 100.7188 <-- Normal Stress 1
(Calculation completed in 00.020 seconds)

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12 Applications of Fluid Force Calculators

Torque given Thickness of Oil
Go Torque Exerted on Wheel = pi*Dynamic Viscosity of Fluid*Angular Velocity*(Outer Radius^4-Inner Radius^4)/2*Thickness of Oil*sin(Theta)
Normal Stress 1
Go Normal Stress 1 = (Principal Stress along x+Principal Stress along y)/2+sqrt(((Principal Stress along x-Principal Stress along y)/2)^2+Shear Stress in Fluid^2)
Normal Stress 2
Go Normal Stress 2 = (Principal Stress along x+Principal Stress along y)/2-sqrt(((Principal Stress along x-Principal Stress along y)/2)^2+Shear Stress in Fluid^2)
Shear Stress using Dynamic Viscosity of Fluid
Go Shear Stress in Fluid = Dynamic Viscosity of Fluid*(Velocity of Moving Plate on Liquid)/(Distance between Plates Carrying Fluid)
Dynamic Viscosity of Fluids
Go Dynamic Viscosity of Fluid = (Shear Stress in Fluid*Distance between Plates Carrying Fluid)/Velocity of Moving Plate on Liquid
Distance between Plates given Dynamic Viscosity of Fluid
Go Distance between Plates Carrying Fluid = Dynamic Viscosity of Fluid*Velocity of Moving Plate on Liquid/Shear Stress in Fluid
Dynamic Viscosity of Gases
Go Dynamic Viscosity of Fluid = (Constant A*Temperature^(1/2))/(1+Constant B/Temperature)
Area of Wetted Surface given Total Hydrostatic Force
Go Wet Surface Area = Hydrostatic Force/(Specific Weight 1*Depth of Centroid)
Total Hydrostatic Force
Go Hydrostatic Force = Specific Weight 1*Depth of Centroid*Wet Surface Area
Dynamic Viscosity of Liquids
Go Dynamic Viscosity of Fluid = Constant A*e^((Constant B)/(Temperature))
Friction Factor given Frictional Velocity
Go Friction Factor = 8*(Friction Velocity/Mean Velocity)^2
Torque on Shaft
Go Torque Exerted on Shaft = Force*Shaft Diameter/2

Normal Stress 1 Formula

Normal Stress 1 = (Principal Stress along x+Principal Stress along y)/2+sqrt(((Principal Stress along x-Principal Stress along y)/2)^2+Shear Stress in Fluid^2)
σ1 = (σx+σy)/2+sqrt(((σx-σy)/2)^2+𝜏^2)

What is mohr's circle?

The Mohr circle is used to find the stress components and, i.e., coordinates of any point on the circle, acting on any other plane passing through making an angle with the plane.

How to Calculate Normal Stress 1?

Normal Stress 1 calculator uses Normal Stress 1 = (Principal Stress along x+Principal Stress along y)/2+sqrt(((Principal Stress along x-Principal Stress along y)/2)^2+Shear Stress in Fluid^2) to calculate the Normal Stress 1, A normal stress 1 is a stress that occurs when a member is loaded by an axial force. The value of the normal force for any prismatic section is simply the force divided by the cross sectional area. Normal Stress 1 is denoted by σ1 symbol.

How to calculate Normal Stress 1 using this online calculator? To use this online calculator for Normal Stress 1, enter Principal Stress along x x), Principal Stress along y y) & Shear Stress in Fluid (𝜏) and hit the calculate button. Here is how the Normal Stress 1 calculation can be explained with given input values -> 100.7188 = (100+0.2)/2+sqrt(((100-0.2)/2)^2+8.5^2).

FAQ

What is Normal Stress 1?
A normal stress 1 is a stress that occurs when a member is loaded by an axial force. The value of the normal force for any prismatic section is simply the force divided by the cross sectional area and is represented as σ1 = (σxy)/2+sqrt(((σxy)/2)^2+𝜏^2) or Normal Stress 1 = (Principal Stress along x+Principal Stress along y)/2+sqrt(((Principal Stress along x-Principal Stress along y)/2)^2+Shear Stress in Fluid^2). Principal stress along x is stress along x-axis, Principal stress along y is stress along y-axis & Shear Stress in Fluid refers to the unit area amount of force that acts on a given fluid parallel to a small element of the surface.
How to calculate Normal Stress 1?
A normal stress 1 is a stress that occurs when a member is loaded by an axial force. The value of the normal force for any prismatic section is simply the force divided by the cross sectional area is calculated using Normal Stress 1 = (Principal Stress along x+Principal Stress along y)/2+sqrt(((Principal Stress along x-Principal Stress along y)/2)^2+Shear Stress in Fluid^2). To calculate Normal Stress 1, you need Principal Stress along x x), Principal Stress along y y) & Shear Stress in Fluid (𝜏). With our tool, you need to enter the respective value for Principal Stress along x, Principal Stress along y & Shear Stress in Fluid and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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