Max Vertical Direct Stress Distribution at Base Calculator

✖Total vertical force forces that act in the vertical plane, which is perpendicular to the ground.ⓘ Total Vertical Force [Σ_v]			+10% -10%
✖Base width is the maximum thickness or width of a dam measured horizontally between upstream and downstream faces and normal to the axis.ⓘ Base Width [B]			+10% -10%
✖Eccentricity of Resultant Force is a force that does not pass through the Centre of gravity of the body on which it acts or through a point at which the body is fixed.ⓘ Eccentricity of Resultant Force [e]			+10% -10%

✖Vertical direct stress Is the Direct sheer stresses are felt by a body when a force acts in the tangential direction of the surface.ⓘ Max Vertical Direct Stress Distribution at Base [ρ_max]

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Formula

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Max Vertical Direct Stress Distribution at Base

Formula

`"ρ"_{"max"} = ("Σ"_{"v"}/"B")*(1+(6*"e"/"B"))`

Example

`"103.04kN/m²"=("1400kN"/"25m")*(1+(6*"3.5"/"25m"))`

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Max Vertical Direct Stress Distribution at Base Solution

STEP 0: Pre-Calculation Summary

Formula Used

Vertical Direct Stress = (Total Vertical Force/Base Width)*(1+(6*Eccentricity of Resultant Force/Base Width))
ρ_max = (Σ_v/B)*(1+(6*e/B))
This formula uses 4 Variables

Variables Used

Vertical Direct Stress - (Measured in Pascal) - Vertical direct stress Is the Direct sheer stresses are felt by a body when a force acts in the tangential direction of the surface.
Total Vertical Force - (Measured in Newton) - Total vertical force forces that act in the vertical plane, which is perpendicular to the ground.
Base Width - (Measured in Meter) - Base width is the maximum thickness or width of a dam measured horizontally between upstream and downstream faces and normal to the axis.
Eccentricity of Resultant Force - Eccentricity of Resultant Force is a force that does not pass through the Centre of gravity of the body on which it acts or through a point at which the body is fixed.

STEP 1: Convert Input(s) to Base Unit

Total Vertical Force: 1400 Kilonewton --> 1400000 Newton (Check conversion here)
Base Width: 25 Meter --> 25 Meter No Conversion Required
Eccentricity of Resultant Force: 3.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ρ_max = (Σ_v/B)*(1+(6*e/B)) --> (1400000/25)*(1+(6*3.5/25))

Evaluating ... ...

ρ_max = 103040

STEP 3: Convert Result to Output's Unit

103040 Pascal -->103.04 Kilonewton per Square Meter (Check conversion here)

FINAL ANSWER

103.04 Kilonewton per Square Meter <-- Vertical Direct Stress

(Calculation completed in 00.006 seconds)

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< 7 Structural Stability of Gravity Dams Calculators

Shear Friction Factor

Go Shear Friction = ((Coefficient of Friction between Two Surfaces*Total Vertical Force)+(Base Width*Average Shear of Joint))/Horizontal Forces

Maximum Height in Elementary Profile without Exceeding Allowable Compressive Stress of Dam

Go Minimum Possible Height = Allowable Compressive Stress of Dam Material/(Unit Weight of Water*(Specific Gravity of Dam Material-Seepage Coefficient at Base of Dam+1))

Minimum Vertical Direct Stress Distribution at Base

Go Minimum Vertical Direct Stress = (Total Vertical Force/Base Width)*(1-(6*Eccentricity of Resultant Force/Base Width))

Width of Elementary Gravity Dam

Go Base Width = Height of Elementary Dam/sqrt(Specific Gravity of Dam Material-Seepage Coefficient at Base of Dam)

Max Vertical Direct Stress Distribution at Base

Go Vertical Direct Stress = (Total Vertical Force/Base Width)*(1+(6*Eccentricity of Resultant Force/Base Width))

Maximum Possible Height when Uplift is Neglected in Elementary Profile of Gravity Dam

Go Maximum Possible Height = Allowable Compressive Stress of Dam Material/(Unit Weight of Water*(Specific Gravity of Dam Material+1))

Sliding Factor

Go Sliding Factor = Coefficient of Friction between Two Surfaces*Total Vertical Force/Horizontal Forces

Max Vertical Direct Stress Distribution at Base Formula

Vertical Direct Stress = (Total Vertical Force/Base Width)*(1+(6*Eccentricity of Resultant Force/Base Width))
ρ_max = (Σ_v/B)*(1+(6*e/B))

What is the Eccentricity value?

The eccentricity ranges between one and zero. If the eccentricity is one, it will be a straight line and if it is zero, it will be a perfect circle. The formula to determine the eccentricity of an ellipse is the distance between foci divided by the length of the major axis.

What are the types of Direct Stress?

Direct stress is divided into some categories depending upon the action of force along the surface. The type of stress is tensile stress, compressive stress, shear stress, and thermal stress.

How to Calculate Max Vertical Direct Stress Distribution at Base?

Max Vertical Direct Stress Distribution at Base calculator uses Vertical Direct Stress = (Total Vertical Force/Base Width)*(1+(6*Eccentricity of Resultant Force/Base Width)) to calculate the Vertical Direct Stress, The Max Vertical Direct Stress Distribution at Base formula is defined as direct shear stresses that are felt by a body when a force acts in the tangential direction of the surface. Vertical Direct Stress is denoted by ρ_max symbol.

How to calculate Max Vertical Direct Stress Distribution at Base using this online calculator? To use this online calculator for Max Vertical Direct Stress Distribution at Base, enter Total Vertical Force (Σ_v), Base Width (B) & Eccentricity of Resultant Force (e) and hit the calculate button. Here is how the Max Vertical Direct Stress Distribution at Base calculation can be explained with given input values -> 0.10304 = (1400000/25)*(1+(6*3.5/25)).

FAQ

What is Max Vertical Direct Stress Distribution at Base?

The Max Vertical Direct Stress Distribution at Base formula is defined as direct shear stresses that are felt by a body when a force acts in the tangential direction of the surface and is represented as ρ_max = (Σ_v/B)*(1+(6*e/B)) or Vertical Direct Stress = (Total Vertical Force/Base Width)*(1+(6*Eccentricity of Resultant Force/Base Width)). Total vertical force forces that act in the vertical plane, which is perpendicular to the ground, Base width is the maximum thickness or width of a dam measured horizontally between upstream and downstream faces and normal to the axis & Eccentricity of Resultant Force is a force that does not pass through the Centre of gravity of the body on which it acts or through a point at which the body is fixed.

How to calculate Max Vertical Direct Stress Distribution at Base?

The Max Vertical Direct Stress Distribution at Base formula is defined as direct shear stresses that are felt by a body when a force acts in the tangential direction of the surface is calculated using Vertical Direct Stress = (Total Vertical Force/Base Width)*(1+(6*Eccentricity of Resultant Force/Base Width)). To calculate Max Vertical Direct Stress Distribution at Base, you need Total Vertical Force (Σ_v), Base Width (B) & Eccentricity of Resultant Force (e). With our tool, you need to enter the respective value for Total Vertical Force, Base Width & Eccentricity of Resultant Force 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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