Total Vertical Force for Vertical Normal Stress at Upstream Face Calculator

✖Vertical Stress at a Point is the stress acting perpendicular to the surface.ⓘ Vertical Stress at a Point [σ_z]			+10% -10%
✖Thickness of Dam is the measurement or extent of dam from side to side.ⓘ Thickness of Dam [T]			+10% -10%
✖Eccentricity at Upstream is the distance from point of application of resultant to center of base.ⓘ Eccentricity at Upstream [e_u]			+10% -10%

✖Vertical component of force is the resolved force acting along the vertical direction.ⓘ Total Vertical Force for Vertical Normal Stress at Upstream Face [F_v]

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Total Vertical Force for Vertical Normal Stress at Upstream Face Solution

STEP 0: Pre-Calculation Summary

Formula Used

Vertical Component of Force = Vertical Stress at a Point/((1/(144*Thickness of Dam))*(1-((6*Eccentricity at Upstream)/Thickness of Dam)))
F_v = σ_z/((1/(144*T))*(1-((6*e_u)/T)))
This formula uses 4 Variables

Variables Used

Vertical Component of Force - (Measured in Newton) - Vertical component of force is the resolved force acting along the vertical direction.
Vertical Stress at a Point - (Measured in Pascal) - Vertical Stress at a Point is the stress acting perpendicular to the surface.
Thickness of Dam - (Measured in Meter) - Thickness of Dam is the measurement or extent of dam from side to side.
Eccentricity at Upstream - Eccentricity at Upstream is the distance from point of application of resultant to center of base.

STEP 1: Convert Input(s) to Base Unit

Vertical Stress at a Point: 2.5 Pascal --> 2.5 Pascal No Conversion Required
Thickness of Dam: 2.2 Meter --> 2.2 Meter No Conversion Required
Eccentricity at Upstream: -19 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_v = σ_z/((1/(144*T))*(1-((6*e_u)/T))) --> 2.5/((1/(144*2.2))*(1-((6*(-19))/2.2)))

Evaluating ... ...

F_v = 14.9948364888124

STEP 3: Convert Result to Output's Unit

14.9948364888124 Newton --> No Conversion Required

FINAL ANSWER

14.9948364888124 ≈ 14.99484 Newton <-- Vertical Component of Force

(Calculation completed in 00.004 seconds)

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< Gravity Dam Calculators

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Total Vertical Force for Vertical Normal Stress at Upstream Face Formula

LaTeX Go

Vertical Component of Force = Vertical Stress at a Point/((1/(144*Thickness of Dam))*(1-((6*Eccentricity at Upstream)/Thickness of Dam)))
F_v = σ_z/((1/(144*T))*(1-((6*e_u)/T)))

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How to Calculate Total Vertical Force for Vertical Normal Stress at Upstream Face?

Total Vertical Force for Vertical Normal Stress at Upstream Face calculator uses Vertical Component of Force = Vertical Stress at a Point/((1/(144*Thickness of Dam))*(1-((6*Eccentricity at Upstream)/Thickness of Dam))) to calculate the Vertical Component of Force, Total Vertical Force for Vertical Normal Stress at Upstream Face is defined as net force in vertical direction. Vertical Component of Force is denoted by F_v symbol.

How to calculate Total Vertical Force for Vertical Normal Stress at Upstream Face using this online calculator? To use this online calculator for Total Vertical Force for Vertical Normal Stress at Upstream Face, enter Vertical Stress at a Point (σ_z), Thickness of Dam (T) & Eccentricity at Upstream (e_u) and hit the calculate button. Here is how the Total Vertical Force for Vertical Normal Stress at Upstream Face calculation can be explained with given input values -> -15.584973 = 2.5/((1/(144*2.2))*(1-((6*(-19))/2.2))).

FAQ

What is Total Vertical Force for Vertical Normal Stress at Upstream Face?

Total Vertical Force for Vertical Normal Stress at Upstream Face is defined as net force in vertical direction and is represented as F_v = σ_z/((1/(144*T))*(1-((6*e_u)/T))) or Vertical Component of Force = Vertical Stress at a Point/((1/(144*Thickness of Dam))*(1-((6*Eccentricity at Upstream)/Thickness of Dam))). Vertical Stress at a Point is the stress acting perpendicular to the surface, Thickness of Dam is the measurement or extent of dam from side to side & Eccentricity at Upstream is the distance from point of application of resultant to center of base.

How to calculate Total Vertical Force for Vertical Normal Stress at Upstream Face?

Total Vertical Force for Vertical Normal Stress at Upstream Face is defined as net force in vertical direction is calculated using Vertical Component of Force = Vertical Stress at a Point/((1/(144*Thickness of Dam))*(1-((6*Eccentricity at Upstream)/Thickness of Dam))). To calculate Total Vertical Force for Vertical Normal Stress at Upstream Face, you need Vertical Stress at a Point (σ_z), Thickness of Dam (T) & Eccentricity at Upstream (e_u). With our tool, you need to enter the respective value for Vertical Stress at a Point, Thickness of Dam & Eccentricity at Upstream 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 Component of Force?

In this formula, Vertical Component of Force uses Vertical Stress at a Point, Thickness of Dam & Eccentricity at Upstream. We can use 1 other way(s) to calculate the same, which is/are as follows -

Vertical Component of Force = Vertical Stress at a Point/((1/(144*Thickness of Dam))*(1+((6*Eccentricity at Downstream)/Thickness of Dam)))

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