Total Vertical Force given Vertical Normal Stress at Downstream 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 Downstream is the distance from point of application of resultant to center of base.ⓘ Eccentricity at Downstream [e_d]			+10% -10%

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

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Total Vertical Force given Vertical Normal Stress at Downstream 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 Downstream)/Thickness of Dam)))
F_v = σ_z/((1/(144*T))*(1+((6*e_d)/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 Downstream - Eccentricity at Downstream 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 Downstream: 19 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_v = σ_z/((1/(144*T))*(1+((6*e_d)/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 00.020 seconds)

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< Gravity Dam Calculators

Total Vertical Force given Vertical Normal Stress at Downstream Face

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

Vertical Normal Stress at Downstream Face

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

Density of Water given Water Pressure in Gravity Dam

LaTeX Go Water Density = Water Pressure in Gravity Dam/0.5*(Height of Section^2)

Water Pressure in Gravity Dam

LaTeX Go Water Pressure in Gravity Dam = 0.5*Water Density*(Height of Section^2)

Total Vertical Force given Vertical Normal Stress at Downstream Face Formula

LaTeX Go

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

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Safe bearing capacity of soil field test is done to check the capacity of the soil to withstand loads .The maximum load per unit area which the soil can bear without any displacement or settlements is designated as the “Safe bearing capacity of the soil.”

How to Calculate Total Vertical Force given Vertical Normal Stress at Downstream Face?

Total Vertical Force given Vertical Normal Stress at Downstream Face calculator uses Vertical Component of Force = Vertical Stress at a Point/((1/(144*Thickness of Dam))*(1+((6*Eccentricity at Downstream)/Thickness of Dam))) to calculate the Vertical Component of Force, Total Vertical Force given Vertical Normal Stress at Downstream 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 given Vertical Normal Stress at Downstream Face using this online calculator? To use this online calculator for Total Vertical Force given Vertical Normal Stress at Downstream Face, enter Vertical Stress at a Point (σ_z), Thickness of Dam (T) & Eccentricity at Downstream (e_d) and hit the calculate button. Here is how the Total Vertical Force given Vertical Normal Stress at Downstream Face calculation can be explained with given input values -> 14.99484 = 2.5/((1/(144*2.2))*(1+((6*19)/2.2))).

FAQ

What is Total Vertical Force given Vertical Normal Stress at Downstream Face?

Total Vertical Force given Vertical Normal Stress at Downstream Face is defined as net force in vertical direction and is represented as F_v = σ_z/((1/(144*T))*(1+((6*e_d)/T))) or Vertical Component of Force = Vertical Stress at a Point/((1/(144*Thickness of Dam))*(1+((6*Eccentricity at Downstream)/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 Downstream is the distance from point of application of resultant to center of base.

How to calculate Total Vertical Force given Vertical Normal Stress at Downstream Face?

Total Vertical Force given Vertical Normal Stress at Downstream 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 Downstream)/Thickness of Dam))). To calculate Total Vertical Force given Vertical Normal Stress at Downstream Face, you need Vertical Stress at a Point (σ_z), Thickness of Dam (T) & Eccentricity at Downstream (e_d). With our tool, you need to enter the respective value for Vertical Stress at a Point, Thickness of Dam & Eccentricity at Downstream 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 Downstream. 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 Upstream)/Thickness of Dam)))

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