Eccentricity given 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%
✖Vertical component of force is the resolved force acting along the vertical direction.ⓘ Vertical Component of Force [F_v]			+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 given Vertical Normal Stress at Upstream Face [e_u]

⎘ Copy

👎

Formula

✖

Eccentricity given Vertical Normal Stress at Upstream Face

Formula

`"e"_{"u"} = (1-("σ"_{"z"}/("F"_{"v"}/(144*"T"))))*"T"/6`

Example

`"-18.993333"=(1-("2.5Pa"/("15N"/(144*"2.2m"))))*"2.2m"/6`

Calculator

LaTeX

Reset

👍

Download Earth Dam and Gravity Dam Formulas PDF

Eccentricity given Vertical Normal Stress at Upstream Face Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Vertical Stress at a Point: 2.5 Pascal --> 2.5 Pascal No Conversion Required
Vertical Component of Force: 15 Newton --> 15 Newton No Conversion Required
Thickness of Dam: 2.2 Meter --> 2.2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

e_u = (1-(σ_z/(F_v/(144*T))))*T/6 --> (1-(2.5/(15/(144*2.2))))*2.2/6

Evaluating ... ...

e_u = -18.9933333333333

STEP 3: Convert Result to Output's Unit

-18.9933333333333 --> No Conversion Required

FINAL ANSWER

-18.9933333333333 ≈ -18.993333 <-- Eccentricity at Upstream

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Hydraulics and Waterworks » Dams » Earth Dam and Gravity Dam » Gravity Dam » Eccentricity given Vertical Normal Stress at Upstream Face

Credits

Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 1300+ more calculators!

Verified by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has verified this Calculator and 600+ more calculators!

< 8 Gravity Dam Calculators

Total Vertical Force given Vertical Normal Stress at Downstream Face

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

Total Vertical Force for Vertical Normal Stress at Upstream Face

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

Vertical Normal Stress at Downstream Face

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

Eccentricity for Vertical Normal Stress at Downstream Face

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

Vertical Normal Stress at Upstream Face

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

Eccentricity given Vertical Normal Stress at Upstream Face

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

Density of Water given Water Pressure in Gravity Dam

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

Water Pressure in Gravity Dam

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

Eccentricity given Vertical Normal Stress at Upstream Face Formula

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

What is Safe Bearing Capacity of the Soil?

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 Eccentricity given Vertical Normal Stress at Upstream Face?

Eccentricity given Vertical Normal Stress at Upstream Face calculator uses Eccentricity at Upstream = (1-(Vertical Stress at a Point/(Vertical Component of Force/(144*Thickness of Dam))))*Thickness of Dam/6 to calculate the Eccentricity at Upstream, Eccentricity given Vertical Normal Stress at Upstream Face is defined as distance from point of application of resultant to center of base. Eccentricity at Upstream is denoted by e_u symbol.

How to calculate Eccentricity given Vertical Normal Stress at Upstream Face using this online calculator? To use this online calculator for Eccentricity given Vertical Normal Stress at Upstream Face, enter Vertical Stress at a Point (σ_z), Vertical Component of Force (F_v) & Thickness of Dam (T) and hit the calculate button. Here is how the Eccentricity given Vertical Normal Stress at Upstream Face calculation can be explained with given input values -> -18.993333 = (1-(2.5/(15/(144*2.2))))*2.2/6.

FAQ

What is Eccentricity given Vertical Normal Stress at Upstream Face?

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

How to calculate Eccentricity given Vertical Normal Stress at Upstream Face?

Eccentricity given Vertical Normal Stress at Upstream Face is defined as distance from point of application of resultant to center of base is calculated using Eccentricity at Upstream = (1-(Vertical Stress at a Point/(Vertical Component of Force/(144*Thickness of Dam))))*Thickness of Dam/6. To calculate Eccentricity given Vertical Normal Stress at Upstream Face, you need Vertical Stress at a Point (σ_z), Vertical Component of Force (F_v) & Thickness of Dam (T). With our tool, you need to enter the respective value for Vertical Stress at a Point, Vertical Component of Force & Thickness of Dam and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search