Modulus of Elasticity given Deflection at Top Due to Concentrated Load Solution

STEP 0: Pre-Calculation Summary
Formula Used
Modulus of Elasticity of Wall Material = ((4*Concentrated Load on Wall)/(Deflection of Wall*Wall Thickness))*((Height of the Wall/Length of Wall)^3+0.75*(Height of the Wall/Length of Wall))
E = ((4*P)/(δ*t))*((H/L)^3+0.75*(H/L))
This formula uses 6 Variables
Variables Used
Modulus of Elasticity of Wall Material - (Measured in Pascal) - The Modulus of Elasticity of Wall Material is a quantity that measures an object or substance's resistance to being deformed elastically when a stress is applied to it.
Concentrated Load on Wall - (Measured in Newton) - Concentrated Load on Wall is a structural load that acts on a small, localized area of a structure i.e. wall here.
Deflection of Wall - (Measured in Meter) - The Deflection of Wall is the degree to which a structural element is displaced under a load (due to its deformation).
Wall Thickness - (Measured in Meter) - Wall Thickness is the distance between the inner and outer surfaces of a hollow object or structure. It measures the thickness of the material comprising the walls.
Height of the Wall - (Measured in Meter) - Height of the Wall can be described as the height of the member(wall).
Length of Wall - (Measured in Meter) - Length of Wall is the measurement of a wall from one end to another. It is the larger of the two or the highest of three dimensions of geometrical shapes or objects.
STEP 1: Convert Input(s) to Base Unit
Concentrated Load on Wall: 516.51 Kilonewton --> 516510 Newton (Check conversion here)
Deflection of Wall: 0.172 Meter --> 0.172 Meter No Conversion Required
Wall Thickness: 0.4 Meter --> 0.4 Meter No Conversion Required
Height of the Wall: 15 Meter --> 15 Meter No Conversion Required
Length of Wall: 25 Meter --> 25 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
E = ((4*P)/(δ*t))*((H/L)^3+0.75*(H/L)) --> ((4*516510)/(0.172*0.4))*((15/25)^3+0.75*(15/25))
Evaluating ... ...
E = 19999747.6744186
STEP 3: Convert Result to Output's Unit
19999747.6744186 Pascal -->19.9997476744186 Megapascal (Check conversion here)
FINAL ANSWER
19.9997476744186 19.99975 Megapascal <-- Modulus of Elasticity of Wall Material
(Calculation completed in 00.004 seconds)

Credits

Created by M Naveen
National Institute of Technology (NIT), Warangal
M Naveen has created this Calculator and 500+ more calculators!
Verified by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
Rithik Agrawal has verified this Calculator and 400+ more calculators!

11 Load Distribution to Bents and Shear Walls Calculators

Modulus of Elasticity of Wall Material given Deflection
Go Modulus of Elasticity of Wall Material = ((1.5*Uniform Lateral Load*Height of the Wall)/(Deflection of Wall*Wall Thickness))*((Height of the Wall/Length of Wall)^3+(Height of the Wall/Length of Wall))
Wall Thickness given Deflection
Go Wall Thickness = ((1.5*Uniform Lateral Load*Height of the Wall)/(Modulus of Elasticity of Wall Material*Deflection of Wall))*((Height of the Wall/Length of Wall)^3+(Height of the Wall/Length of Wall))
Deflection at Top due to Uniform Load
Go Deflection of Wall = ((1.5*Uniform Lateral Load*Height of the Wall)/(Modulus of Elasticity of Wall Material*Wall Thickness))*((Height of the Wall/Length of Wall)^3+(Height of the Wall/Length of Wall))
Concentrated Load given Deflection at Top
Go Concentrated Load on Wall = (Deflection of Wall*Modulus of Elasticity of Wall Material*Wall Thickness)/(4*(((Height of the Wall/Length of Wall)^3)+(0.75*(Height of the Wall/Length of Wall))))
Modulus of Elasticity given Deflection at Top Due to Concentrated Load
Go Modulus of Elasticity of Wall Material = ((4*Concentrated Load on Wall)/(Deflection of Wall*Wall Thickness))*((Height of the Wall/Length of Wall)^3+0.75*(Height of the Wall/Length of Wall))
Wall Thickness given Deflection at Top due to Concentrated Load
Go Wall Thickness = ((4*Concentrated Load on Wall)/(Modulus of Elasticity of Wall Material*Deflection of Wall))*((Height of the Wall/Length of Wall)^3+0.75*(Height of the Wall/Length of Wall))
Deflection at Top due to Concentrated Load
Go Deflection of Wall = ((4*Concentrated Load on Wall)/(Modulus of Elasticity of Wall Material*Wall Thickness))*((Height of the Wall/Length of Wall)^3+0.75*(Height of the Wall/Length of Wall))
Modulus of Elasticity given Deflection at Top Due to Fixed against Rotation
Go Modulus of Elasticity of Wall Material = (Concentrated Load on Wall/(Deflection of Wall*Wall Thickness))*((Height of the Wall/Length of Wall)^3+3*(Height of the Wall/Length of Wall))
Concentrated Load given Deflection at Top Due to Fixed against Rotation
Go Concentrated Load on Wall = (Deflection of Wall*Modulus of Elasticity of Wall Material*Wall Thickness)/((Height of the Wall/Length of Wall)^3+(3*(Height of the Wall/Length of Wall)))
Wall Thickness given Deflection at Top due to Fixed against Rotation
Go Wall Thickness = (Concentrated Load on Wall/(Modulus of Elasticity of Wall Material*Deflection of Wall))*((Height of the Wall/Length of Wall)^3+3*(Height of the Wall/Length of Wall))
Deflection at Top due to Fixed against Rotation
Go Deflection of Wall = (Concentrated Load on Wall/(Modulus of Elasticity of Wall Material*Wall Thickness))*((Height of the Wall/Length of Wall)^3+3*(Height of the Wall/Length of Wall))

Modulus of Elasticity given Deflection at Top Due to Concentrated Load Formula

Modulus of Elasticity of Wall Material = ((4*Concentrated Load on Wall)/(Deflection of Wall*Wall Thickness))*((Height of the Wall/Length of Wall)^3+0.75*(Height of the Wall/Length of Wall))
E = ((4*P)/(δ*t))*((H/L)^3+0.75*(H/L))

What is meant by Deflection?

Deflection can be defined as the degree to which a structural element is displaced under a load (due to its deformation).

Define Concentrated Load & Uniform Lateral Load?

The Concentrated Load is the load acting on a very small area of the structure's surface, the exact opposite of a distributed load.
The Lateral Loads are defined as the live loads whose main component is a horizontal force acting on the structure or member.

How to Calculate Modulus of Elasticity given Deflection at Top Due to Concentrated Load?

Modulus of Elasticity given Deflection at Top Due to Concentrated Load calculator uses Modulus of Elasticity of Wall Material = ((4*Concentrated Load on Wall)/(Deflection of Wall*Wall Thickness))*((Height of the Wall/Length of Wall)^3+0.75*(Height of the Wall/Length of Wall)) to calculate the Modulus of Elasticity of Wall Material, The Modulus of Elasticity given Deflection at Top Due to Concentrated Load formula is defined as a quantity that measures an object or substance's resistance to being deformed elastically (i.e., non-permanently) when a stress is applied. Modulus of Elasticity of Wall Material is denoted by E symbol.

How to calculate Modulus of Elasticity given Deflection at Top Due to Concentrated Load using this online calculator? To use this online calculator for Modulus of Elasticity given Deflection at Top Due to Concentrated Load, enter Concentrated Load on Wall (P), Deflection of Wall (δ), Wall Thickness (t), Height of the Wall (H) & Length of Wall (L) and hit the calculate button. Here is how the Modulus of Elasticity given Deflection at Top Due to Concentrated Load calculation can be explained with given input values -> 7.2E-8 = ((4*516510)/(Deflection_due_to_Moments_on_Arch_Dam*0.4))*((15/25)^3+0.75*(15/25)).

FAQ

What is Modulus of Elasticity given Deflection at Top Due to Concentrated Load?
The Modulus of Elasticity given Deflection at Top Due to Concentrated Load formula is defined as a quantity that measures an object or substance's resistance to being deformed elastically (i.e., non-permanently) when a stress is applied and is represented as E = ((4*P)/(δ*t))*((H/L)^3+0.75*(H/L)) or Modulus of Elasticity of Wall Material = ((4*Concentrated Load on Wall)/(Deflection of Wall*Wall Thickness))*((Height of the Wall/Length of Wall)^3+0.75*(Height of the Wall/Length of Wall)). Concentrated Load on Wall is a structural load that acts on a small, localized area of a structure i.e. wall here, The Deflection of Wall is the degree to which a structural element is displaced under a load (due to its deformation), Wall Thickness is the distance between the inner and outer surfaces of a hollow object or structure. It measures the thickness of the material comprising the walls, Height of the Wall can be described as the height of the member(wall) & Length of Wall is the measurement of a wall from one end to another. It is the larger of the two or the highest of three dimensions of geometrical shapes or objects.
How to calculate Modulus of Elasticity given Deflection at Top Due to Concentrated Load?
The Modulus of Elasticity given Deflection at Top Due to Concentrated Load formula is defined as a quantity that measures an object or substance's resistance to being deformed elastically (i.e., non-permanently) when a stress is applied is calculated using Modulus of Elasticity of Wall Material = ((4*Concentrated Load on Wall)/(Deflection of Wall*Wall Thickness))*((Height of the Wall/Length of Wall)^3+0.75*(Height of the Wall/Length of Wall)). To calculate Modulus of Elasticity given Deflection at Top Due to Concentrated Load, you need Concentrated Load on Wall (P), Deflection of Wall (δ), Wall Thickness (t), Height of the Wall (H) & Length of Wall (L). With our tool, you need to enter the respective value for Concentrated Load on Wall, Deflection of Wall, Wall Thickness, Height of the Wall & Length of Wall 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 Modulus of Elasticity of Wall Material?
In this formula, Modulus of Elasticity of Wall Material uses Concentrated Load on Wall, Deflection of Wall, Wall Thickness, Height of the Wall & Length of Wall. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Modulus of Elasticity of Wall Material = ((1.5*Uniform Lateral Load*Height of the Wall)/(Deflection of Wall*Wall Thickness))*((Height of the Wall/Length of Wall)^3+(Height of the Wall/Length of Wall))
  • Modulus of Elasticity of Wall Material = (Concentrated Load on Wall/(Deflection of Wall*Wall Thickness))*((Height of the Wall/Length of Wall)^3+3*(Height of the Wall/Length of Wall))
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!