Depth of Missile Penetration into Concrete Element of Infinite Thickness Solution

STEP 0: Pre-Calculation Summary
Formula Used
Missile Depth of Penetration = 12*Penetration Coefficient Concrete*Missile Wt./Frontal area of missile*log10(1+Missile striking velocity^2/215000)
X = 12*Kp*Wm/A*log10(1+Vs^2/215000)
This formula uses 1 Functions, 5 Variables
Functions Used
log10 - The common logarithm, also known as the base-10 logarithm or the decimal logarithm, is a mathematical function that is the inverse of the exponential function., log10(Number)
Variables Used
Missile Depth of Penetration - (Measured in Meter) - Missile Depth of Penetration is the penetration and perforation of the missile, assumed that the missile strikes the target.
Penetration Coefficient Concrete - Penetration coefficient concrete describes the amount of concrete particles reduced from the infiltration of outdoor particles due to the filtering effect of the building envelope.
Missile Wt. - (Measured in Kilogram) - Missile Wt. is the total corresponding weight of the missile.
Frontal area of missile - (Measured in Square Meter) - Frontal area of missile is the projected area, along the path of the fluid, to a plane perpendicular to the direction of motion.
Missile striking velocity - (Measured in Meter per Second) - Missile striking velocity is the velocity at which the missile strikes the target and penetrates.
STEP 1: Convert Input(s) to Base Unit
Penetration Coefficient Concrete: 0.7 --> No Conversion Required
Missile Wt.: 1500 Kilogram --> 1500 Kilogram No Conversion Required
Frontal area of missile: 20 Square Meter --> 20 Square Meter No Conversion Required
Missile striking velocity: 155 Meter per Second --> 155 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
X = 12*Kp*Wm/A*log10(1+Vs^2/215000) --> 12*0.7*1500/20*log10(1+155^2/215000)
Evaluating ... ...
X = 28.9830661783912
STEP 3: Convert Result to Output's Unit
28.9830661783912 Meter --> No Conversion Required
FINAL ANSWER
28.9830661783912 28.98307 Meter <-- Missile Depth of Penetration
(Calculation completed in 00.004 seconds)

Credits

Created by Kaki Varun Krishna
Mahatma Gandhi Institute of Technology (MGIT), Hyderabad
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Sri sivasubramaniyanadar college of engineering (ssn college of engineering), Chennai
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17 Others & Extra Calculators

Depth of Missile Penetration into Concrete Element of Infinite Thickness
Go Missile Depth of Penetration = 12*Penetration Coefficient Concrete*Missile Wt./Frontal area of missile*log10(1+Missile striking velocity^2/215000)
Tangential Force on Gear given Pressure angle and Resultant Force
Go Tangential Force on Spur Gear = Resultant Force on Spur Gear*cos(Pressure Angle of Spur Gear)
Work Done by Roots Blower
Go Work Done per Cycle = 4*Volume*(Final Pressure of System-Initial Pressure of System)
Friction Coefficient
Go Local Friction Coefficient = Wall Shear Stress/(0.5*Density*(Fluid Velocity^2))
Muzzle Velocity
Go Muzzle Velocity = Initial Velocity^2+2*Acceleration*Travel Distance Barrel
Inner Diameter of Rim of Medium Size Diameter
Go Inner Diameter of Rim of Spur Gear = Dedendum Circle Diameter of Spur Gear-2*Thickness of Spur Gear Rim
Addendum Circle Diameter of Small Size Gear given Addendum
Go Addendum Circle Diameter of Spur Gear = Pitch Circle Diameter of Spur Gear+(2*Addendum of spur gear)
Dedendum Circle Diameter of Small Size Gear given Dedendum
Go Dedendum Circle Diameter of Spur Gear = Pitch Circle Diameter of Spur Gear-(2*Dedundum of Spur Gear)
Dedendum Circle Diameter of Medium Size Gear given Module and Number of Teeth
Go Dedendum Circle Diameter of Spur Gear = Module of Spur Gear*(Number of Teeth on Spur Gear-2.5)
Dedendum Circle Diameter of Small Size Gear given Number of Teeth and Module
Go Dedendum Circle Diameter of Spur Gear = Module of Spur Gear*(Number of Teeth on Spur Gear-2.5)
Addendum Circle Diameter of Medium Size Gear given Module and Number of Teeth
Go Addendum Circle Diameter of Spur Gear = Module of Spur Gear*(Number of Teeth on Spur Gear+2)
Addendum Circle Diameter of Small Size Gear given Module and Number of Teeth
Go Addendum Circle Diameter of Spur Gear = Module of Spur Gear*(Number of Teeth on Spur Gear+2)
Pitch Circle Diameter of Medium Size Gear
Go Pitch Circle Diameter of Spur Gear = Module of Spur Gear*Number of Teeth on Spur Gear
Pitch Circle Diameter of Small Size Gear
Go Pitch Circle Diameter of Spur Gear = Module of Spur Gear*Number of Teeth on Spur Gear
Pitch Circle Diameter of Large Size Gear
Go Pitch Circle Diameter of Spur Gear = Module of Spur Gear*Number of Teeth on Spur Gear
Strain Energy Density
Go Strain Energy Density = 0.5*Principle Stress*Principle Strain
Factor of Safety given Ultimate Stress and Working Stress
Go Factor of Safety = Fracture Stress/Working Stress

Depth of Missile Penetration into Concrete Element of Infinite Thickness Formula

Missile Depth of Penetration = 12*Penetration Coefficient Concrete*Missile Wt./Frontal area of missile*log10(1+Missile striking velocity^2/215000)
X = 12*Kp*Wm/A*log10(1+Vs^2/215000)

Between Aluminum and Steel which one has less penetration by missile impact?

Aluminum has the lowest penetration of approx. 50mm and Steel has a penetration depth of approx. 230mm.

What is penetration aid?

A penetration aid (or "penaid") is a device or tactic used to increase an intercontinental ballistic missile (ICBM) warhead's chances of penetrating a target's defenses.

How to Calculate Depth of Missile Penetration into Concrete Element of Infinite Thickness?

Depth of Missile Penetration into Concrete Element of Infinite Thickness calculator uses Missile Depth of Penetration = 12*Penetration Coefficient Concrete*Missile Wt./Frontal area of missile*log10(1+Missile striking velocity^2/215000) to calculate the Missile Depth of Penetration, Depth of missile penetration into concrete element of infinite thickness is, predicting local damage in the impact area including depth of penetration. In penetration, formulae assume that the missile strikes the target normally to the surface, and the axis of the missile is assumed to parallel to the line of flight. Missile Depth of Penetration is denoted by X symbol.

How to calculate Depth of Missile Penetration into Concrete Element of Infinite Thickness using this online calculator? To use this online calculator for Depth of Missile Penetration into Concrete Element of Infinite Thickness, enter Penetration Coefficient Concrete (Kp), Missile Wt. (Wm), Frontal area of missile (A) & Missile striking velocity (Vs) and hit the calculate button. Here is how the Depth of Missile Penetration into Concrete Element of Infinite Thickness calculation can be explained with given input values -> 28.98307 = 12*0.7*1500/20*log10(1+155^2/215000).

FAQ

What is Depth of Missile Penetration into Concrete Element of Infinite Thickness?
Depth of missile penetration into concrete element of infinite thickness is, predicting local damage in the impact area including depth of penetration. In penetration, formulae assume that the missile strikes the target normally to the surface, and the axis of the missile is assumed to parallel to the line of flight and is represented as X = 12*Kp*Wm/A*log10(1+Vs^2/215000) or Missile Depth of Penetration = 12*Penetration Coefficient Concrete*Missile Wt./Frontal area of missile*log10(1+Missile striking velocity^2/215000). Penetration coefficient concrete describes the amount of concrete particles reduced from the infiltration of outdoor particles due to the filtering effect of the building envelope, Missile Wt. is the total corresponding weight of the missile, Frontal area of missile is the projected area, along the path of the fluid, to a plane perpendicular to the direction of motion & Missile striking velocity is the velocity at which the missile strikes the target and penetrates.
How to calculate Depth of Missile Penetration into Concrete Element of Infinite Thickness?
Depth of missile penetration into concrete element of infinite thickness is, predicting local damage in the impact area including depth of penetration. In penetration, formulae assume that the missile strikes the target normally to the surface, and the axis of the missile is assumed to parallel to the line of flight is calculated using Missile Depth of Penetration = 12*Penetration Coefficient Concrete*Missile Wt./Frontal area of missile*log10(1+Missile striking velocity^2/215000). To calculate Depth of Missile Penetration into Concrete Element of Infinite Thickness, you need Penetration Coefficient Concrete (Kp), Missile Wt. (Wm), Frontal area of missile (A) & Missile striking velocity (Vs). With our tool, you need to enter the respective value for Penetration Coefficient Concrete, Missile Wt, Frontal area of missile & Missile striking velocity 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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