Scaled Distance for Vibration Control Calculator

✖Constant of Scaled Distance is a parameter representing the normalized separation between objects, maintaining proportionality in a scaled context.ⓘ Constant of Scaled Distance [H]			+10% -10%
✖Distance from Explosion to Exposure is the space between a hazardous blast and vulnerable entities, measuring potential impact range.ⓘ Distance from Explosion to Exposure [D]			+10% -10%
✖Maximum Weight of Explosives per Delay is a single blasting delay to ensure safe and controlled detonation during mining or construction operations.ⓘ Maximum Weight of Explosives per Delay [W]			+10% -10%
✖Constant of Scaled Distance β is a number that is used to multiply the dimensions of an object or physical quantity in order to convert it to different measurement scale.ⓘ Constant of Scaled Distance β [β]			+10% -10%

✖Scaled Distance is defined as distance to exposure divided by the square root of maximum pounds per delay.ⓘ Scaled Distance for Vibration Control [D_scaled]

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Formula

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Scaled Distance for Vibration Control

Formula

`"D"_{"scaled"} = "H"*("D"/sqrt("W"))^(-"β")`

Example

`"5.01002m"="2.01"*("5.01m"/sqrt("62kg"))^(-"2.02")`

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Download Vibration Control in Blasting Formulas PDF

Scaled Distance for Vibration Control Solution

STEP 0: Pre-Calculation Summary

Formula Used

Scaled Distance = Constant of Scaled Distance*(Distance from Explosion to Exposure/sqrt(Maximum Weight of Explosives per Delay))^(-Constant of Scaled Distance β)
D_scaled = H*(D/sqrt(W))^(-β)
This formula uses 1 Functions, 5 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Scaled Distance - (Measured in Meter) - Scaled Distance is defined as distance to exposure divided by the square root of maximum pounds per delay.
Constant of Scaled Distance - Constant of Scaled Distance is a parameter representing the normalized separation between objects, maintaining proportionality in a scaled context.
Distance from Explosion to Exposure - (Measured in Meter) - Distance from Explosion to Exposure is the space between a hazardous blast and vulnerable entities, measuring potential impact range.
Maximum Weight of Explosives per Delay - (Measured in Kilogram) - Maximum Weight of Explosives per Delay is a single blasting delay to ensure safe and controlled detonation during mining or construction operations.
Constant of Scaled Distance β - Constant of Scaled Distance β is a number that is used to multiply the dimensions of an object or physical quantity in order to convert it to different measurement scale.

STEP 1: Convert Input(s) to Base Unit

Constant of Scaled Distance: 2.01 --> No Conversion Required
Distance from Explosion to Exposure: 5.01 Meter --> 5.01 Meter No Conversion Required
Maximum Weight of Explosives per Delay: 62 Kilogram --> 62 Kilogram No Conversion Required
Constant of Scaled Distance β: 2.02 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_scaled = H*(D/sqrt(W))^(-β) --> 2.01*(5.01/sqrt(62))^(-2.02)

Evaluating ... ...

D_scaled = 5.01001997678493

STEP 3: Convert Result to Output's Unit

5.01001997678493 Meter --> No Conversion Required

FINAL ANSWER

5.01001997678493 ≈ 5.01002 Meter <-- Scaled Distance

(Calculation completed in 00.020 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< 22 Vibration Control in Blasting Calculators

Diameter of Drill Bit using Burden Suggested in Langefors' Formula

Go Diameter of Drill Bit = (Burden in Langefors' Formula*33)*sqrt((Rock Constant*Degree of Fraction*Ratio of Spacing to Burden)/(Degree of Packing*Weight Strength of Explosive))

Weight Strength of Explosive using Burden Suggested in Langefors' Formula

Go Weight Strength of Explosive = (33*Burden in Langefors' Formula/Diameter of Drill Bit)^2*((Ratio of Spacing to Burden*Rock Constant*Degree of Fraction)/Degree of Packing)

Maximum Weight of Explosives given Scaled Distance for Vibration Control

Go Maximum Weight of Explosives per Delay = ((Distance from Explosion to Exposure)^(-Constant of Scaled Distance β)*(Constant of Scaled Distance/Scaled Distance))^(-2/Constant of Scaled Distance β)

Distance to Exposure given Scaled Distance for Vibration Control

Go Distance from Explosion to Exposure = sqrt(Maximum Weight of Explosives per Delay)*(Scaled Distance/Constant of Scaled Distance)^(-1/Constant of Scaled Distance β)

Scaled Distance for Vibration Control

Go Scaled Distance = Constant of Scaled Distance*(Distance from Explosion to Exposure/sqrt(Maximum Weight of Explosives per Delay))^(-Constant of Scaled Distance β)

Distance of Particle Two from Site of Explosion given Velocity

Go Distance of Particle 2 from Explosion = Distance of Particle 1 from Explosion*(Velocity of Particle with Mass m1/Velocity of Particle with Mass m2)^(2/3)

Velocity of Particle One at Distance from Explosion

Go Velocity of Particle with Mass m1 = Velocity of Particle with Mass m2*(Distance of Particle 2 from Explosion/Distance of Particle 1 from Explosion)^(1.5)

Velocity of Particle Two at distance from Explosion

Go Velocity of Particle with Mass m2 = Velocity of Particle with Mass m1*(Distance of Particle 1 from Explosion/Distance of Particle 2 from Explosion)^(1.5)

Distance of Particle One from Site of Explosion

Go Distance of Particle 1 from Explosion = Distance of Particle 2 from Explosion*(Velocity of Particle with Mass m2/Velocity of Particle with Mass m1)^(2/3)

Diameter of Explosive using Burden Suggested in Konya Formula

Go Diameter of Explosive = (Burden/3.15)*(Specific Gravity of Rock/Specific Gravity of Explosive)^(1/3)

Specific Gravity of Explosive using Burden Suggested in Konya Formula

Go Specific Gravity of Explosive = Specific Gravity of Rock*(Burden/(3.15*Diameter of Explosive))^3

Specific Gravity of Rock using Burden Suggested in Konya Formula

Go Specific Gravity of Rock = Specific Gravity of Explosive*((3.15*Diameter of Explosive)/Burden)^3

Acceleration of Particles disturbed by Vibrations

Go Acceleration of Particles = (4*(pi*Frequency of Vibration)^2*Amplitude of Vibration)

Velocity of Particles disturbed by Vibrations

Go Velocity of Particle = (2*pi*Frequency of Vibration*Amplitude of Vibration)

Distance from Blast Hole to Nearest Perpendicular Free Face or Burden

Go Burden = sqrt(Diameter of Borehole*Length of Borehole)

Spacing for Multiple Simultaneous Blasting

Go Blasting Space = sqrt(Burden*Length of Borehole)

Wavelength of Vibrations caused by Blasting

Go Wavelength of Vibration = (Velocity of Vibration/Frequency of Vibration)

Velocity of Vibrations caused by Blasting

Go Velocity of Vibration = (Wavelength of Vibration*Frequency of Vibration)

Stemming at Top of Borehole to Prevent Explosive Gases from Escaping

Go Stemming at Top of Borehole = (0.7*Burden)+(Overburden/2)

Overburden given Stemming at Top of Borehole

Go Overburden = 2*(Stemming at Top of Borehole-(0.7*Burden))

Sound Pressure Level in Decibels

Go Sound Pressure Level = (Overpressure/(6.95*10^(-28)))^0.084

Diameter of Borehole using Minimum Length of Borehole

Go Diameter of Borehole = (Length of Borehole/2)

Scaled Distance for Vibration Control Formula

Scaled Distance = Constant of Scaled Distance*(Distance from Explosion to Exposure/sqrt(Maximum Weight of Explosives per Delay))^(-Constant of Scaled Distance β)
D_scaled = H*(D/sqrt(W))^(-β)

What is Scaled Distance?

Scaled Distance (SD) is a scaling factor that relates similar blast effects from various charge weights of the same explosive at various distances. Scaled distance is calculated by dividing the distance to the structure of concern by a fractional power of the weight of the explosive material.

How to Calculate Scaled Distance for Vibration Control?

Scaled Distance for Vibration Control calculator uses Scaled Distance = Constant of Scaled Distance*(Distance from Explosion to Exposure/sqrt(Maximum Weight of Explosives per Delay))^(-Constant of Scaled Distance β) to calculate the Scaled Distance, The Scaled Distance for Vibration Control is defined as the scaled distance when we have prior information of maximum weight and distance . Scaled Distance is denoted by D_scaled symbol.

How to calculate Scaled Distance for Vibration Control using this online calculator? To use this online calculator for Scaled Distance for Vibration Control, enter Constant of Scaled Distance (H), Distance from Explosion to Exposure (D), Maximum Weight of Explosives per Delay (W) & Constant of Scaled Distance β (β) and hit the calculate button. Here is how the Scaled Distance for Vibration Control calculation can be explained with given input values -> 5.01002 = 2.01*(5.01/sqrt(62))^(-2.02).

FAQ

What is Scaled Distance for Vibration Control?

The Scaled Distance for Vibration Control is defined as the scaled distance when we have prior information of maximum weight and distance and is represented as D_scaled = H*(D/sqrt(W))^(-β) or Scaled Distance = Constant of Scaled Distance*(Distance from Explosion to Exposure/sqrt(Maximum Weight of Explosives per Delay))^(-Constant of Scaled Distance β). Constant of Scaled Distance is a parameter representing the normalized separation between objects, maintaining proportionality in a scaled context, Distance from Explosion to Exposure is the space between a hazardous blast and vulnerable entities, measuring potential impact range, Maximum Weight of Explosives per Delay is a single blasting delay to ensure safe and controlled detonation during mining or construction operations & Constant of Scaled Distance β is a number that is used to multiply the dimensions of an object or physical quantity in order to convert it to different measurement scale.

How to calculate Scaled Distance for Vibration Control?

The Scaled Distance for Vibration Control is defined as the scaled distance when we have prior information of maximum weight and distance is calculated using Scaled Distance = Constant of Scaled Distance*(Distance from Explosion to Exposure/sqrt(Maximum Weight of Explosives per Delay))^(-Constant of Scaled Distance β). To calculate Scaled Distance for Vibration Control, you need Constant of Scaled Distance (H), Distance from Explosion to Exposure (D), Maximum Weight of Explosives per Delay (W) & Constant of Scaled Distance β (β). With our tool, you need to enter the respective value for Constant of Scaled Distance, Distance from Explosion to Exposure, Maximum Weight of Explosives per Delay & Constant of Scaled Distance β 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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