Diameter of Drill Bit using Burden Suggested in Langefors' Formula Calculator

✖Burden in Langefors' Formula is the ratio of explosive weight to rock mass, determining efficient rock fragmentation in blasting operations.ⓘ Burden in Langefors' Formula [B_L]			+10% -10%
✖Rock Constant is a fundamental geological parameter representing Earth's average continental crust composition, vital for understanding planetary evolution and geodynamics.ⓘ Rock Constant [c]			+10% -10%
✖Degree of Fraction is used for hole characteristics.ⓘ Degree of Fraction [D_f]			+10% -10%
✖Ratio of Spacing to Burden is the relationship between the gap size and load-carrying capacity in structural elements.ⓘ Ratio of Spacing to Burden [EV]			+10% -10%
✖Degree of Packing is the loading weight per unit of nominal volume.ⓘ Degree of Packing [D_p]			+10% -10%
✖Weight Strength of Explosive the measure the absolute amount of energy available in each gram of explosive.ⓘ Weight Strength of Explosive [s]			+10% -10%

✖Diameter of Drill Bit in Langefors’ Formula relates rock drillability to bit diameter, expressing the effect of diameter on drilling efficiency and performance.ⓘ Diameter of Drill Bit using Burden Suggested in Langefors' Formula [d_b]

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Diameter of Drill Bit using Burden Suggested in Langefors' Formula

Formula

`"d"_{"b"} = ("B"_{"L"}*33)*sqrt(("c"*"D"_{"f"}*"EV")/("D"_{"p"}*"s"))`

Example

`"97.71256mm"=("0.01m"*33)*sqrt(("1.3"*"2.03"*"0.50")/("3.01kg/dm³"*"5"))`

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Diameter of Drill Bit using Burden Suggested in Langefors' Formula Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
d_b = (B_L*33)*sqrt((c*D_f*EV)/(D_p*s))
This formula uses 1 Functions, 7 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

Diameter of Drill Bit - (Measured in Millimeter) - Diameter of Drill Bit in Langefors’ Formula relates rock drillability to bit diameter, expressing the effect of diameter on drilling efficiency and performance.
Burden in Langefors' Formula - (Measured in Millimeter) - Burden in Langefors' Formula is the ratio of explosive weight to rock mass, determining efficient rock fragmentation in blasting operations.
Rock Constant - Rock Constant is a fundamental geological parameter representing Earth's average continental crust composition, vital for understanding planetary evolution and geodynamics.
Degree of Fraction - Degree of Fraction is used for hole characteristics.
Ratio of Spacing to Burden - Ratio of Spacing to Burden is the relationship between the gap size and load-carrying capacity in structural elements.
Degree of Packing - (Measured in Kilogram per Cubic Decimeter) - Degree of Packing is the loading weight per unit of nominal volume.
Weight Strength of Explosive - Weight Strength of Explosive the measure the absolute amount of energy available in each gram of explosive.

STEP 1: Convert Input(s) to Base Unit

Burden in Langefors' Formula: 0.01 Meter --> 10 Millimeter (Check conversion here)
Rock Constant: 1.3 --> No Conversion Required
Degree of Fraction: 2.03 --> No Conversion Required
Ratio of Spacing to Burden: 0.5 --> No Conversion Required
Degree of Packing: 3.01 Kilogram per Cubic Decimeter --> 3.01 Kilogram per Cubic Decimeter No Conversion Required
Weight Strength of Explosive: 5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_b = (B_L*33)*sqrt((c*D_f*EV)/(D_p*s)) --> (10*33)*sqrt((1.3*2.03*0.5)/(3.01*5))

Evaluating ... ...

d_b = 97.7125589985572

STEP 3: Convert Result to Output's Unit

0.0977125589985572 Meter -->97.7125589985572 Millimeter (Check conversion here)

FINAL ANSWER

97.7125589985572 ≈ 97.71256 Millimeter <-- Diameter of Drill Bit

(Calculation completed in 00.004 seconds)

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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)

Diameter of Drill Bit using Burden Suggested in Langefors' Formula Formula

What is Burden?

The burden is the distance from the blast hole to the nearest perpendicular free face. The true burden can vary depending upon the delay system used for the blast.

How to Calculate Diameter of Drill Bit using Burden Suggested in Langefors' Formula?

Diameter of Drill Bit using Burden Suggested in Langefors' Formula calculator uses 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)) to calculate the Diameter of Drill Bit, The Diameter of Drill Bit using Burden Suggested in Langefors' Formula is defined as the diameter of drill bit when we have prior information of burden , rock constant , spacing and degree of packing . Diameter of Drill Bit is denoted by d_b symbol.

How to calculate Diameter of Drill Bit using Burden Suggested in Langefors' Formula using this online calculator? To use this online calculator for Diameter of Drill Bit using Burden Suggested in Langefors' Formula, enter Burden in Langefors' Formula (B_L), Rock Constant (c), Degree of Fraction (D_f), Ratio of Spacing to Burden (EV), Degree of Packing (D_p) & Weight Strength of Explosive (s) and hit the calculate button. Here is how the Diameter of Drill Bit using Burden Suggested in Langefors' Formula calculation can be explained with given input values -> 97875.28 = (0.01*33)*sqrt((1.3*2.03*0.5)/(3010*5)).

FAQ

What is Diameter of Drill Bit using Burden Suggested in Langefors' Formula?

The Diameter of Drill Bit using Burden Suggested in Langefors' Formula is defined as the diameter of drill bit when we have prior information of burden , rock constant , spacing and degree of packing and is represented as d_b = (B_L*33)*sqrt((c*D_f*EV)/(D_p*s)) or 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)). Burden in Langefors' Formula is the ratio of explosive weight to rock mass, determining efficient rock fragmentation in blasting operations, Rock Constant is a fundamental geological parameter representing Earth's average continental crust composition, vital for understanding planetary evolution and geodynamics, Degree of Fraction is used for hole characteristics, Ratio of Spacing to Burden is the relationship between the gap size and load-carrying capacity in structural elements, Degree of Packing is the loading weight per unit of nominal volume & Weight Strength of Explosive the measure the absolute amount of energy available in each gram of explosive.

How to calculate Diameter of Drill Bit using Burden Suggested in Langefors' Formula?

The Diameter of Drill Bit using Burden Suggested in Langefors' Formula is defined as the diameter of drill bit when we have prior information of burden , rock constant , spacing and degree of packing is calculated using 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)). To calculate Diameter of Drill Bit using Burden Suggested in Langefors' Formula, you need Burden in Langefors' Formula (B_L), Rock Constant (c), Degree of Fraction (D_f), Ratio of Spacing to Burden (EV), Degree of Packing (D_p) & Weight Strength of Explosive (s). With our tool, you need to enter the respective value for Burden in Langefors' Formula, Rock Constant, Degree of Fraction, Ratio of Spacing to Burden, Degree of Packing & Weight Strength of Explosive 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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