Burden Suggested in Langefors' Formula Calculator

✖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 [d_b]			+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%
✖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%

✖Burden in Langefors' Formula is the ratio of explosive weight to rock mass, determining efficient rock fragmentation in blasting operations.ⓘ Burden Suggested in Langefors' Formula [B_L]

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Burden Suggested in Langefors' Formula

Formula

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

Example

`"0.009978m"=("97.5mm"/33)*sqrt(("3.01kg/dm³"*"5")/("1.3"*"2.03"*"0.50"))`

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Burden Suggested in Langefors' Formula Solution

STEP 0: Pre-Calculation Summary

Formula Used

Burden in Langefors' Formula = (Diameter of Drill Bit/33)*sqrt((Degree of Packing*Weight Strength of Explosive)/(Rock Constant*Degree of Fraction*Ratio of Spacing to Burden))
B_L = (d_b/33)*sqrt((D_p*s)/(c*D_f*EV))
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

Burden in Langefors' Formula - (Measured in Meter) - Burden in Langefors' Formula is the ratio of explosive weight to rock mass, determining efficient rock fragmentation in blasting operations.
Diameter of Drill Bit - (Measured in Meter) - Diameter of Drill Bit in Langefors’ Formula relates rock drillability to bit diameter, expressing the effect of diameter on drilling efficiency and performance.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Diameter of Drill Bit: 97.5 Millimeter --> 0.0975 Meter (Check conversion here)
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
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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

B_L = (d_b/33)*sqrt((D_p*s)/(c*D_f*EV)) --> (0.0975/33)*sqrt((3.01*5)/(1.3*2.03*0.5))

Evaluating ... ...

B_L = 0.00997824650170504

STEP 3: Convert Result to Output's Unit

0.00997824650170504 Meter --> No Conversion Required

FINAL ANSWER

0.00997824650170504 ≈ 0.009978 Meter <-- Burden in Langefors' Formula

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Geotechnical Engineering » Vibration Control in Blasting » Parameters of Vibration Control in Blasting » Burden Suggested in Langefors' Formula

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< 17 Parameters of Vibration Control in Blasting Calculators

Burden Suggested in Langefors' Formula

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

Frequency of Vibration given Acceleration of Particles

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

Burden Suggested in Konya Formula

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

Amplitude of Vibrations given Acceleration of Particles

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

Distance from Explosion to Exposure given Overpressure

Go Distance from Explosion to Exposure = ((226.62/Overpressure))^(1/1.407)*(Maximum Weight of Explosives per Delay)^(1/3)

Overpressure due to Charge Exploded on Ground Surface

Go Overpressure = 226.62*((Maximum Weight of Explosives per Delay)^(1/3)/Distance from Explosion to Exposure)^(1.407)

Amplitude of Vibrations using Velocity of Particle

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

Frequency of Vibration given Velocity of Particle

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

Frequency of Vibrations caused by Blasting

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

Burden given Stemming at Top of Borehole

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

Diameter of Borehole using Burden

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

Length of Borehole using Burden

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

Length of Borehole given Spacing for Multiple Simultaneous Blasting

Go Length of Borehole = (Blasting Space)^2/Burden

Burden given Spacing for Multiple Simultaneous Blasting

Go Burden = (Blasting Space)^2/Length of Borehole

Overpressure given Sound Pressure Level in Decibels

Go Overpressure = (Sound Pressure Level)^(1/0.084)*(6.95*10^(-28))

Minimum Length of Borehole in Meter

Go Length of Borehole = (2*25.4*Diameter of Bore Pith Circle)

Minimum Length of Borehole in Feet

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

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 Burden Suggested in Langefors' Formula?

Burden Suggested in Langefors' Formula calculator uses Burden in Langefors' Formula = (Diameter of Drill Bit/33)*sqrt((Degree of Packing*Weight Strength of Explosive)/(Rock Constant*Degree of Fraction*Ratio of Spacing to Burden)) to calculate the Burden in Langefors' Formula, The Burden Suggested in Langefors' Formula is defined as the distance from the blast hole to the nearest perpendicular free face. Burden in Langefors' Formula is denoted by B_L symbol.

How to calculate Burden Suggested in Langefors' Formula using this online calculator? To use this online calculator for Burden Suggested in Langefors' Formula, enter Diameter of Drill Bit (d_b), Degree of Packing (D_p), Weight Strength of Explosive (s), Rock Constant (c), Degree of Fraction (D_f) & Ratio of Spacing to Burden (EV) and hit the calculate button. Here is how the Burden Suggested in Langefors' Formula calculation can be explained with given input values -> 0.009962 = (0.0975/33)*sqrt((3010*5)/(1.3*2.03*0.5)).

FAQ

What is Burden Suggested in Langefors' Formula?

The Burden Suggested in Langefors' Formula is defined as the distance from the blast hole to the nearest perpendicular free face and is represented as B_L = (d_b/33)*sqrt((D_p*s)/(c*D_f*EV)) or Burden in Langefors' Formula = (Diameter of Drill Bit/33)*sqrt((Degree of Packing*Weight Strength of Explosive)/(Rock Constant*Degree of Fraction*Ratio of Spacing to Burden)). Diameter of Drill Bit in Langefors’ Formula relates rock drillability to bit diameter, expressing the effect of diameter on drilling efficiency and performance, 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, 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.

How to calculate Burden Suggested in Langefors' Formula?

The Burden Suggested in Langefors' Formula is defined as the distance from the blast hole to the nearest perpendicular free face is calculated using Burden in Langefors' Formula = (Diameter of Drill Bit/33)*sqrt((Degree of Packing*Weight Strength of Explosive)/(Rock Constant*Degree of Fraction*Ratio of Spacing to Burden)). To calculate Burden Suggested in Langefors' Formula, you need Diameter of Drill Bit (d_b), Degree of Packing (D_p), Weight Strength of Explosive (s), Rock Constant (c), Degree of Fraction (D_f) & Ratio of Spacing to Burden (EV). With our tool, you need to enter the respective value for Diameter of Drill Bit, Degree of Packing, Weight Strength of Explosive, Rock Constant, Degree of Fraction & Ratio of Spacing to Burden 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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