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))
BL = (db/33)*sqrt((Dp*s)/(c*Df*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
BL = (db/33)*sqrt((Dp*s)/(c*Df*EV)) --> (0.0975/33)*sqrt((3.01*5)/(1.3*2.03*0.5))
Evaluating ... ...
BL = 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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Parameters of Vibration Control in Blasting Calculators

Frequency of Vibration given Acceleration of Particles
​ LaTeX ​ Go Frequency of Vibration = sqrt(Acceleration of Particles/(4*(pi)^2*Amplitude of Vibration))
Amplitude of Vibrations using Velocity of Particle
​ LaTeX ​ Go Amplitude of Vibration = (Velocity of Particle/(2*pi*Frequency of Vibration))
Frequency of Vibration given Velocity of Particle
​ LaTeX ​ Go Frequency of Vibration = (Velocity of Particle/(2*pi*Amplitude of Vibration))
Frequency of Vibrations caused by Blasting
​ LaTeX ​ Go Frequency of Vibration = (Velocity of Vibration/Wavelength of Vibration)

Burden Suggested in Langefors' Formula Formula

​LaTeX ​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))
BL = (db/33)*sqrt((Dp*s)/(c*Df*EV))

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 BL 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 (db), Degree of Packing (Dp), Weight Strength of Explosive (s), Rock Constant (c), Degree of Fraction (Df) & 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 BL = (db/33)*sqrt((Dp*s)/(c*Df*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 (db), Degree of Packing (Dp), Weight Strength of Explosive (s), Rock Constant (c), Degree of Fraction (Df) & 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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