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Stress in Extreme Compression Surface when Moment Resistance is Given Solution

STEP 0: Pre-Calculation Summary
Formula Used
stress_in_extreme_compression_surface = 2*Moment Resistance in Compression/((value of j*width of beam*(distance to centroid of tensile steel^2))*(value of k+2*value of n*value of rho dash)*(1-(distance to centroid of compressive steel/(value of k*distance to centroid of tensile steel))))
fc = 2*Mc/((j*b*(d^2))*(k+2*n*ρ')*(1-(d'/(k*d))))
This formula uses 8 Variables
Variables Used
Moment Resistance in Compression - Moment Resistance in Compression (Measured in Newton Meter)
value of j- value of j is the measure of j.
width of beam - width of beam is the measure of beam width. (Measured in Millimeter)
distance to centroid of tensile steel - distance to centroid of tensile steel (Measured in Millimeter)
value of k- value of k is the measure of k.
value of n- value of n is the index value of position n in a series or a sequence.
value of rho dash- value of rho dash is the measure of ρ'.
distance to centroid of compressive steel - distance to centroid of compressive steel (Measured in Millimeter)
STEP 1: Convert Input(s) to Base Unit
Moment Resistance in Compression: 10 Newton Meter --> 10 Newton Meter No Conversion Required
value of j: 2 --> No Conversion Required
width of beam: 1 Millimeter --> 0.001 Meter (Check conversion here)
distance to centroid of tensile steel: 5 Millimeter --> 0.005 Meter (Check conversion here)
value of k: 1 --> No Conversion Required
value of n: 1 --> No Conversion Required
value of rho dash: 1 --> No Conversion Required
distance to centroid of compressive steel: 2 Millimeter --> 0.002 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
fc = 2*Mc/((j*b*(d^2))*(k+2*n*ρ')*(1-(d'/(k*d)))) --> 2*10/((2*0.001*(0.005^2))*(1+2*1*1)*(1-(0.002/(1*0.005))))
Evaluating ... ...
fc = 222222222.222222
STEP 3: Convert Result to Output's Unit
222222222.222222 Pascal -->222.222222222222 Megapascal (Check conversion here)
FINAL ANSWER
222.222222222222 Megapascal <-- stress in extreme compression surface
(Calculation completed in 00.047 seconds)

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Stress in Extreme Compression Surface when Moment Resistance is Given Formula

stress_in_extreme_compression_surface = 2*Moment Resistance in Compression/((value of j*width of beam*(distance to centroid of tensile steel^2))*(value of k+2*value of n*value of rho dash)*(1-(distance to centroid of compressive steel/(value of k*distance to centroid of tensile steel))))
fc = 2*Mc/((j*b*(d^2))*(k+2*n*ρ')*(1-(d'/(k*d))))

What is meant by moment of resistance?

The couple produced by the internal forces in a beam subjected to bending under the maximum permissible stress.

How to Calculate Stress in Extreme Compression Surface when Moment Resistance is Given?

Stress in Extreme Compression Surface when Moment Resistance is Given calculator uses stress_in_extreme_compression_surface = 2*Moment Resistance in Compression/((value of j*width of beam*(distance to centroid of tensile steel^2))*(value of k+2*value of n*value of rho dash)*(1-(distance to centroid of compressive steel/(value of k*distance to centroid of tensile steel)))) to calculate the stress in extreme compression surface, The Stress in Extreme Compression Surface when Moment Resistance is Given formula is calculates the stress produced in compressive state when we have a prior info of moment of resistance. . stress in extreme compression surface and is denoted by fc symbol.

How to calculate Stress in Extreme Compression Surface when Moment Resistance is Given using this online calculator? To use this online calculator for Stress in Extreme Compression Surface when Moment Resistance is Given, enter Moment Resistance in Compression (Mc), value of j (j), width of beam (b), distance to centroid of tensile steel (d), value of k (k), value of n (n), value of rho dash (ρ') and distance to centroid of compressive steel (d') and hit the calculate button. Here is how the Stress in Extreme Compression Surface when Moment Resistance is Given calculation can be explained with given input values -> 222.2222 = 2*10/((2*0.001*(0.005^2))*(1+2*1*1)*(1-(0.002/(1*0.005)))).

FAQ

What is Stress in Extreme Compression Surface when Moment Resistance is Given?
The Stress in Extreme Compression Surface when Moment Resistance is Given formula is calculates the stress produced in compressive state when we have a prior info of moment of resistance. and is represented as fc = 2*Mc/((j*b*(d^2))*(k+2*n*ρ')*(1-(d'/(k*d)))) or stress_in_extreme_compression_surface = 2*Moment Resistance in Compression/((value of j*width of beam*(distance to centroid of tensile steel^2))*(value of k+2*value of n*value of rho dash)*(1-(distance to centroid of compressive steel/(value of k*distance to centroid of tensile steel)))). Moment Resistance in Compression, value of j is the measure of j, width of beam is the measure of beam width, distance to centroid of tensile steel, value of k is the measure of k, value of n is the index value of position n in a series or a sequence, value of rho dash is the measure of ρ' and distance to centroid of compressive steel.
How to calculate Stress in Extreme Compression Surface when Moment Resistance is Given?
The Stress in Extreme Compression Surface when Moment Resistance is Given formula is calculates the stress produced in compressive state when we have a prior info of moment of resistance. is calculated using stress_in_extreme_compression_surface = 2*Moment Resistance in Compression/((value of j*width of beam*(distance to centroid of tensile steel^2))*(value of k+2*value of n*value of rho dash)*(1-(distance to centroid of compressive steel/(value of k*distance to centroid of tensile steel)))). To calculate Stress in Extreme Compression Surface when Moment Resistance is Given, you need Moment Resistance in Compression (Mc), value of j (j), width of beam (b), distance to centroid of tensile steel (d), value of k (k), value of n (n), value of rho dash (ρ') and distance to centroid of compressive steel (d'). With our tool, you need to enter the respective value for Moment Resistance in Compression, value of j, width of beam, distance to centroid of tensile steel, value of k, value of n, value of rho dash and distance to centroid of compressive steel 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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