Total Compressive force on Beam Cross Section Solution

STEP 0: Pre-Calculation Summary
Formula Used
Total Compression on Beam = Total Compression on Concrete+Force on Compressive Steel
Cb = Cc+Cs'
This formula uses 3 Variables
Variables Used
Total Compression on Beam - (Measured in Newton) - Total Compression on Beam is the total compressive force acting on the whole beam cross-section.
Total Compression on Concrete - (Measured in Newton) - Total Compression on Concrete is the total compressive force acting on the section.
Force on Compressive Steel - (Measured in Newton) - Force on Compressive Steel is the total force acting on the compressive reinforcement alone in the section.
STEP 1: Convert Input(s) to Base Unit
Total Compression on Concrete: 750 Newton --> 750 Newton No Conversion Required
Force on Compressive Steel: 10.2 Newton --> 10.2 Newton No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Cb = Cc+Cs' --> 750+10.2
Evaluating ... ...
Cb = 760.2
STEP 3: Convert Result to Output's Unit
760.2 Newton --> No Conversion Required
FINAL ANSWER
760.2 Newton <-- Total Compression on Beam
(Calculation completed in 00.004 seconds)

Credits

Created by Chandana P Dev
NSS College of Engineering (NSSCE), Palakkad
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Coorg Institute of Technology (CIT), Coorg
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9 Doubly Reinforced Rectangular Sections Calculators

Stress in Extreme Compression Surface given Moment Resistance
Go Stress in Extreme Compression Surface = 2*Moment Resistance in Compression/((Constant j*Width of Beam*(Distance to Centroid of Tensile Steel^2))*(Constant k+2*Modular Ratio for Elastic Shortening*Value of ρ')*(1-(Distance to Centroid of Compressive Steel/(Constant k*Distance to Centroid of Tensile Steel))))
Moment Resistance in Compression
Go Moment Resistance in Compression = 0.5*(Stress in Extreme Compression Surface*Constant j*Width of Beam*(Distance to Centroid of Tensile Steel^2))*(Constant k+2*Modular Ratio for Elastic Shortening*Value of ρ'*(1-(Distance to Centroid of Compressive Steel/(Constant k*Distance to Centroid of Tensile Steel))))
Stress in Tensile Steel to Stress in Extreme Compression Surface Ratio
Go Tensile to Compressive Stress Ratio = (Ratio of Depth)/2*(Tension Reinforcement Ratio-((Compression Reinforcement Ratio*(Distance from Compression Fiber to NA-Effective Cover))/(Centroidal Distance of Tension Reinforcement-Distance from Compression Fiber to NA)))
Moment Resisting Capacity of Compressive Steel given Stress
Go Moment Resistance of Compressive Steel = 2*Stress in Compressive Steel*Area of Compression Reinforcement*(Distance to Centroid of Tensile Steel-Distance to Centroid of Compressive Steel)
Moment Resistance of Tensile Steel given Area
Go Moment Resistance of Tensile Steel = (Area of Steel required)*(Tensile Stress in Steel)*(Distance between Reinforcements)
Total Compressive force on Beam Cross Section
Go Total Compression on Beam = Total Compression on Concrete+Force on Compressive Steel
Total Compression on Concrete
Go Total Compression on Beam = Force on Compressive Steel+Total Compression on Concrete
Force Acting on Compressive Steel
Go Force on Compressive Steel = Force on Tension Steel-Total Compression on Concrete
Force Acting on Tensile Steel
Go Force on Tension Steel = Total Compression on Concrete+Force on Compressive Steel

Total Compressive force on Beam Cross Section Formula

Total Compression on Beam = Total Compression on Concrete+Force on Compressive Steel
Cb = Cc+Cs'

What is Working Stress Method?

It is a method used for the reinforced concrete design where concrete is assumed as Elastic, Steel and Concrete act together elastically where the relation ship between loads and stresses is linear .

How to Calculate Total Compressive force on Beam Cross Section?

Total Compressive force on Beam Cross Section calculator uses Total Compression on Beam = Total Compression on Concrete+Force on Compressive Steel to calculate the Total Compression on Beam, The Total compressive force on beam cross section is defined as sum of compressive force on concrete and force on compressive steel. This is used in working stress design of concrete. Total Compression on Beam is denoted by Cb symbol.

How to calculate Total Compressive force on Beam Cross Section using this online calculator? To use this online calculator for Total Compressive force on Beam Cross Section, enter Total Compression on Concrete (Cc) & Force on Compressive Steel (Cs') and hit the calculate button. Here is how the Total Compressive force on Beam Cross Section calculation can be explained with given input values -> 760.2 = 750+10.2.

FAQ

What is Total Compressive force on Beam Cross Section?
The Total compressive force on beam cross section is defined as sum of compressive force on concrete and force on compressive steel. This is used in working stress design of concrete and is represented as Cb = Cc+Cs' or Total Compression on Beam = Total Compression on Concrete+Force on Compressive Steel. Total Compression on Concrete is the total compressive force acting on the section & Force on Compressive Steel is the total force acting on the compressive reinforcement alone in the section.
How to calculate Total Compressive force on Beam Cross Section?
The Total compressive force on beam cross section is defined as sum of compressive force on concrete and force on compressive steel. This is used in working stress design of concrete is calculated using Total Compression on Beam = Total Compression on Concrete+Force on Compressive Steel. To calculate Total Compressive force on Beam Cross Section, you need Total Compression on Concrete (Cc) & Force on Compressive Steel (Cs'). With our tool, you need to enter the respective value for Total Compression on Concrete & Force on Compressive Steel and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Total Compression on Beam?
In this formula, Total Compression on Beam uses Total Compression on Concrete & Force on Compressive Steel. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Total Compression on Beam = Force on Compressive Steel+Total Compression on Concrete
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