Total Horizontal Shear Solution

STEP 0: Pre-Calculation Summary
Formula Used
Total Horizontal Shear = (0.85*28-Day Compressive Strength of Concrete*Actual Area of Effective Concrete Flange)/2
Vh = (0.85*fc*Ac)/2
This formula uses 3 Variables
Variables Used
Total Horizontal Shear - (Measured in Newton) - Total Horizontal Shear is the shear force between the maximum positive moment at each end of steel beams or between the point of contra flexure in a continuous beam.
28-Day Compressive Strength of Concrete - (Measured in Pascal) - 28-Day Compressive Strength of Concrete is a common measure of the concrete’s ability to withstand an applied load determined by casting concrete in a mould, curing for 28 days & testing in a CTM.
Actual Area of Effective Concrete Flange - (Measured in Square Meter) - Actual Area of Effective Concrete Flange is the equivalent area of the flange section in terms of concrete.
STEP 1: Convert Input(s) to Base Unit
28-Day Compressive Strength of Concrete: 49.5 Megapascal --> 49500000 Pascal (Check conversion here)
Actual Area of Effective Concrete Flange: 200000 Square Millimeter --> 0.2 Square Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vh = (0.85*fc*Ac)/2 --> (0.85*49500000*0.2)/2
Evaluating ... ...
Vh = 4207500
STEP 3: Convert Result to Output's Unit
4207500 Newton -->4207.5 Kilonewton (Check conversion here)
FINAL ANSWER
4207.5 Kilonewton <-- Total Horizontal Shear
(Calculation completed in 00.004 seconds)

Credits

Created by M Naveen
National Institute of Technology (NIT), Warangal
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NSS College of Engineering (NSSCE), Palakkad
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9 Shear on Connectors Calculators

Specified Compressive Strength of Concrete given Total Horizontal Shear
Go 28-Day Compressive Strength of Concrete = (2*Total Horizontal Shear)/(0.85*Actual Area of Effective Concrete Flange)
Actual Area of Effective Concrete Flange given Total Horizontal Shear
Go Actual Area of Effective Concrete Flange = (2*Total Horizontal Shear)/(0.85*28-Day Compressive Strength of Concrete)
Total Horizontal Shear
Go Total Horizontal Shear = (0.85*28-Day Compressive Strength of Concrete*Actual Area of Effective Concrete Flange)/2
Area of Longitudinal Reinforcement at Support within Effective Area given Total Horizontal Shear
Go Area of Longitudinal Reinforcement = (2*Total Horizontal Shear)/Specified Minimum Yield Stress
Specified Minimum Yield Stress of Longitudinal Reinforcement given Total Horizontal Shear
Go Specified Minimum Yield Stress = (2*Total Horizontal Shear)/Area of Longitudinal Reinforcement
Total Horizontal Shear between Interior Support and Point of Contraflexure
Go Total Horizontal Shear = (Area of Longitudinal Reinforcement*Specified Minimum Yield Stress)/2
Yield Strength of Steel given Total Horizontal Shear to be Resisted by Shear Connectors
Go Yield Stress of Steel = (2*Total Horizontal Shear)/Area of Steel Beam
Area of Steel Beam given Total Horizontal Shear to be Resisted by Shear Connectors
Go Area of Steel Beam = (2*Total Horizontal Shear)/Yield Stress of Steel
Total Horizontal Shear to be Resisted by Shear Connectors
Go Total Horizontal Shear = (Area of Steel Beam*Yield Stress of Steel)/2

Total Horizontal Shear Formula

Total Horizontal Shear = (0.85*28-Day Compressive Strength of Concrete*Actual Area of Effective Concrete Flange)/2
Vh = (0.85*fc*Ac)/2

What is Compressive Strength of Concrete?

The Compressive Strength or Compression Strength is the capacity of a material or structure to withstand loads tending to reduce size, as opposed to which withstands loads tending to elongate.

What is a Shear Connector?

The Shear Connector is the steel projection provided on the top flange of steel in a span of a construction building with heavy concentrated loads.

How to Calculate Total Horizontal Shear?

Total Horizontal Shear calculator uses Total Horizontal Shear = (0.85*28-Day Compressive Strength of Concrete*Actual Area of Effective Concrete Flange)/2 to calculate the Total Horizontal Shear, The Total Horizontal Shear formula is defined as a measure of the resistance to shear stress along the longitudinal axis of a member. Total Horizontal Shear is denoted by Vh symbol.

How to calculate Total Horizontal Shear using this online calculator? To use this online calculator for Total Horizontal Shear, enter 28-Day Compressive Strength of Concrete (fc) & Actual Area of Effective Concrete Flange (Ac) and hit the calculate button. Here is how the Total Horizontal Shear calculation can be explained with given input values -> 4207.5 = (0.85*49500000*0.2)/2.

FAQ

What is Total Horizontal Shear?
The Total Horizontal Shear formula is defined as a measure of the resistance to shear stress along the longitudinal axis of a member and is represented as Vh = (0.85*fc*Ac)/2 or Total Horizontal Shear = (0.85*28-Day Compressive Strength of Concrete*Actual Area of Effective Concrete Flange)/2. 28-Day Compressive Strength of Concrete is a common measure of the concrete’s ability to withstand an applied load determined by casting concrete in a mould, curing for 28 days & testing in a CTM & Actual Area of Effective Concrete Flange is the equivalent area of the flange section in terms of concrete.
How to calculate Total Horizontal Shear?
The Total Horizontal Shear formula is defined as a measure of the resistance to shear stress along the longitudinal axis of a member is calculated using Total Horizontal Shear = (0.85*28-Day Compressive Strength of Concrete*Actual Area of Effective Concrete Flange)/2. To calculate Total Horizontal Shear, you need 28-Day Compressive Strength of Concrete (fc) & Actual Area of Effective Concrete Flange (Ac). With our tool, you need to enter the respective value for 28-Day Compressive Strength of Concrete & Actual Area of Effective Concrete Flange 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 Horizontal Shear?
In this formula, Total Horizontal Shear uses 28-Day Compressive Strength of Concrete & Actual Area of Effective Concrete Flange. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Total Horizontal Shear = (Area of Steel Beam*Yield Stress of Steel)/2
  • Total Horizontal Shear = (Area of Longitudinal Reinforcement*Specified Minimum Yield Stress)/2
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