Bond Stress on Bar Surface Solution

STEP 0: Pre-Calculation Summary
Formula Used
Bond Stress on Surface of Bar = Total Shear Force/(Constant j*Effective Depth of Beam*Perimeter Sum of Tensile Bars)
u = ΣS/(j*deff*Summation0)
This formula uses 5 Variables
Variables Used
Bond Stress on Surface of Bar - (Measured in Pascal) - Bond Stress on Surface of Bar is the force of adhesion per unit area of contact between two bonded surfaces.
Total Shear Force - (Measured in Newton) - Total shear force acting on the slice under the consideration.
Constant j - Constant j is the ratio of the distance between the centroid of compression and the centroid of tension to depth d.
Effective Depth of Beam - (Measured in Meter) - Effective Depth of Beam is the distance from the centroid of tension steel to the outermost face of the compression fiber.
Perimeter Sum of Tensile Bars - (Measured in Meter) - Perimeter Sum of Tensile Bars is the sum of perimeters of tensile reinforcing bars in beams.
STEP 1: Convert Input(s) to Base Unit
Total Shear Force: 320 Newton --> 320 Newton No Conversion Required
Constant j: 0.8 --> No Conversion Required
Effective Depth of Beam: 4 Meter --> 4 Meter No Conversion Required
Perimeter Sum of Tensile Bars: 10.01 Meter --> 10.01 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
u = ΣS/(j*deff*Summation0) --> 320/(0.8*4*10.01)
Evaluating ... ...
u = 9.99000999000999
STEP 3: Convert Result to Output's Unit
9.99000999000999 Pascal -->9.99000999000999 Newton per Square Meter (Check conversion here)
FINAL ANSWER
9.99000999000999 9.99001 Newton per Square Meter <-- Bond Stress on Surface of Bar
(Calculation completed in 00.020 seconds)

Credits

Created by Rudrani Tidke
Cummins College of Engineering for Women (CCEW), Pune
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Indian Institute of Information Technology (IIIT), Bhopal
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4 Bond and Anchorage for Reinforcing Bars Calculators

Tensile Reinforcing Bars Perimeters Sum given Bond Stress on Bar Surface
Go Perimeter Sum of Tensile Bars = Total Shear Force/(Constant j*Effective Depth of Beam*Bond Stress on Surface of Bar)
Beam Effective Depth given Bond Stress on Bar Surface
Go Effective Depth of Beam = Total Shear Force/(Constant j*Bond Stress on Surface of Bar*Perimeter Sum of Tensile Bars)
Total Shear given Bond Stress on Bar Surface
Go Total Shear Force = Bond Stress on Surface of Bar*(Constant j*Effective Depth of Beam*Perimeter Sum of Tensile Bars)
Bond Stress on Bar Surface
Go Bond Stress on Surface of Bar = Total Shear Force/(Constant j*Effective Depth of Beam*Perimeter Sum of Tensile Bars)

Bond Stress on Bar Surface Formula

Bond Stress on Surface of Bar = Total Shear Force/(Constant j*Effective Depth of Beam*Perimeter Sum of Tensile Bars)
u = ΣS/(j*deff*Summation0)

What is design bond stress?

The design bond stress τbd is defined as the shear force per unit nominal surface area of reinforcing bar. The stress is acting on the interface between bars and surrounding concrete and along the direction parallel to the bars.

How to Calculate Bond Stress on Bar Surface?

Bond Stress on Bar Surface calculator uses Bond Stress on Surface of Bar = Total Shear Force/(Constant j*Effective Depth of Beam*Perimeter Sum of Tensile Bars) to calculate the Bond Stress on Surface of Bar, The Bond Stress on Bar Surface formula is defined as the force of adhesion per unit area of contact between two bonded surfaces, such as between concrete and a steel reinforcing bar. Bond Stress on Surface of Bar is denoted by u symbol.

How to calculate Bond Stress on Bar Surface using this online calculator? To use this online calculator for Bond Stress on Bar Surface, enter Total Shear Force (ΣS), Constant j (j), Effective Depth of Beam (deff) & Perimeter Sum of Tensile Bars (Summation0) and hit the calculate button. Here is how the Bond Stress on Bar Surface calculation can be explained with given input values -> 10 = 320/(0.8*4*10.01).

FAQ

What is Bond Stress on Bar Surface?
The Bond Stress on Bar Surface formula is defined as the force of adhesion per unit area of contact between two bonded surfaces, such as between concrete and a steel reinforcing bar and is represented as u = ΣS/(j*deff*Summation0) or Bond Stress on Surface of Bar = Total Shear Force/(Constant j*Effective Depth of Beam*Perimeter Sum of Tensile Bars). Total shear force acting on the slice under the consideration, Constant j is the ratio of the distance between the centroid of compression and the centroid of tension to depth d, Effective Depth of Beam is the distance from the centroid of tension steel to the outermost face of the compression fiber & Perimeter Sum of Tensile Bars is the sum of perimeters of tensile reinforcing bars in beams.
How to calculate Bond Stress on Bar Surface?
The Bond Stress on Bar Surface formula is defined as the force of adhesion per unit area of contact between two bonded surfaces, such as between concrete and a steel reinforcing bar is calculated using Bond Stress on Surface of Bar = Total Shear Force/(Constant j*Effective Depth of Beam*Perimeter Sum of Tensile Bars). To calculate Bond Stress on Bar Surface, you need Total Shear Force (ΣS), Constant j (j), Effective Depth of Beam (deff) & Perimeter Sum of Tensile Bars (Summation0). With our tool, you need to enter the respective value for Total Shear Force, Constant j, Effective Depth of Beam & Perimeter Sum of Tensile Bars 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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