Total Shear given Bond Stress on Bar Surface Solution

STEP 0: Pre-Calculation Summary
Formula Used
Total Shear Force = Bond Stress on Surface of Bar*(Constant j*Effective Depth of Beam*Perimeter Sum of Tensile Bars)
ΣS = u*(j*deff*Summation0)
This formula uses 5 Variables
Variables Used
Total Shear Force - (Measured in Newton) - Total shear force acting on the slice under the consideration.
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.
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
Bond Stress on Surface of Bar: 10 Newton per Square Meter --> 10 Pascal (Check conversion ​here)
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
ΣS = u*(j*deff*Summation0) --> 10*(0.8*4*10.01)
Evaluating ... ...
ΣS = 320.32
STEP 3: Convert Result to Output's Unit
320.32 Newton --> No Conversion Required
FINAL ANSWER
320.32 Newton <-- Total Shear Force
(Calculation completed in 00.020 seconds)

Credits

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Created by Rudrani Tidke
Cummins College of Engineering for Women (CCEW), Pune
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Osmania University (OU), Hyderabad
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Bond and Anchorage for Reinforcing Bars Calculators

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

Total Shear given Bond Stress on Bar Surface Formula

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

What is shear force in beam?

Shear force is the force in the beam acting perpendicular to its longitudinal (x) axis. For design purposes, the beam's ability to resist shear force is more important than its ability to resist an axial force.

How to Calculate Total Shear given Bond Stress on Bar Surface?

Total Shear given Bond Stress on Bar Surface calculator uses Total Shear Force = Bond Stress on Surface of Bar*(Constant j*Effective Depth of Beam*Perimeter Sum of Tensile Bars) to calculate the Total Shear Force, The Total Shear given Bond Stress on Bar Surface formula is defined as the total force applied perpendicular to a surface, in opposition to an offset force acting in the opposite direction. This results in a shear strain. Total Shear Force is denoted by ΣS symbol.

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

FAQ

What is Total Shear given Bond Stress on Bar Surface?
The Total Shear given Bond Stress on Bar Surface formula is defined as the total force applied perpendicular to a surface, in opposition to an offset force acting in the opposite direction. This results in a shear strain and is represented as ΣS = u*(j*deff*Summation0) or Total Shear Force = Bond Stress on Surface of Bar*(Constant j*Effective Depth of Beam*Perimeter Sum of Tensile Bars). Bond Stress on Surface of Bar is the force of adhesion per unit area of contact between two bonded surfaces, 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 Total Shear given Bond Stress on Bar Surface?
The Total Shear given Bond Stress on Bar Surface formula is defined as the total force applied perpendicular to a surface, in opposition to an offset force acting in the opposite direction. This results in a shear strain is calculated using Total Shear Force = Bond Stress on Surface of Bar*(Constant j*Effective Depth of Beam*Perimeter Sum of Tensile Bars). To calculate Total Shear given Bond Stress on Bar Surface, you need Bond Stress on Surface of Bar (u), 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 Bond Stress on Surface of Bar, 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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