Shear reinforcement area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Shear reinforcement area = (50*Width of Beam Web*Stirrup Spacing)/Yield Strength of Steel
Av = (50*bw*s)/fy
This formula uses 4 Variables
Variables Used
Shear reinforcement area - (Measured in Square Meter) - Shear reinforcement area is designed to resist shear forces in excess of the shear strength of concrete.
Width of Beam Web - (Measured in Meter) - Width of Beam Web is the distance between the two external points of beam web section.
Stirrup Spacing - (Measured in Meter) - Stirrup Spacing is the approximate minimum spacing between two bars in a section.
Yield Strength of Steel - (Measured in Newton per Square Millimeter) - Yield Strength of Steel is the level of stress that corresponds to the yield point.
STEP 1: Convert Input(s) to Base Unit
Width of Beam Web: 50.00011 Millimeter --> 0.05000011 Meter (Check conversion here)
Stirrup Spacing: 50.1 Millimeter --> 0.0501 Meter (Check conversion here)
Yield Strength of Steel: 250 Megapascal --> 250 Newton per Square Millimeter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Av = (50*bw*s)/fy --> (50*0.05000011*0.0501)/250
Evaluating ... ...
Av = 0.0005010011022
STEP 3: Convert Result to Output's Unit
0.0005010011022 Square Meter -->501.0011022 Square Millimeter (Check conversion here)
FINAL ANSWER
501.0011022 Square Millimeter <-- Shear reinforcement area
(Calculation completed in 00.047 seconds)

Credits

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3 Ultimate Strength Design for Torsion Calculators

Spacing of closed stirrups for torsion

Spacing of closed stirrups for torsion

Formula
`"s"_{"bars"} = ("A"_{"t"}*"φ"*"f"_{"st"}*"α"_{"t"}*"x"_{"stirrup"}*"y"_{"1"})/("T"_{"u"}-"φ"*"T"_{"c"})`

Example
`"69.41658mm"=("100.00011mm²"*"0.85"*"35kPa"*"3.5"*"200mm"*"500.0001mm")/("100.00014N*m"-"0.85"*"100.00012N/m²")`

Calculator
LaTeX
Go Stirrup Spacing between Bars = (Area of one leg of closed stirrup*Capacity reduction factor*Yield Strength of Steel Reinforcement*Coefficient*Shorter Dimension between Legs of Closed Stirrup*Longer Dimension Legs of Closed Stirrup)/(Ultimate Design Torsional Moment-Capacity reduction factor*Maximum Concrete Torsion)
Maximum ultimate torsion for torsion effects

Maximum ultimate torsion for torsion effects

Formula
`"T"_{"u"} = "φ"*(0.5*sqrt("f"_{"c"})*("Σa"^{"2"}"b"))`

Example
`"101.6648N*m"="0.85"*(0.5*sqrt("49.5MPa")*"34")`

Calculator
LaTeX
Go Ultimate Design Torsional Moment = Capacity reduction factor*(0.5*sqrt(28 Day Compressive Strength of Concrete)*Sum of Component Rectangles for cross Section)
Shear reinforcement area

Shear reinforcement area

Formula
`"A"_{"v"} = (50*"b"_{"w"}*"s")/"f"_{"y"}`

Example
`"501.0011mm²"=(50*"50.00011mm"*"50.1mm")/"250MPa"`

Calculator
LaTeX
Go Shear reinforcement area = (50*Width of Beam Web*Stirrup Spacing)/Yield Strength of Steel

Shear reinforcement area Formula

Shear reinforcement area = (50*Width of Beam Web*Stirrup Spacing)/Yield Strength of Steel
Av = (50*bw*s)/fy

What is Shear reinforcement area?

Shear reinforcement area is designed to resist shear forces in excess of the shear strength of concrete.

What are stirrups?

In construction, a stirrup's meaning is an enclosed steel ring that supplements extra reinforcement to beams and bars, preventing deformation or crumple under the brick and mortar weight. The main purposes of stirrups in construction are as follows: It enhances the comprehensive strength of beams and columns

How to Calculate Shear reinforcement area?

Shear reinforcement area calculator uses Shear reinforcement area = (50*Width of Beam Web*Stirrup Spacing)/Yield Strength of Steel to calculate the Shear reinforcement area, The Shear reinforcement area is defined as is designed to resist shear forces in excess of the shear strength of concrete. Shear reinforcement area is denoted by Av symbol.

How to calculate Shear reinforcement area using this online calculator? To use this online calculator for Shear reinforcement area, enter Width of Beam Web (bw), Stirrup Spacing (s) & Yield Strength of Steel (fy) and hit the calculate button. Here is how the Shear reinforcement area calculation can be explained with given input values -> 0.000501 = (50*0.05000011*0.0501)/250000000.

FAQ

What is Shear reinforcement area?
The Shear reinforcement area is defined as is designed to resist shear forces in excess of the shear strength of concrete and is represented as Av = (50*bw*s)/fy or Shear reinforcement area = (50*Width of Beam Web*Stirrup Spacing)/Yield Strength of Steel. Width of Beam Web is the distance between the two external points of beam web section, Stirrup Spacing is the approximate minimum spacing between two bars in a section & Yield Strength of Steel is the level of stress that corresponds to the yield point.
How to calculate Shear reinforcement area?
The Shear reinforcement area is defined as is designed to resist shear forces in excess of the shear strength of concrete is calculated using Shear reinforcement area = (50*Width of Beam Web*Stirrup Spacing)/Yield Strength of Steel. To calculate Shear reinforcement area, you need Width of Beam Web (bw), Stirrup Spacing (s) & Yield Strength of Steel (fy). With our tool, you need to enter the respective value for Width of Beam Web, Stirrup Spacing & Yield Strength of 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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