Excess Shear given Vertical Stirrup Leg Area for Single Bar Bent at Angle a Calculator

✖Stirrup Area is the total cross-sectional area of the stirrup bars used.ⓘ Stirrup Area [A_v]			+10% -10%
✖Allowable stress in stirrup steel is 55% of those for ultimate strength design.ⓘ Allowable Stress in Stirrup Steel [f_v]			+10% -10%
✖Angle at which Stirrup is Inclined series constitutes bars that are bent up at different distances from the support or when the stirrup is inclined.ⓘ Angle at which Stirrup is Inclined [α]			+10% -10%

✖Excess shear given Vertical Stirrup Leg Area is a measure that can be evaluated numerically and can be used in an assessment of the possible magnitude and relative likelihood of seismic activity.ⓘ Excess Shear given Vertical Stirrup Leg Area for Single Bar Bent at Angle a [V'_vsl]

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Excess Shear given Vertical Stirrup Leg Area for Single Bar Bent at Angle a Solution

STEP 0: Pre-Calculation Summary

Formula Used

Excess Shear given Vertical Stirrup Leg Area = Stirrup Area*Allowable Stress in Stirrup Steel*sin(Angle at which Stirrup is Inclined)
V'_vsl = A_v*f_v*sin(α)
This formula uses 1 Functions, 4 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)

Variables Used

Excess Shear given Vertical Stirrup Leg Area - (Measured in Pascal) - Excess shear given Vertical Stirrup Leg Area is a measure that can be evaluated numerically and can be used in an assessment of the possible magnitude and relative likelihood of seismic activity.
Stirrup Area - (Measured in Square Meter) - Stirrup Area is the total cross-sectional area of the stirrup bars used.
Allowable Stress in Stirrup Steel - (Measured in Pascal) - Allowable stress in stirrup steel is 55% of those for ultimate strength design.
Angle at which Stirrup is Inclined - (Measured in Radian) - Angle at which Stirrup is Inclined series constitutes bars that are bent up at different distances from the support or when the stirrup is inclined.

STEP 1: Convert Input(s) to Base Unit

Stirrup Area: 500 Square Millimeter --> 0.0005 Square Meter (Check conversion here)
Allowable Stress in Stirrup Steel: 35 Megapascal --> 35000000 Pascal (Check conversion here)
Angle at which Stirrup is Inclined: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V'_vsl = A_v*f_v*sin(α) --> 0.0005*35000000*sin(0.5235987755982)

Evaluating ... ...

V'_vsl = 8750

STEP 3: Convert Result to Output's Unit

8750 Pascal -->8750 Newton per Square Meter (Check conversion here)

FINAL ANSWER

8750 Newton per Square Meter <-- Excess Shear given Vertical Stirrup Leg Area

(Calculation completed in 00.018 seconds)

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Created by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< Allowable Shear Calculators

Area Required in Legs of Vertical Stirrup

LaTeX Go Stirrup Area = (Excess Shear*Stirrup Spacing)/(Allowable Stress in Stirrup Steel*Compression to Centroid Reinforcement Distance)

Distance from Extreme Compression to Centroid given Nominal Unit Shear Stress

LaTeX Go Compression to Centroid Reinforcement Distance = Total Shear/(Beam Width for Nominal Shear*Nominal Shear Stress)

Nominal Unit Shear Stress

LaTeX Go Nominal Shear Stress = Total Shear/(Beam Width for Nominal Shear*Compression to Centroid Reinforcement Distance)

Shear given Nominal Unit Shear Stress

LaTeX Go Total Shear = Beam Width for Nominal Shear*Compression to Centroid Reinforcement Distance*Nominal Shear Stress

Excess Shear given Vertical Stirrup Leg Area for Single Bar Bent at Angle a Formula

LaTeX Go

Excess Shear given Vertical Stirrup Leg Area = Stirrup Area*Allowable Stress in Stirrup Steel*sin(Angle at which Stirrup is Inclined)
V'_vsl = A_v*f_v*sin(α)

What is Single Bent Bar?

A single bent bar is provided to counter the shear force at supports. They also increase the deformation capacity.

What is Shear Stress?

Shear stress is a force that tends to cause the deformation of a material by slippage along a plane or planes parallel to the imposed stress.

How to Calculate Excess Shear given Vertical Stirrup Leg Area for Single Bar Bent at Angle a?

Excess Shear given Vertical Stirrup Leg Area for Single Bar Bent at Angle a calculator uses Excess Shear given Vertical Stirrup Leg Area = Stirrup Area*Allowable Stress in Stirrup Steel*sin(Angle at which Stirrup is Inclined) to calculate the Excess Shear given Vertical Stirrup Leg Area, The Excess Shear given Vertical Stirrup Leg Area for Single Bar Bent at Angle a formula is defined as it is used to calculate the excess shear (V'= V - Vcbd) which is resisted by stirrups and bent-up bars. Excess Shear given Vertical Stirrup Leg Area is denoted by V'_vsl symbol.

How to calculate Excess Shear given Vertical Stirrup Leg Area for Single Bar Bent at Angle a using this online calculator? To use this online calculator for Excess Shear given Vertical Stirrup Leg Area for Single Bar Bent at Angle a, enter Stirrup Area (A_v), Allowable Stress in Stirrup Steel (f_v) & Angle at which Stirrup is Inclined (α) and hit the calculate button. Here is how the Excess Shear given Vertical Stirrup Leg Area for Single Bar Bent at Angle a calculation can be explained with given input values -> 8750 = 0.0005*35000000*sin(0.5235987755982).

FAQ

What is Excess Shear given Vertical Stirrup Leg Area for Single Bar Bent at Angle a?

The Excess Shear given Vertical Stirrup Leg Area for Single Bar Bent at Angle a formula is defined as it is used to calculate the excess shear (V'= V - Vcbd) which is resisted by stirrups and bent-up bars and is represented as V'_vsl = A_v*f_v*sin(α) or Excess Shear given Vertical Stirrup Leg Area = Stirrup Area*Allowable Stress in Stirrup Steel*sin(Angle at which Stirrup is Inclined). Stirrup Area is the total cross-sectional area of the stirrup bars used, Allowable stress in stirrup steel is 55% of those for ultimate strength design & Angle at which Stirrup is Inclined series constitutes bars that are bent up at different distances from the support or when the stirrup is inclined.

How to calculate Excess Shear given Vertical Stirrup Leg Area for Single Bar Bent at Angle a?

The Excess Shear given Vertical Stirrup Leg Area for Single Bar Bent at Angle a formula is defined as it is used to calculate the excess shear (V'= V - Vcbd) which is resisted by stirrups and bent-up bars is calculated using Excess Shear given Vertical Stirrup Leg Area = Stirrup Area*Allowable Stress in Stirrup Steel*sin(Angle at which Stirrup is Inclined). To calculate Excess Shear given Vertical Stirrup Leg Area for Single Bar Bent at Angle a, you need Stirrup Area (A_v), Allowable Stress in Stirrup Steel (f_v) & Angle at which Stirrup is Inclined (α). With our tool, you need to enter the respective value for Stirrup Area, Allowable Stress in Stirrup Steel & Angle at which Stirrup is Inclined 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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