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Total Horizontal Shear Formula

GoTotal Horizontal Shear to be Resisted by Shear Connectors Formula

GoTotal Horizontal Shear between Interior Support and Point of Contraflexure Formula

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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. Check FAQs

V h = \frac{0.85 \cdot f c \cdot A c}{2}

V_h - Total Horizontal Shear?f_c - 28-Day Compressive Strength of Concrete?A_c - Actual Area of Effective Concrete Flange?

Total Horizontal Shear Example

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Here is how the Total Horizontal Shear equation looks like with Values.

Here is how the Total Horizontal Shear equation looks like with Units.

Here is how the Total Horizontal Shear equation looks like.

4207.5 = \frac{0.85 \cdot 49.5 \cdot 200000}{2}

4207.5kN = \frac{0.85 \cdot 49.5MPa \cdot 200000mm²}{2}

4207.5 = \frac{0.85 \cdot 49.5 \cdot 200000}{2}

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Total Horizontal Shear Solution

Follow our step by step solution on how to calculate Total Horizontal Shear?

FIRST Step Consider the formula

V h = \frac{0.85 \cdot f c \cdot A c}{2}

Next Step Substitute values of Variables

∴

V h = \frac{0.85 \cdot 49.5MPa \cdot 200000mm²}{2}

Next Step Convert Units

∴

V h = \frac{0.85 \cdot 5E+7Pa \cdot 0.2m²}{2}

Next Step Prepare to Evaluate

∴

V h = \frac{0.85 \cdot 5E+7 \cdot 0.2}{2}

Next Step Evaluate

∴

V h = 4207500N

LAST Step Convert to Output's Unit

∴

V h = 4207.5kN

Total Horizontal Shear Formula Elements

Variables

Total Horizontal Shear

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.

Symbol: V_h

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Total Horizontal Shear

28-Day Compressive Strength of Concrete

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.

Symbol: f_c

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find 28-Day Compressive Strength of Concrete

Actual Area of Effective Concrete Flange

Actual Area of Effective Concrete Flange is the equivalent area of the flange section in terms of concrete.

Symbol: A_c

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Actual Area of Effective Concrete Flange

Other Formulas to find Total Horizontal Shear

Go Total Horizontal Shear to be Resisted by Shear Connectors

V h = \frac{A s \cdot F y}{2}

Go Total Horizontal Shear between Interior Support and Point of Contraflexure

V h = \frac{A sr \cdot F yr}{2}

Other formulas in Shear on Connectors category

Go Specified Compressive Strength of Concrete given Total Horizontal Shear

f c = \frac{2 \cdot V h}{0.85 \cdot A c}

Go Actual Area of Effective Concrete Flange given Total Horizontal Shear

A c = \frac{2 \cdot V h}{0.85 \cdot f c}

Go Area of Steel Beam given Total Horizontal Shear to be Resisted by Shear Connectors

A s = \frac{2 \cdot V h}{F y}

Go Yield Strength of Steel given Total Horizontal Shear to be Resisted by Shear Connectors

F y = \frac{2 \cdot V h}{A s}

How to Evaluate Total Horizontal Shear?

Total Horizontal Shear evaluator uses Total Horizontal Shear = (0.85*28-Day Compressive Strength of Concrete*Actual Area of Effective Concrete Flange)/2 to evaluate 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 V_h symbol.

How to evaluate Total Horizontal Shear using this online evaluator? To use this online evaluator for Total Horizontal Shear, enter 28-Day Compressive Strength of Concrete (f_c) & Actual Area of Effective Concrete Flange (A_c) and hit the calculate button.

FAQs on Total Horizontal Shear

What is the formula to find Total Horizontal Shear?

The formula of Total Horizontal Shear is expressed as Total Horizontal Shear = (0.85*28-Day Compressive Strength of Concrete*Actual Area of Effective Concrete Flange)/2. Here is an example- 4207.5 = (0.85*49500000*0.2)/2.

How to calculate Total Horizontal Shear?

With 28-Day Compressive Strength of Concrete (f_c) & Actual Area of Effective Concrete Flange (A_c) we can find Total Horizontal Shear using the formula - Total Horizontal Shear = (0.85*28-Day Compressive Strength of Concrete*Actual Area of Effective Concrete Flange)/2.

What are the other ways to Calculate Total Horizontal Shear?

Here are the different ways to Calculate Total Horizontal Shear-

Total Horizontal Shear=(Area of Steel Beam*Yield Stress of Steel)/2
Total Horizontal Shear=(Area of Longitudinal Reinforcement*Specified Minimum Yield Stress)/2

Can the Total Horizontal Shear be negative?

Yes, the Total Horizontal Shear, measured in Force can be negative.

Which unit is used to measure Total Horizontal Shear?

Total Horizontal Shear is usually measured using the Kilonewton[kN] for Force. Newton[kN], Exanewton[kN], Meganewton[kN] are the few other units in which Total Horizontal Shear can be measured.

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