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Maximum Shear Force in I Section Formula

GoShear Force at Junction of Top of Web Formula

GoShear Force in Web Formula

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Shear Force on Beam is the force which causes shear deformation to occur in the shear plane. Check FAQs

F s = \frac{𝜏 max \cdot I \cdot b}{\frac{B \cdot (D^{2} - d^{2})}{8} + \frac{b \cdot d^{2}}{8}}

F_s - Shear Force on Beam?𝜏_max - Maximum Shear Stress on Beam?I - Moment of Inertia of Area of Section?b - Thickness of Beam Web?B - Width of Beam Section?D - Outer Depth of I section?d - Inner Depth of I Section?

Maximum Shear Force in I Section Example

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Here is how the Maximum Shear Force in I Section equation looks like with Values.

Here is how the Maximum Shear Force in I Section equation looks like with Units.

Here is how the Maximum Shear Force in I Section equation looks like.

0.1281 = \frac{11 \cdot 0.0017 \cdot 7}{\frac{100 \cdot (9000^{2} - 450^{2})}{8} + \frac{7 \cdot 450^{2}}{8}}

0.1281kN = \frac{11MPa \cdot 0.0017m⁴ \cdot 7mm}{\frac{100mm \cdot ({9000mm}^{2} - {450mm}^{2})}{8} + \frac{7mm \cdot {450mm}^{2}}{8}}

0.1281 = \frac{11 \cdot 0.0017 \cdot 7}{\frac{100 \cdot (9000^{2} - 450^{2})}{8} + \frac{7 \cdot 450^{2}}{8}}

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Maximum Shear Force in I Section Solution

Follow our step by step solution on how to calculate Maximum Shear Force in I Section?

FIRST Step Consider the formula

F s = \frac{𝜏 max \cdot I \cdot b}{\frac{B \cdot (D^{2} - d^{2})}{8} + \frac{b \cdot d^{2}}{8}}

Next Step Substitute values of Variables

∴

F s = \frac{11MPa \cdot 0.0017m⁴ \cdot 7mm}{\frac{100mm \cdot ({9000mm}^{2} - {450mm}^{2})}{8} + \frac{7mm \cdot {450mm}^{2}}{8}}

Next Step Convert Units

∴

F s = \frac{1.1E+7Pa \cdot 0.0017m⁴ \cdot 0.007m}{\frac{0.1m \cdot ({9m}^{2} - {0.45m}^{2})}{8} + \frac{0.007m \cdot {0.45m}^{2}}{8}}

Next Step Prepare to Evaluate

∴

F s = \frac{1.1E+7 \cdot 0.0017 \cdot 0.007}{\frac{0.1 \cdot (9^{2} - {0.45}^{2})}{8} + \frac{0.007 \cdot {0.45}^{2}}{8}}

Next Step Evaluate

∴

F s = 128.060704099995N

Next Step Convert to Output's Unit

∴

F s = 0.128060704099995kN

LAST Step Rounding Answer

∴

F s = 0.1281kN

Maximum Shear Force in I Section Formula Elements

Variables

Shear Force on Beam

Shear Force on Beam is the force which causes shear deformation to occur in the shear plane.

Symbol: F_s

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Shear Force on Beam

Maximum Shear Stress on Beam

Maximum Shear Stress on Beam that acts coplanar with a cross-section of material arises due to shear forces.

Symbol: 𝜏_max

Measurement: PressureUnit: MPa

Note: Value can be positive or negative.

Formulas to find Maximum Shear Stress on Beam

Moment of Inertia of Area of Section

Moment of Inertia of Area of Section is the second moment of the area of the section about the neutral axis.

Symbol: I

Measurement: Second Moment of AreaUnit: m⁴