Maximum Shear Force in I Section Calculator

✖Maximum Shear Stress on Beam that acts coplanar with a cross-section of material arises due to shear forces.ⓘ Maximum Shear Stress on Beam [𝜏_max]			+10% -10%
✖Moment of Inertia of Area of Section is the second moment of the area of the section about the neutral axis.ⓘ Moment of Inertia of Area of Section [I]			+10% -10%
✖Thickness of Beam Web is the thickness of the vertical piece that connects the two flanges.ⓘ Thickness of Beam Web [b]			+10% -10%
✖Width of Beam Section is the width of the rectangular cross-section of the beam parallel to the axis in consideration.ⓘ Width of Beam Section [B]			+10% -10%
✖The Outer Depth of I section is a measure of distance, the distance between the outer bars of the I-section.ⓘ Outer Depth of I section [D]			+10% -10%
✖Inner Depth of I Section is a measure of distance, the distance between the inner bars of the I-section.ⓘ Inner Depth of I Section [d]			+10% -10%

✖Shear Force on Beam is the force which causes shear deformation to occur in the shear plane.ⓘ Maximum Shear Force in I Section [F_s]

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Maximum Shear Force in I Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Force on Beam = (Maximum Shear Stress on Beam*Moment of Inertia of Area of Section*Thickness of Beam Web)/((Width of Beam Section*(Outer Depth of I section^2-Inner Depth of I Section^2))/8+(Thickness of Beam Web*Inner Depth of I Section^2)/8)
F_s = (𝜏_max*I*b)/((B*(D^2-d^2))/8+(b*d^2)/8)
This formula uses 7 Variables

Variables Used

Shear Force on Beam - (Measured in Newton) - Shear Force on Beam is the force which causes shear deformation to occur in the shear plane.
Maximum Shear Stress on Beam - (Measured in Pascal) - Maximum Shear Stress on Beam that acts coplanar with a cross-section of material arises due to shear forces.
Moment of Inertia of Area of Section - (Measured in Meter⁴) - Moment of Inertia of Area of Section is the second moment of the area of the section about the neutral axis.
Thickness of Beam Web - (Measured in Meter) - Thickness of Beam Web is the thickness of the vertical piece that connects the two flanges.
Width of Beam Section - (Measured in Meter) - Width of Beam Section is the width of the rectangular cross-section of the beam parallel to the axis in consideration.
Outer Depth of I section - (Measured in Meter) - The Outer Depth of I section is a measure of distance, the distance between the outer bars of the I-section.
Inner Depth of I Section - (Measured in Meter) - Inner Depth of I Section is a measure of distance, the distance between the inner bars of the I-section.

STEP 1: Convert Input(s) to Base Unit

Maximum Shear Stress on Beam: 11 Megapascal --> 11000000 Pascal (Check conversion here)
Moment of Inertia of Area of Section: 0.00168 Meter⁴ --> 0.00168 Meter⁴ No Conversion Required
Thickness of Beam Web: 7 Millimeter --> 0.007 Meter (Check conversion here)
Width of Beam Section: 100 Millimeter --> 0.1 Meter (Check conversion here)
Outer Depth of I section: 9000 Millimeter --> 9 Meter (Check conversion here)
Inner Depth of I Section: 450 Millimeter --> 0.45 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_s = (𝜏_max*I*b)/((B*(D^2-d^2))/8+(b*d^2)/8) --> (11000000*0.00168*0.007)/((0.1*(9^2-0.45^2))/8+(0.007*0.45^2)/8)

Evaluating ... ...

F_s = 128.060704099995

STEP 3: Convert Result to Output's Unit

128.060704099995 Newton -->0.128060704099995 Kilonewton (Check conversion here)

FINAL ANSWER

0.128060704099995 ≈ 0.128061 Kilonewton <-- Shear Force on Beam

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Shear Stress In Beam » Shear Stress Distribution for Different Sections » Shear Stress in I Section » Mechanical » Shear Stress Distribution in Web » Maximum Shear Force in I Section

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National Institute Of Technology (NIT), Hamirpur

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< Shear Stress Distribution in Web Calculators

Moment of Inertia of Section given Shear Stress at Junction of Top of Web

LaTeX Go Moment of Inertia of Area of Section = (Shear Force on Beam*Width of Beam Section*(Outer Depth of I section^2-Inner Depth of I Section^2))/(8*Shear Stress in Beam*Thickness of Beam Web)

Thickness of Web given Shear Stress at Junction of Top of Web

LaTeX Go Thickness of Beam Web = (Shear Force on Beam*Width of Beam Section*(Outer Depth of I section^2-Inner Depth of I Section^2))/(8*Moment of Inertia of Area of Section*Shear Stress in Beam)

Width of Section given Shear Stress at Junction of Top of Web

LaTeX Go Width of Beam Section = (Shear Stress in Beam*8*Moment of Inertia of Area of Section*Thickness of Beam Web)/(Shear Force on Beam*(Outer Depth of I section^2-Inner Depth of I Section^2))

Shear Force at Junction of Top of Web

LaTeX Go Shear Force on Beam = (8*Moment of Inertia of Area of Section*Thickness of Beam Web*Shear Stress in Beam)/(Width of Beam Section*(Outer Depth of I section^2-Inner Depth of I Section^2))

Maximum Shear Force in I Section Formula

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What is Shear Force?

Shear force is a measure of the internal force within a structural member that acts parallel to the cross-section of the member. It arises in response to external loads applied perpendicular to the longitudinal axis of the member. Understanding shear force is essential in the analysis and design of beams, columns, and other structural elements.

How to Calculate Maximum Shear Force in I Section?

Maximum Shear Force in I Section calculator uses Shear Force on Beam = (Maximum Shear Stress on Beam*Moment of Inertia of Area of Section*Thickness of Beam Web)/((Width of Beam Section*(Outer Depth of I section^2-Inner Depth of I Section^2))/8+(Thickness of Beam Web*Inner Depth of I Section^2)/8) to calculate the Shear Force on Beam, The Maximum Shear Force in I Section formula is defined as a measure of the maximum shear force experienced by an I-section beam, which is a critical parameter in structural analysis and design, as it helps engineers to determine the beam's ability to resist shear stress and deformation. Shear Force on Beam is denoted by F_s symbol.

How to calculate Maximum Shear Force in I Section using this online calculator? To use this online calculator for Maximum Shear Force in I Section, enter Maximum Shear Stress on Beam (𝜏_max), Moment of Inertia of Area of Section (I), Thickness of Beam Web (b), Width of Beam Section (B), Outer Depth of I section (D) & Inner Depth of I Section (d) and hit the calculate button. Here is how the Maximum Shear Force in I Section calculation can be explained with given input values -> 0.000128 = (11000000*0.00168*0.007)/((0.1*(9^2-0.45^2))/8+(0.007*0.45^2)/8).

FAQ

What is Maximum Shear Force in I Section?

The Maximum Shear Force in I Section formula is defined as a measure of the maximum shear force experienced by an I-section beam, which is a critical parameter in structural analysis and design, as it helps engineers to determine the beam's ability to resist shear stress and deformation and is represented as F_s = (𝜏_max*I*b)/((B*(D^2-d^2))/8+(b*d^2)/8) or Shear Force on Beam = (Maximum Shear Stress on Beam*Moment of Inertia of Area of Section*Thickness of Beam Web)/((Width of Beam Section*(Outer Depth of I section^2-Inner Depth of I Section^2))/8+(Thickness of Beam Web*Inner Depth of I Section^2)/8). Maximum Shear Stress on Beam that acts coplanar with a cross-section of material arises due to shear forces, Moment of Inertia of Area of Section is the second moment of the area of the section about the neutral axis, Thickness of Beam Web is the thickness of the vertical piece that connects the two flanges, Width of Beam Section is the width of the rectangular cross-section of the beam parallel to the axis in consideration, The Outer Depth of I section is a measure of distance, the distance between the outer bars of the I-section & Inner Depth of I Section is a measure of distance, the distance between the inner bars of the I-section.

How to calculate Maximum Shear Force in I Section?

The Maximum Shear Force in I Section formula is defined as a measure of the maximum shear force experienced by an I-section beam, which is a critical parameter in structural analysis and design, as it helps engineers to determine the beam's ability to resist shear stress and deformation is calculated using Shear Force on Beam = (Maximum Shear Stress on Beam*Moment of Inertia of Area of Section*Thickness of Beam Web)/((Width of Beam Section*(Outer Depth of I section^2-Inner Depth of I Section^2))/8+(Thickness of Beam Web*Inner Depth of I Section^2)/8). To calculate Maximum Shear Force in I Section, you need Maximum Shear Stress on Beam (𝜏_max), Moment of Inertia of Area of Section (I), Thickness of Beam Web (b), Width of Beam Section (B), Outer Depth of I section (D) & Inner Depth of I Section (d). With our tool, you need to enter the respective value for Maximum Shear Stress on Beam, Moment of Inertia of Area of Section, Thickness of Beam Web, Width of Beam Section, Outer Depth of I section & Inner Depth of I Section and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Shear Force on Beam?

In this formula, Shear Force on Beam uses Maximum Shear Stress on Beam, Moment of Inertia of Area of Section, Thickness of Beam Web, Width of Beam Section, Outer Depth of I section & Inner Depth of I Section. We can use 2 other way(s) to calculate the same, which is/are as follows -

Shear Force on Beam = (8*Moment of Inertia of Area of Section*Thickness of Beam Web*Shear Stress in Beam)/(Width of Beam Section*(Outer Depth of I section^2-Inner Depth of I Section^2))
Shear Force on Beam = (Moment of Inertia of Area of Section*Thickness of Beam Web*Shear Stress in Beam)/((Width of Beam Section*(Outer Depth of I section^2-Inner Depth of I Section^2))/8+Thickness of Beam Web/2*(Inner Depth of I Section^2/4-Distance from Neutral Axis^2))

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