Stiffness of Fixed-Fixed Beam with Load at Middle Calculator

✖Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.ⓘ Young's Modulus [E]			+10% -10%
✖Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.ⓘ Moment of Inertia [I]			+10% -10%
✖Total Length is the measurement or extent of something from end to end.ⓘ Total Length [L]			+10% -10%

✖The Stiffness Constant is a measure of the extent to which an object resists deformation in response to an applied force.ⓘ Stiffness of Fixed-Fixed Beam with Load at Middle [K]

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Formula

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Stiffness of Fixed-Fixed Beam with Load at Middle

Formula

`"K" = (192*"E"*"I")/"L"^3`

Example

`"1474.738N/m"=(192*"15N/m"*"1.125kg·m²")/("1300mm")^3`

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Stiffness of Fixed-Fixed Beam with Load at Middle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Stiffness Constant = (192*Young's Modulus*Moment of Inertia)/Total Length^3
K = (192*E*I)/L^3
This formula uses 4 Variables

Variables Used

Stiffness Constant - (Measured in Newton per Meter) - The Stiffness Constant is a measure of the extent to which an object resists deformation in response to an applied force.
Young's Modulus - (Measured in Newton per Meter) - Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.
Moment of Inertia - (Measured in Kilogram Square Meter) - Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.
Total Length - (Measured in Meter) - Total Length is the measurement or extent of something from end to end.

STEP 1: Convert Input(s) to Base Unit

Young's Modulus: 15 Newton per Meter --> 15 Newton per Meter No Conversion Required
Moment of Inertia: 1.125 Kilogram Square Meter --> 1.125 Kilogram Square Meter No Conversion Required
Total Length: 1300 Millimeter --> 1.3 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K = (192*E*I)/L^3 --> (192*15*1.125)/1.3^3

Evaluating ... ...

K = 1474.73827947201

STEP 3: Convert Result to Output's Unit

1474.73827947201 Newton per Meter --> No Conversion Required

FINAL ANSWER

1474.73827947201 ≈ 1474.738 Newton per Meter <-- Stiffness Constant

(Calculation completed in 00.004 seconds)

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< 4 Stiffness Calculators

Stiffness of Tapered Rod under Axial Load

Go Stiffness Constant = (pi*Young's Modulus*End Diameter 1*End Diameter 2)/(4*Total Length)

Stiffness of Cantilever Beam

Go Spring Constant of Cantilever beam = (3*Young's Modulus*Moment of Inertia of Beam about Bending Axis)/Total Length^3

Stiffness of Rod under Axial Load

Go Stiffness Constant = (Young's Modulus*Rod cross-sectional area)/Total Length

Stiffness of Fixed-Fixed Beam with Load at Middle

Go Stiffness Constant = (192*Young's Modulus*Moment of Inertia)/Total Length^3

Stiffness of Fixed-Fixed Beam with Load at Middle Formula

Stiffness Constant = (192*Young's Modulus*Moment of Inertia)/Total Length^3
K = (192*E*I)/L^3

What is a beam?

A beam is a structural element that primarily resists loads applied laterally to the beam's axis (an element designed to carry primarily axial load would be a strut or column). Its mode of deflection is primarily by bending. The loads applied to the beam result in reaction forces at the beam's support points.

What happens when a load is applied to the beam?

The loads applied to the beam result in reaction forces at the beam's support points. The total effect of all the forces acting on the beam is to produce shear forces and bending moments within the beams, which in turn induce internal stresses, strains, and deflections of the beam.

How to Calculate Stiffness of Fixed-Fixed Beam with Load at Middle?

Stiffness of Fixed-Fixed Beam with Load at Middle calculator uses Stiffness Constant = (192*Young's Modulus*Moment of Inertia)/Total Length^3 to calculate the Stiffness Constant, The Stiffness of Fixed-Fixed Beam with Load at Middle is defined as the ability of the material of the beam to resist the deformation when a load acts at the middle when both ends are fixed. Stiffness Constant is denoted by K symbol.

How to calculate Stiffness of Fixed-Fixed Beam with Load at Middle using this online calculator? To use this online calculator for Stiffness of Fixed-Fixed Beam with Load at Middle, enter Young's Modulus (E), Moment of Inertia (I) & Total Length (L) and hit the calculate button. Here is how the Stiffness of Fixed-Fixed Beam with Load at Middle calculation can be explained with given input values -> 1474.738 = (192*15*1.125)/1.3^3.

FAQ

What is Stiffness of Fixed-Fixed Beam with Load at Middle?

The Stiffness of Fixed-Fixed Beam with Load at Middle is defined as the ability of the material of the beam to resist the deformation when a load acts at the middle when both ends are fixed and is represented as K = (192*E*I)/L^3 or Stiffness Constant = (192*Young's Modulus*Moment of Inertia)/Total Length^3. Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain, Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis & Total Length is the measurement or extent of something from end to end.

How to calculate Stiffness of Fixed-Fixed Beam with Load at Middle?

The Stiffness of Fixed-Fixed Beam with Load at Middle is defined as the ability of the material of the beam to resist the deformation when a load acts at the middle when both ends are fixed is calculated using Stiffness Constant = (192*Young's Modulus*Moment of Inertia)/Total Length^3. To calculate Stiffness of Fixed-Fixed Beam with Load at Middle, you need Young's Modulus (E), Moment of Inertia (I) & Total Length (L). With our tool, you need to enter the respective value for Young's Modulus, Moment of Inertia & Total Length 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 Stiffness Constant?

In this formula, Stiffness Constant uses Young's Modulus, Moment of Inertia & Total Length. We can use 2 other way(s) to calculate the same, which is/are as follows -

Stiffness Constant = (Young's Modulus*Rod cross-sectional area)/Total Length
Stiffness Constant = (pi*Young's Modulus*End Diameter 1*End Diameter 2)/(4*Total Length)

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