- #1

EddieC147

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- TL;DR Summary
- Calculating Beam Deflection with Moment of Inertia and Mass

Hi There,

I am wanting to calculate the amount of deflection (

Force (

Length (

Youngs Modulus (

Moment of Inertia

The formula for the moment of inertia

Mass -

Bore Radius -

Tube Radius -

Finding the Mass needs the density of aluminium multiplied by the volume.

Any help is greatly appreciated.

Thanks

Ed

I am wanting to calculate the amount of deflection (

**δ**) from a simply supported Beam. My Beam is an Aluminium Tube ø30mm with a 3mm Wall Thickness.Force (

**F**) - 500NLength (

**L**) - 610mmYoungs Modulus (

**E**) - 68 GpaMoment of Inertia

**(I)**- ?**δ = F L**³**∕**48**E I**

Q1:Is this the correct formula that I found online?Q1:

**Q2:**Put Simply why is the Moment of Inertia needed for this? ( I know this isn't relevant to solving the problem but I want to learn and understand)**Q3:**What units should the Moment of inertia be measured into be entered into this formula?The formula for the moment of inertia

**(I)**of a tube I have found online is below.Mass -

**M**Bore Radius -

**R**1Tube Radius -

**R**2**I =**1/2**M**(**R**1²+**R**2²)**Q4:**Is this the correct formula for finding the moment of inertia of a Hollow Tube?**Q5:**What units should the Radius be measured into make the end unit match with Q3?**Q6:**What units should the mass be measured into make the end unit match with Q3?Finding the Mass needs the density of aluminium multiplied by the volume.

**Q7:**Do I need to multiply this by the volume of the full aluminium tube?Any help is greatly appreciated.

Thanks

Ed