Register to reply

Simple supported round shaft deflection

Share this thread:
AQUAPOP
#1
Mar19-14, 02:42 PM
P: 4
Hello.
I'm looking for the deflections of a 1.938" dia. steel shaft at different lengths.
Supported in bearings at both ends.
150lbs. per foot of length, with all of the weight in the center of the rod.
I.E. how much does the rod deflect of there is 450lbs. pushing down between 36"...
I'm looking for 300 lbs. for 24", 450 for 36", and 600 for 48".

Thanks in advance,
Frank
Phys.Org News Partner Physics news on Phys.org
IHEP in China has ambitions for Higgs factory
The physics of lead guitar playing
The birth of topological spintronics
SteamKing
#2
Mar19-14, 03:56 PM
Emeritus
Sci Advisor
HW Helper
Thanks
PF Gold
P: 6,274
Quote Quote by AQUAPOP View Post
Hello.
I'm looking for the deflections of a 1.938" dia. steel shaft at different lengths.
Supported in bearings at both ends.
150lbs. per foot of length, with all of the weight in the center of the rod.
I.E. how much does the rod deflect of there is 450lbs. pushing down between 36"...
I'm looking for 300 lbs. for 24", 450 for 36", and 600 for 48".

Thanks in advance,
Frank
For a simply supported beam, the max deflection for an evenly distributed load is

δ = 5wL[itex]^{4}[/itex]/(384EI)

where:
L - distance between supports, in inches
w - distributed load, in pounds / inch
E - Young's modulus for the shaft material
(for example, for steel, E = 29*10[itex]^{6}[/itex] lbs/in[itex]^{2}[/itex])
I - second moment of area for the shaft, in inches[itex]^{4}[/itex]

I for a circular shaft is πD[itex]^{4}[/itex]/64, D - diameter in inches
δ - shaft deflection, in inches
π - constant = 3.14159

Make sure you use the correct units and you are good to go.


Register to reply

Related Discussions
Deflection simply supported beam Engineering, Comp Sci, & Technology Homework 5
Slope and Deflection of a Simply Supported Beam Academic Guidance 1
Moments of deflection/ curvature of radius of a supported beam Engineering, Comp Sci, & Technology Homework 4
Deflection in a simply supported beam with a rigid arm underneath Engineering, Comp Sci, & Technology Homework 3
Round Table Supported by 3 Legs Introductory Physics Homework 3