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Page 1: beam deflection procedure - Memphis - Civil - Civil …. Beam Deflection Procedure(revis… · 10/27/2011 1 Beam deflection Test Procedure Mechanics of Materials Lab, CIVL 3325 October,

10/27/2011

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Beam deflection Test ProcedureBeam deflection Test Procedure

Mechanics of Materials Lab, CIVL 3325October, 27, 2011

Bending Stress TestBending Stress Testσ

E

ε

Page 2: beam deflection procedure - Memphis - Civil - Civil …. Beam Deflection Procedure(revis… · 10/27/2011 1 Beam deflection Test Procedure Mechanics of Materials Lab, CIVL 3325 October,

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Deflection of a Cantilever Beam:Deflection of a Cantilever Beam:

3PL3EI

3

1

PL

constant b:3

1

1 1E

I h

DeflectionDeflectionP

E

(3I/L3) δ

Page 3: beam deflection procedure - Memphis - Civil - Civil …. Beam Deflection Procedure(revis… · 10/27/2011 1 Beam deflection Test Procedure Mechanics of Materials Lab, CIVL 3325 October,

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ApparatusApparatusDial gauge ClampSpecimen

Main barLoading hanger Bearing

ApparatusApparatus

ClClamp

Force transmission element

Page 4: beam deflection procedure - Memphis - Civil - Civil …. Beam Deflection Procedure(revis… · 10/27/2011 1 Beam deflection Test Procedure Mechanics of Materials Lab, CIVL 3325 October,

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ApparatusApparatus

Group I Group III Group II

Malmi Beal Cody Baker

Overton Bridges Clint BakerOverton Bridges Clint Baker

Thomas McAnally Owens

Syverson Gafferd Parrish

Ford Mariano W. Apperson

Ellis DePriest Morgan

A. Apperson Elzey Brasher

Page 5: beam deflection procedure - Memphis - Civil - Civil …. Beam Deflection Procedure(revis… · 10/27/2011 1 Beam deflection Test Procedure Mechanics of Materials Lab, CIVL 3325 October,

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Group IGroup I

Various Lengths (same material and h)

φ ~ L3

Group IGroup I

Page 6: beam deflection procedure - Memphis - Civil - Civil …. Beam Deflection Procedure(revis… · 10/27/2011 1 Beam deflection Test Procedure Mechanics of Materials Lab, CIVL 3325 October,

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Group IIIGroup III

Various materials (same L and h)

δ ~ 1/E

Group IIIGroup III

Page 7: beam deflection procedure - Memphis - Civil - Civil …. Beam Deflection Procedure(revis… · 10/27/2011 1 Beam deflection Test Procedure Mechanics of Materials Lab, CIVL 3325 October,

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Group IIGroup II

Various sections (same material and L)

δ ~ 1/h3

Group IIGroup II

Page 8: beam deflection procedure - Memphis - Civil - Civil …. Beam Deflection Procedure(revis… · 10/27/2011 1 Beam deflection Test Procedure Mechanics of Materials Lab, CIVL 3325 October,

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PlotsPlots

A

Plot A-B data for three C values on the same plot:

A

B

C1

C2

C3