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## COE 3001 Week 12

by: Eleanor Notetaker

17

0

0

# COE 3001 Week 12 coe 3001 I

Eleanor Notetaker
Georgia Tech
Deformable Bodies
Dr. Kennedy

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We figure out how to find the internal stress of unsymmetric beams under pure bending.
COURSE
Deformable Bodies
PROF.
Dr. Kennedy
TYPE
Class Notes
PAGES
0
WORDS
KARMA
25 ?

## Popular in Engineering and Tech

This 0 page Class Notes was uploaded by Eleanor Notetaker on Saturday November 7, 2015. The Class Notes belongs to coe 3001 I at Georgia Institute of Technology taught by Dr. Kennedy in Summer 2015. Since its upload, it has received 17 views. For similar materials see Deformable Bodies in Engineering and Tech at Georgia Institute of Technology.

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Date Created: 11/07/15
COE 3001 Mechanics of Deformable Bodies Week 12 Unsymmetric bending of beams Assumptions y J Based on previous results N gt Ox 2 c1 0 Pure bending 0 axial load 0 Plane sections remain plane and normal to de ection curve Mz gtOxczy My gtOxc3z 0x26162y63z Objectives 0 Determine location of reference coordinate frame 0 Determine c1 c2 c3 x El Mx O dAZI clczyc3z dA A El CI tAc1c2fydAc3f sz A A 0 Place axis at centroid El El dAO dAO Nxc1A y 7 COE 3001 Mechanics of Deformable Bodies Week 12 MZZ fyOdi Myfz0di El El El El Mzz f yc1c2yc3zdA clf ydA CZI ysz c3f yZdAZ CZIz C3Iyz A A A A El El El El El MyZI szdAZI zclc2yc3zdAclfszczf yszc3f zsz A A A A A I 2 M z yz z Iyz y 63 My 6 1 I I M 2 2 y yz Z C3 IyIzIyz Iyz Z My 039 N NIYZMZIZMYZIYMZIszy y c c z A 2y 3 A IyIz Ijz 0 Find neutral surface N0 0x 0 IszzIzMyz IyMzIszy y0 I M I M y yz z z y Z IyMzIszy I M I M tan z yz Z Z y IyMzIszy If MyZO and Mzio and IYZZO COE 3001 Mechanics of Deformable Bodies tanBZOZLBZO Mz0 I 0 and W and Myio If tanBooL90 Example Ibeam in pure bending 4 If 378o 12576 4 h8 t b4et Al25k x230 Iyz0 0 Find the max tensile stress MyZ MosinCXZ 12500lbi MZZMocosOt216511bZ Location of the neutral surface 0x20 MyIZ t y MzIy Z WW 1 yA 2 b ZA Week 12 COE 3001 Mechanics of Deformable Bodies Week 12

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