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## PROD DESGN & SOLID MODEL

by: Terrence Kshlerin

36

0

3

# PROD DESGN & SOLID MODEL ENTC 361

Terrence Kshlerin
Texas A&M
GPA 3.94

Staff

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COURSE
PROF.
Staff
TYPE
Class Notes
PAGES
3
WORDS
KARMA
25 ?

## Popular in Engineering Technology

This 3 page Class Notes was uploaded by Terrence Kshlerin on Wednesday October 21, 2015. The Class Notes belongs to ENTC 361 at Texas A&M University taught by Staff in Fall. Since its upload, it has received 36 views. For similar materials see /class/226140/entc-361-texas-a-m-university in Engineering Technology at Texas A&M University.

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Date Created: 10/21/15
ENTC 361 Spring 2004 Truss Assembly 2 What follows is an example of the solution of a truss problem using nite elements to represent each truss member Q The problem D 3 l 3 4 100 N Find the reaction at supports 1 and 2 the displacement of node 3 and the force in each truss element For this problem the system matrices are KGll56 lFsiaor kn 39 kls 1 Fix 5 E v1 Fly 2 2 uz F I I vi Fly 2 Z u3 F km kss V3 ng Here ulv1u2 and v2 are zero and FM SON and F 60N So k11 km 0 Ru 5 39 3 0 RU E 0 R 5 0 Ru 5 u3 80 k61 kw v3 60 The element matrices for this problem are Truss element general c2 cs c2 cs ul Fm AE cs s2 cs s2 v1 Fly L c2 cs c2 cs u2 F cs sz cs 32 v F 2 For element 1 a0 so l 0 l 0 M1 141E1 0 0 0 0 v1 L1 1 0 l 0 u3 0 0 0 0 v3 or element 2 a270 so 0 0 0 0 u2 141E2 0 l 0 1 v2 L2 0 0 0 0 u3 0 l 0 1 v3 Element 1 Place elements in global matriX39 0 0 F L1 L1 1 1 0 0 0 0 v1 Fly v2 Fly A1E1 0 0 3 Ex 11 11 v3 F 0 0 0 0 Element2 u1 Fla 0 0 0 0 v1 Fly 0 141E2 0 141E2 u2 F L2 L2 v2 Fly 0 0 0 0 u3 FM 0 141E2 0 141E2 v3 Fsy Add them together 0 0 A L 0 0 0 0 u1 Fix 0 0 0 0 v1 Fly 0 A2E2 0 7 AZEZ u2 7 sz L2 L2 v2 FZX 7 AIEI 0 0 0 AIEI 0 3 Fh L1 L1 3 F3y 0 0 0 A2E2 0 AQEZ L2 L2 Plug in the remaining zeros 0 0 0 0 A L1 0 0 0 0 0 Rh 0 0 0 0 0 RU 0 0 0 AZEZ 0 7 AZEZ 0 7 Rh L2 L2 0 RN 7 AIEI 0 0 0 A1E1 0 3 80 L1 L1 V3 760 0 0 0 i AZEZ 0 A2E2 L2 L2 Extract portion of matrices with unknown displacements AlEl 0 0 AQEZ v3 760 2 Now solve for u3 and v3 u 7 80 3 7 AlEl

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