The 70-mm-diameter steel rod ABC, and a brass rod CD of the same diameter, are joined at point C to form the 7.5-m long rod "ABCD". E's for the materials in the rod are shown in the picture below. For the loading shown, and neglecting the weight of the rod, determine: a) the deflection of point B b) the deflection of point C c) the deflection of point D d) the longitudinal stress in the middle of section AB e) the longitudinal stress in the middle of section BC f) the longitudinal stress in the middle of section CD

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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The 70-mm-diameter steel rod ABC, and a brass rod CD of the same diameter, are joined at point C to form the 7.5-m long rod “ABCD”. E’s for the materials in the rod are shown in the picture below.

For the loading shown, and neglecting the weight of the rod, determine:

a) the deflection of point B

b) the deflection of point C

c) the deflection of point D

d) the longitudinal stress in the middle of section AB

e) the longitudinal stress in the middle of section BC

f) the longitudinal stress in the middle of section CD

 

a) all elemental stiffness matrices,
b) the force matrix, and the
c) assembly stiffness matrix 

The 70-mm-diameter steel rod ABC, and a brass rod CD of the same diameter, are joined at point C to
form the 7.5-m long rod "ABCD". E's for the materials in the rod are shown in the picture below.
For the loading shown, and neglecting the weight of the rod, determine:
a) the deflection of point B
b) the deflection of point C
c) the deflection of point D
d) the longitudinal stress in the middle of section AB
e) the longitudinal stress in the middle of section BC
f) the longitudinal stress in the middle of section CD
Part 2---- In addition to the above, using techniques in the "Simple Problem Nastran handout", create
the "hand calculation matrices" which would be required to solve this problem. [K] {u} = {f}
Show:
a) all elemental stiffness matrices,
b) the force matrix, and the
c) assembly stiffness matrix (before applying boundary conditions).
Transcribed Image Text:The 70-mm-diameter steel rod ABC, and a brass rod CD of the same diameter, are joined at point C to form the 7.5-m long rod "ABCD". E's for the materials in the rod are shown in the picture below. For the loading shown, and neglecting the weight of the rod, determine: a) the deflection of point B b) the deflection of point C c) the deflection of point D d) the longitudinal stress in the middle of section AB e) the longitudinal stress in the middle of section BC f) the longitudinal stress in the middle of section CD Part 2---- In addition to the above, using techniques in the "Simple Problem Nastran handout", create the "hand calculation matrices" which would be required to solve this problem. [K] {u} = {f} Show: a) all elemental stiffness matrices, b) the force matrix, and the c) assembly stiffness matrix (before applying boundary conditions).
Steel: E200 GPa
Brass: E= 105 GPa
A
B
50 kN
C
D
100 KN
2 m
3 m
2.5 m
Transcribed Image Text:Steel: E200 GPa Brass: E= 105 GPa A B 50 kN C D 100 KN 2 m 3 m 2.5 m
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