100KN A force of 100 KN is applied on a column as shown. The column is made from two materials. [The top one is a functionally graded material with a linearly varying modulus and densities. Its length is 2 meter. The density and elastic modulus of the top material at point A are 2700 А kg and 72 Gpa, respectively. The density and modulus of m3 the top material at point B are 3000- kg and 100 Gpa. The m³ В bottom material is made from steel (density =7800- kg and m2 modulus=200GPA). The length of the bottom material is 1m. The cross-sections of both materials comprising the column are cylindrical with a diameter of 0.5 m. C Using equilibrium considering the weight and the applied force determine: ID (đijj +bị = 0) and while %3D The stress distribution in both members

Mechanics of Materials (MindTap Course List)
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ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
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Chapter7: Analysis Of Stress And Strain
Section: Chapter Questions
Problem 7.6.15P
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100KN
A force of 100 KN is applied on a column as shown. The
column is made from two materials. [The top one is a
functionally graded material with a linearly varying
modulus and densities. Its length is 2 meter. The density
and elastic modulus of the top material at point A are 2700
А
kg
m3
and 72 Gpa, respectively. The density and modulus of
kg
the top material at point B are 3000 and 100 Gpa. The
m
3
В
kg
bottom material is made from steel (density =7800
and
m2
modulus=200GPA). The length of the bottom material is
1m. The cross-sections of both materials comprising the
column are cylindrical with a diameter of 0.5 m.
C
ID (oijj + bị = 0) and
considering the weight and the applied force determine:
Using equilibrium
while
The stress distribution in both members
Transcribed Image Text:100KN A force of 100 KN is applied on a column as shown. The column is made from two materials. [The top one is a functionally graded material with a linearly varying modulus and densities. Its length is 2 meter. The density and elastic modulus of the top material at point A are 2700 А kg m3 and 72 Gpa, respectively. The density and modulus of kg the top material at point B are 3000 and 100 Gpa. The m 3 В kg bottom material is made from steel (density =7800 and m2 modulus=200GPA). The length of the bottom material is 1m. The cross-sections of both materials comprising the column are cylindrical with a diameter of 0.5 m. C ID (oijj + bị = 0) and considering the weight and the applied force determine: Using equilibrium while The stress distribution in both members
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