The composite cantilever shown
below is made of three plates: two external ones are made of steel
and the middle one is made of copper. The length of the cantilever
is 2m, the width is 50mm, and the thickness of each plate is 20mm.
Determine the axial force induced in the copper plate when the
temperature of the cantilever rises by 77°C. Young's modulus for
steel can be taken as 200GPa and the coefficient of thermal
expansion as 11x10-6mm/(mm oC). Young's modulus for copper is
110GPa and the coefficient of thermal expansion is 18x10-6mm/(mm
oC). Give your answer in kN with two decimal places accuracy.
Negative answers should have sign. Do not write units.
Homework Answers
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The composite cantilever shown
below is made of three plates: two external ones are made of...
show all steps no short cuts please Bonus Problem: (20 points) The composite beam is made...
show all steps no short cuts
please
Bonus Problem: (20 points) The composite beam is made of A-36 steel (A) bonded to C83400 red brass (B) and has the cross section shown. The temperature of the A-36 steel part (part A) is increased by 20 °C at the same time an external moment M=50 kN m is applied to the entire composite beam. Assume the temperature of C83400 red brass (B) doesn't change. Determine: (1) The location of neutral axis...
A composite bar is made from two materials (shown below), is subjected Complete the following. a)...
A composite bar is made from two materials (shown below), is subjected Complete the following. a) Provide a table showing material properties relevant to the problem (e.g. Young's Modulus etc.) b) Using information from above determine the force at the unyielding supports c) Determine the stress in each material d) Determine the displacement and final position of the common interface to a temperature increase of 120 °F Common interface 6 in2 2.4 in2 Unyielding support Steel (4140) Copper (C26800) Unyielding...
A composite bar is made from two materials (shown below), is subjected to a temperature increase...
A composite bar is made from two materials (shown below), is subjected to a temperature increase of 120 °F. Complete the following. a) Provide a table showing material properties relevant to the problem (e.g. Young's Modulus etc.) b) Using information from above determine the force at the unyielding supports c) Determine the stress in each material d) Determine the displacement and final position of the common interface Common interface 6 in2 2.4 in Unyielding support Steel (4140) Unyielding support Copper...
Figure 2a shows a composite beam made by placing three steel plates inside a wooden section....
Figure 2a shows a composite beam made by placing three
steel plates inside a wooden
section.
(a) Determine the maximum bending stress developed in the wooden
section and steel plate
if the beam is subjected to allowable bending moment, M of 20 kN.m.
Given that the
Modulus of Elasticity of wood is 13.1 GPa and steel is 200
GPa.
[14 Marks]
Figure 2a: Composite beam
(b) Figure 2b shows another beam without steel plates. Suggest the
maximum bending
stress for...
A composite bar is made from two materials (shown below), is subjected to a temperature increase...
A composite bar is made from two materials (shown below), is subjected to a temperature increase of 120 °F. Complete the following. a) Provide a table showing material properties relevant to the problem (e.g. Young's Modulus etc.) b) Using information from above determine the force at the unyielding supports c) Determine the stress in each material d) Determine the displacement and final position of the common interface Common interface 6 in2 2.4 in Unyielding support Steel (4140) Unyielding support Copper...
The stepped rod shown below is made of three uniform elements. The rod was intended to...
The stepped rod shown below is made of three uniform elements. The rod was intended to be welded to, and exactly fit between, the rigid walls at A and D. However, member 2 was manufactured an amount d2 too short. First the entire rod is stretched so that its ends can be welded to the rigid walls. Then, an axial load PB is applied to the rod at B and member (3) is heated by an amount AT3. Write a...
show all steps no short cuts
please
Bonus Problem: (20 points) The composite beam is made of A-36 steel (A) bonded to C83400 red brass (B) and has the cross section shown. The temperature of the A-36 steel part (part A) is increased by 20 °C at the same time an external moment M=50 kN m is applied to the entire composite beam. Assume the temperature of C83400 red brass (B) doesn't change. Determine: (1) The location of neutral axis...
A composite bar is made from two materials (shown below), is subjected Complete the following. a) Provide a table showing material properties relevant to the problem (e.g. Young's Modulus etc.) b) Using information from above determine the force at the unyielding supports c) Determine the stress in each material d) Determine the displacement and final position of the common interface to a temperature increase of 120 °F Common interface 6 in2 2.4 in2 Unyielding support Steel (4140) Copper (C26800) Unyielding...
A composite bar is made from two materials (shown below), is subjected to a temperature increase of 120 °F. Complete the following. a) Provide a table showing material properties relevant to the problem (e.g. Young's Modulus etc.) b) Using information from above determine the force at the unyielding supports c) Determine the stress in each material d) Determine the displacement and final position of the common interface Common interface 6 in2 2.4 in Unyielding support Steel (4140) Unyielding support Copper...
Figure 2a shows a composite beam made by placing three
steel plates inside a wooden
section.
(a) Determine the maximum bending stress developed in the wooden
section and steel plate
if the beam is subjected to allowable bending moment, M of 20 kN.m.
Given that the
Modulus of Elasticity of wood is 13.1 GPa and steel is 200
GPa.
[14 Marks]
Figure 2a: Composite beam
(b) Figure 2b shows another beam without steel plates. Suggest the
maximum bending
stress for...
A composite bar is made from two materials (shown below), is subjected to a temperature increase of 120 °F. Complete the following. a) Provide a table showing material properties relevant to the problem (e.g. Young's Modulus etc.) b) Using information from above determine the force at the unyielding supports c) Determine the stress in each material d) Determine the displacement and final position of the common interface Common interface 6 in2 2.4 in Unyielding support Steel (4140) Unyielding support Copper...
The stepped rod shown below is made of three uniform elements. The rod was intended to be welded to, and exactly fit between, the rigid walls at A and D. However, member 2 was manufactured an amount d2 too short. First the entire rod is stretched so that its ends can be welded to the rigid walls. Then, an axial load PB is applied to the rod at B and member (3) is heated by an amount AT3. Write a...
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