A 260 mm bar AB with a rectangular cross section of 17 x 30 mm, consists of two aluminium layers with cach being 6 mm thíck and brazed to a centre steel layer of 5 mm thickness as shown in Figure Q3. An axial tensile force of P- 37 kN is applied to the assembly by means of a rigid end cap at B. Given that the assembly is fixed at end A and the Young's modulus of aluminium and steel are Eu= 70 GPa, Es - 200 GPa, respectively, determine: i Whether this structural configuration is statically determinate or statically indeterminate, and clearly explain your reasoning. ii. The normal forces in the aluminium layers and the steel layer ii. The normal stress in the aluminium layers and the steel layer. State whether the stresses are in tension or compression iv. Determine the deformation of the assembly Cross section of the bar 6 mm 5 mm imm 30 mm 260 mm Aluminium . Steel- Aluminium 37 AN 30 mm
A 260 mm bar AB with a rectangular cross section of 17 x 30 mm, consists of two aluminium layers with cach being 6 mm thíck and brazed to a centre steel layer of 5 mm thickness as shown in Figure Q3. An axial tensile force of P- 37 kN is applied to the assembly by means of a rigid end cap at B. Given that the assembly is fixed at end A and the Young's modulus of aluminium and steel are Eu= 70 GPa, Es - 200 GPa, respectively, determine: i Whether this structural configuration is statically determinate or statically indeterminate, and clearly explain your reasoning. ii. The normal forces in the aluminium layers and the steel layer ii. The normal stress in the aluminium layers and the steel layer. State whether the stresses are in tension or compression iv. Determine the deformation of the assembly Cross section of the bar 6 mm 5 mm imm 30 mm 260 mm Aluminium . Steel- Aluminium 37 AN 30 mm
Materials Science And Engineering Properties
1st Edition
ISBN:9781111988609
Author:Charles Gilmore
Publisher:Charles Gilmore
Chapter6: Introduction To Mechanical Properties
Section: Chapter Questions
Problem 6.15P: Estimate the elastic and plastic strain at the ultimate tensile strength in the low-carbon steel...
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Question
![A 260 mm bar AB with a rectangular cross section of 17 x 30 mm, consists of two aluminium
layers with cach being 6 mm thick and brazed to a centre steel layer of 5 mm thickness as
shown in Figure Q3. An axial tensile force of P- 37 kN is applied to the assembly by means
of a rigid end cap at B. Given that the assembly is fixed at end A and the Young's modulus of
aluminium and steel are E.= 70 GPa, Es= 200 GPa, respectively, determine:
i Whether this structural configuration is statically determinate or statically indeterminate,
and clearly explain your reasoning.
ii. The normal forces in the aluminium layers and the steel layer
i. The normal stress in the aluminium layers and the steel layer. State whether the stresses
are in tension or compression
iv. Determine the deformation of the assembly
Cross section of the bar
6 mm
5 mm
6 mm
30 mm
260 mun
Aluminium.
Steel-
Aluminitum
Nא 37
30 mm](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2cdf6409-46ce-47c9-8d6f-f4ced6f01ca3%2Fa5e8c5df-6c0c-45f0-86ae-024381654560%2Flk4gi0h_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A 260 mm bar AB with a rectangular cross section of 17 x 30 mm, consists of two aluminium
layers with cach being 6 mm thick and brazed to a centre steel layer of 5 mm thickness as
shown in Figure Q3. An axial tensile force of P- 37 kN is applied to the assembly by means
of a rigid end cap at B. Given that the assembly is fixed at end A and the Young's modulus of
aluminium and steel are E.= 70 GPa, Es= 200 GPa, respectively, determine:
i Whether this structural configuration is statically determinate or statically indeterminate,
and clearly explain your reasoning.
ii. The normal forces in the aluminium layers and the steel layer
i. The normal stress in the aluminium layers and the steel layer. State whether the stresses
are in tension or compression
iv. Determine the deformation of the assembly
Cross section of the bar
6 mm
5 mm
6 mm
30 mm
260 mun
Aluminium.
Steel-
Aluminitum
Nא 37
30 mm
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