A 260 mm bar AB with a rectangular cross section of 17 × 30 mm, consists of two aluminium layers with each 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 EA= 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 iii. 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

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A 260 mm bar AB with a rectangular cross section of 17 × 30 mm, consists of two aluminium
layers with each 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 EA = 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
iii. 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
Transcribed Image Text:A 260 mm bar AB with a rectangular cross section of 17 × 30 mm, consists of two aluminium layers with each 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 EA = 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 iii. 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 mm
A
Aluminium
Steel-
Aluminium-
37 kN
B
30 mm
Transcribed Image Text:Cross section of the bar 6 mm 5 mm 6 mm 30 mm 260 mm A Aluminium Steel- Aluminium- 37 kN B 30 mm
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