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: 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 streses 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 Aluminium Steel- Aluminitum Nא 37 30 mm

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter2: Axially Loaded Members
Section: Chapter Questions
Problem 2.10.6P: ,10-6 A prismatic bar with a diameter d0= 20 mm is being compared with a stepped bar of the same...
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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 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
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 mam
Aluminium.
Steel-
Aluminitum
37 AN
30 mm
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 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 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 mam Aluminium. Steel- Aluminitum 37 AN 30 mm
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