A column is fabricated by adhesively bonding two aluminum faceplates to a foam plastic core as shown below. Note that there are only left and right aluminum plates (with no front and back plates). The foam plastic core has a square cross-section with elastic modulus Ef 1110 MPa. Determine the stress in the aluminum plates, the stress in the foam core, and the displacement of the column under the action of the applied force. = Note: Express tensile stresses as positive (+) and compressive stresses as negative (-). Given: • L1 L2 = = 100 mm = 1.7 m • . L3 = = 1.4 mm RIGID PLATE ALUMINUM FACE PLATE F FOAM L2 |← 41 +| |—–—– 63 L1 L3 F = 37 kN σα = σ f = |ɗ| = = number (rtol=0.01, atol=1e-05) number (rtol=0.01, atol=1e-05) number (rtol=0.01, atol=1e-05) MPa ? MPa 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
Chapter7: Analysis Of Stress And Strain
Section: Chapter Questions
Problem 7.7.15P: A brass plate with a modulus of elastici ty E = 16 X 106 psi and Poisson’s ratio a = 0.34 is loaded...
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A column is fabricated by adhesively bonding two aluminum faceplates to a foam plastic core as shown
below. Note that there are only left and right aluminum plates (with no front and back plates). The foam
plastic core has a square cross-section with elastic modulus Ef 1110 MPa. Determine the stress in the
aluminum plates, the stress in the foam core, and the displacement of the column under the action of the
applied force.
=
Note: Express tensile stresses as positive (+) and compressive stresses as negative (-).
Given:
•
L1
L2 =
=
100 mm
= 1.7 m
•
.
L3 =
=
1.4 mm
RIGID PLATE
ALUMINUM
FACE PLATE
F
FOAM
L2
|← 41 +| |—–—– 63
L1
L3
F = 37 kN
σα
=
σ f =
|ɗ| =
=
number (rtol=0.01, atol=1e-05)
number (rtol=0.01, atol=1e-05)
number (rtol=0.01, atol=1e-05)
MPa ?
MPa
mm
?
Transcribed Image Text:A column is fabricated by adhesively bonding two aluminum faceplates to a foam plastic core as shown below. Note that there are only left and right aluminum plates (with no front and back plates). The foam plastic core has a square cross-section with elastic modulus Ef 1110 MPa. Determine the stress in the aluminum plates, the stress in the foam core, and the displacement of the column under the action of the applied force. = Note: Express tensile stresses as positive (+) and compressive stresses as negative (-). Given: • L1 L2 = = 100 mm = 1.7 m • . L3 = = 1.4 mm RIGID PLATE ALUMINUM FACE PLATE F FOAM L2 |← 41 +| |—–—– 63 L1 L3 F = 37 kN σα = σ f = |ɗ| = = number (rtol=0.01, atol=1e-05) number (rtol=0.01, atol=1e-05) number (rtol=0.01, atol=1e-05) MPa ? MPa mm ?
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