The polymer bar shown in the figure below has a width of b=55b=55 mmmm, a depth of d=104d=104 mmmm, and a height of h=274h=274 mmmm. At a compressive load of P=120P=120 kNkN, the bar height contracts by Δh=−2.60Δ⁢h=-2.60 mmmm, and the bar depth elongates by Δd=0.36Δ⁢d=0.36 mmmm. At this load, the stress in the polymer bar is less than its proportional limit. Determine:(a) the modulus of elasticity.(b) Poisson’s ratio.(c) the change in the bar width bb. The polymer bar shown in the figure below has a width of b = 55 mm, a depth of d = 104 mm, and a height of h = 274 mm. At acompressive load of P = 120 kN, the bar height contracts by Ah = -2.60 mm, and the bar depth elongates by Ad = 0.36 mm. Atthis load, the stress in the polymer bar is less than its proportional limit. Determine:(a) the modulus of elasticity.(b) Poisson's ratio.(c) the change in the bar width b.PRigidplate(a) E =i(b) v =i(c) Ab =iGPammbhRigid base

Modulus of elasticity: - It is defined as the normal stress of a material divided by longitudinal…

Answered: the modulus of elasticity.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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The polymer bar shown in the figure below has a width of b=55b=55 mmmm, a depth of d=104d=104 mmmm, and a height of h=274h=274 mmmm. At a compressive load of P=120P=120 kNkN, the bar height contracts by Δh=−2.60Δ⁢h=-2.60 mmmm, and the bar depth elongates by Δd=0.36Δ⁢d=0.36 mmmm. At this load, the stress in the polymer bar is less than its proportional limit. Determine:

(a) the modulus of elasticity.

(b) Poisson’s ratio.

The polymer bar shown in the figure below has a width of b = 55 mm, a depth of d = 104 mm, and a height of h = 274 mm. At a
compressive load of P = 120 kN, the bar height contracts by Ah = -2.60 mm, and the bar depth elongates by Ad = 0.36 mm. At
this load, the stress in the polymer bar is less than its proportional limit. Determine:
(a) the modulus of elasticity.
(b) Poisson's ratio.
(c) the change in the bar width b.
P
Rigid
plate
(a) E =
i
(b) v =
i
(c) Ab =
i
GPa
mm
b
h
Rigid base

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