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.

Engineering

Civil Engineering

the modulus of elasticity.

Materials Science And Engineering Properties

1st Edition

ISBN:9781111988609

Author:Charles Gilmore

Publisher:Charles Gilmore

Chapter9: Time, Temperature, And Mechanical Properties

Section: Chapter Questions

Problem 9.3P

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Concept explainers

Methods to Determine Vertical Stress

The load applied to the soil is transferred to the underground. The presence of water at soil pores and solid grains above the soil are the primary components that are responsible for the effective load transfer. Due to the load acting, the internal component of the soil or the underground formations undergoes deformations or a tectonic shift. The amount of deformation depends upon the amount of load acting on the soil surface, which indeed, depends on the weight of everything present above the soil. Due to this, the underground soil element develops internal stresses which try to resist the tectonic changes.

Question

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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