Question

Top View A A Rigid Nut Solid Steel Rod: 10 dia. E = 200,000 MPa ? = 12x10^-6 / °C 0.25 mm Gap Polyethylene Cylinder: 175 outside dia. 170 inside dia. E = 1250 MPa ? = 100x10^-6 / °C Section A-A 200 225 Rigid Plate (Top & Bottom)

          Top View
A A
Rigid Nut
Solid Steel Rod:
10 dia.
E = 200,000 MPa
? = 12x10^-6 / °C
0.25 mm Gap
Polyethylene Cylinder:
175 outside dia.
170 inside dia.
E = 1250 MPa
? = 100x10^-6 / °C
Section A-A
200
225
Rigid Plate (Top & Bottom)

Added by Anthony S.

University Physics with Modern Physics

Roger A. Freedman, Hugh D. Young 15th Edition

Chapter 25

Instant Answer

Solved by Expert Adi S

07/17/2023

Step 1

The formula for thermal expansion is: ΔL = α × L × ΔT where: α = coefficient of thermal expansion L = original length ΔT = change in temperature For the steel rod: α_steel = 12 × 10^-6 /°C L_steel = 225 mm ΔT = 80°C ΔL_steel = 12 × 10^-6 × 225 × 80 = 0.216 mm Show more…

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A polyethylene cylinder is attached to perfectly rigid end plates on its top and bottom ends, both of which are free to move. A solid steel rod is attached to the bottom end plate but extends through a hole in the top plate and is securely fastened to a rigid nut. At the initial conditions depicted in the sketch below, there is a 0.25 mm gap between the underside of the nut and the top of the top end plate. If the temperature of the assembly is increased by 80°C, determine the following (assume that the dimensions of the end plates do not change with temperature): a) The resulting axial force in the steel rod; and b) The final length of the polyethylene cylinder.