A solid 4340 HR Steel tie rod of length Lrod = 850 mm is employed to compress a 6061-T6 aluminum bushing of length Lbushing = 625 mm as shown. The tie rod has a solid circular cross section with diameter drod = 22.5 mm. The bushing has a hollow circular cross section with outer diameter do = 75 mm, inner diameter di, and wall thickness t. If F = 50 kN, determine the minimum wall thickness of the bushing based on the below design requirements: ⚫ the displacement of the bottom of the tie rod with respect to the fixed horizontal surface may not exceed $total = 1 mm ⚫ the normal stress of the bushing may not exceed the yield strength of the bushing material Lbushing do Lrod drod F tmin number (rtol=0.01, atol=1e-05) mm Rod cross section drod Bushing cross section do d₁

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
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Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)
Section: Chapter Questions
Problem 8.5.26P: A horizontal bracket ABC consists of two perpendicular arms AB of a length 0.75 m and BC of a length...
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A solid 4340 HR Steel tie rod of length Lrod = 850 mm is employed to compress a 6061-T6 aluminum
bushing of length bushing = 625 mm as shown. The tie rod has a solid circular cross section with diameter
drod = 22.5 mm. The bushing has a hollow circular cross section with outer diameter do = 75 mm, inner
diameter di, and wall thickness t. If F = 50 kN, determine the minimum wall thickness of the bushing based
on the below design requirements:
⚫ the displacement of the bottom of the tie rod with respect to the fixed horizontal surface may not exceed
Stotal = 1 mm
⚫ the normal stress of the bushing may not exceed the yield strength of the bushing material
Lbushing
do
Lrod
drod
F
tmin
=
number (rtol=0.01, atol=1e-05)
mm
Rod cross section
drod
Bushing cross section
do
di
Transcribed Image Text:A solid 4340 HR Steel tie rod of length Lrod = 850 mm is employed to compress a 6061-T6 aluminum bushing of length bushing = 625 mm as shown. The tie rod has a solid circular cross section with diameter drod = 22.5 mm. The bushing has a hollow circular cross section with outer diameter do = 75 mm, inner diameter di, and wall thickness t. If F = 50 kN, determine the minimum wall thickness of the bushing based on the below design requirements: ⚫ the displacement of the bottom of the tie rod with respect to the fixed horizontal surface may not exceed Stotal = 1 mm ⚫ the normal stress of the bushing may not exceed the yield strength of the bushing material Lbushing do Lrod drod F tmin = number (rtol=0.01, atol=1e-05) mm Rod cross section drod Bushing cross section do di
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