A bar ABC of length L consists of two parts of equal lengths but different diameters. Segment AB has diameter d1= 100 mm while segment BC has diameter d2 = 60 mm. Both segments have length L/2 = 0.6 m. A longitudinal hole of diameter d is drilled through segment AB for one-half of its length (distance L/4= 0.3 m). The bar is made of plastic having modulus of elasticity E = 4.0 GPa. Compressive loads P= 110 kN act at the ends of the bar. If the shortening of the bar is limited to 8.0 mm, what is the maximum allowable diameter dmax (mm) of the hole? dmax B d2 P 4. (а)

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter2: Axially Loaded Members
Section: Chapter Questions
Problem 2.10.4P: Around brass bar of a diameter d1= 20mm has upset ends each with a diameter d2= 26 mm (see figure)....
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A bar ABC of length L consists of two parts of equal lengths but
different diameters. Segment AB has diameter d1= 100 mm while
segment BC has diameter dz = 60 mm. Both segments have length
L/2 = 0.6 m. A longitudinal hole of diameter d is drilled through
segment AB for one-half of its length (distance L/4= 0.3 m). The bar
is made of plastic having modulus of elasticity E = 4.0 GPa.
Compressive loads P= 110 kN act at the ends of the bar. If the
shortening of the bar is limited to 8.0 mm, what is the maximum
allowable diameter dmax (mm) of the hole?
dmax
d2
4.
2
(a)
Transcribed Image Text:A bar ABC of length L consists of two parts of equal lengths but different diameters. Segment AB has diameter d1= 100 mm while segment BC has diameter dz = 60 mm. Both segments have length L/2 = 0.6 m. A longitudinal hole of diameter d is drilled through segment AB for one-half of its length (distance L/4= 0.3 m). The bar is made of plastic having modulus of elasticity E = 4.0 GPa. Compressive loads P= 110 kN act at the ends of the bar. If the shortening of the bar is limited to 8.0 mm, what is the maximum allowable diameter dmax (mm) of the hole? dmax d2 4. 2 (a)
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