2.3-8 A rectangular bar of length L has a slot in the middle half of its length (see figure). The bar has width b, thickness t, and modulus of elasticity E. The slot has width b/4. (a) Obtain a formula for the elongation 8 of the bar due to the axial loads P. (b) Calculate the elongátion of the bar if the mate- rial is high-strength steel, the axial stress in the middle region is 160 MPa, the length is 750 mm, and the modulus of elasticity is 210 GPa. (c) If the total elongation of the bar is limited to 8max = 0.475 mm, what is the maximum length of the slotted region? Assume that the axial stress in the middle region remains at 160 MPa.

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 2.3.8P: A rectangular bar of length L has a slot in the middle half of its length (see figure). The bar has...
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2.3-8 A rectangular bar of length L has a slot in
the middle half of its length (see figure). The bar has
width b, thickness t, and modulus of elasticity E. The
slot has width bl4.
(a) Obtain a formula for the elongation & of the bar
due to the axial loads P.
(b) Calculate the elongátion of the bar if the mate-
rial is high-strength steel, the axial stress in the
middle region is 160 MPa, the length is 750 mm,
and the modulus of elasticity is 210 GPa.
(c) If the total elongation of the bar is limited to
8max = 0.475 mm, what is the maximum length
of the slotted region? Assume that the axial
stress in the middle region remains at 160 MPa.
b
L
L
2
4
Transcribed Image Text:2.3-8 A rectangular bar of length L has a slot in the middle half of its length (see figure). The bar has width b, thickness t, and modulus of elasticity E. The slot has width bl4. (a) Obtain a formula for the elongation & of the bar due to the axial loads P. (b) Calculate the elongátion of the bar if the mate- rial is high-strength steel, the axial stress in the middle region is 160 MPa, the length is 750 mm, and the modulus of elasticity is 210 GPa. (c) If the total elongation of the bar is limited to 8max = 0.475 mm, what is the maximum length of the slotted region? Assume that the axial stress in the middle region remains at 160 MPa. b L L 2 4
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