Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 6.13, Problem 67SEP
A 20-mm-diameter, 350-mm-long rod made of an aluminum alloy 7075-T6 (use Figure 6.20 to estimate properties) is used in aircraft. Determine the elongation in the rod if a load of 60 kN is applied. What percentage of this elongation is elastic? At what load does the rod yield? What is the maximum load the bar can take without fracture?
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A horizontal steel I – beam of cross-sectional area 0.041m2 is rigidly connected to two vertical girders. If the beam was installed when the temperature was 300C, what stress is developed in the beam when the temperature drops to - 300C? (b) Is the ultimate strength of the steel exceeded? (c)What stress is developed if the beam is concrete and has a cross- sectional area of 0.13m2 ? Will it fracture?
A 200mm long rod with a diameter of 50mm is loaded with a 4kN weight. The rod final length 201.314mm and final diameter 42mm the load at fracture is 2.5kN and the maximum load is 3.5KN.
1. Calculate percentage of reduction in area
2. Calculate elongation
Consider a solid bar with 1.00 in diameter subjected to a bending moment, M, and a
twisting moment, T, with equal magnitudes, so that M = T.
M
a) If the bar is made of a brittle material that fails in uniaxial tension at 6000 psi,
what is the minimum value of M and T that would cause brittle failure?
Make a sketch of the bar and show the orientation of the fracture plane relative to
the axial direction of the bar.
b) If the bar is made of a ductile material with yield stress of 36000 psi, what is the
minimum value of M and T that would cause yielding? Assume von-Mises theory.
Hint: Start by determining the state of stress at a point on the top of the bar.
Chapter 6 Solutions
Foundations of Materials Science and Engineering
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