An aluminum alloy bar with a rectangular cross section that has a width of 12.5 mm, thickness of 6.25 mm, and a gauge length of 50 mm was tested in tension to fracture according to ASTM E-8 method. The load and deformation data were as shown in Table P4.6. Using a spreadsheet program, obtain the following: a. A plot of the stress-strain relationship. Label the axes and show units. b. A plot of the linear portion of the stress-strain relationship. Determine the modulus of elasticity using the best fit approach. c. Proportional limit. d. Yield stress at an offset strain of 0.002 m/m. e. Tangent modulus at a stress of 450 MPa. f. Secant modulus at a stress of 450 MPa. TABLE P4.6 Load (kN) AL (mm) Load (kN) AL (mm) 33.5 1.486 3.3 0.025 35.3 2.189 14.0 0.115 37.8 3.390 25.0 0.220 39.8 4.829 29.0 0.406 40.8 5.961 30.6 0.705 41.6 7.386 31.7 0.981 41.2 8.047 32.7 1.245

An aluminum alloy bar with a rectangular cross section that has a width of 12.5 mm, thickness of 6.25 mm, and a gauge length of 50 mm was tested in tension to fracture according to ASTM E-8 method. The load and deformation data were as shown in Table P4.6. Using a spreadsheet program, obtain the following: a. A plot of the stress-strain relationship. Label the axes and show units. b. A plot of the linear portion of the stress-strain relationship. Determine the modulus of elasticity using the best fit approach. c. Proportional limit. d. Yield stress at an offset strain of 0.002 m/m. e. Tangent modulus at a stress of 450 MPa. f. Secant modulus at a stress of 450 MPa. TABLE P4.6 Load (kN) AL (mm) Load (kN) AL (mm) 33.5 1.486 3.3 0.025 35.3 2.189 14.0 0.115 37.8 3.390 25.0 0.220 39.8 4.829 29.0 0.406 40.8 5.961 30.6 0.705 41.6 7.386 31.7 0.981 41.2 8.047 32.7 1.245

Steel Design (Activate Learning with these NEW titles from Engineering!)

6th Edition

ISBN:9781337094740

Author:Segui, William T.

Publisher:Segui, William T.

Chapter1: Introduction

Section: Chapter Questions

Problem 1.5.5P: The results of a tensile test are shown in Table 1.5.2. The test was performed on a metal specimen...

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Concept explainers

Introduction to Steel Design

The area of steel design is majorly concerned with the structural engineering domain, which is a specialization of civil engineering. Steel design is often known as structural steel design, whose primary concern is to design steel structures. The primary structure involves the designing and construction of frames using structural steel as the material. Residential buildings, houses, bridges, complexes, tall buildings, industrial warehouses, aircraft frames, frames of ships, and stadiums are some of the examples of structures that use steel framing.

Question

An aluminum alloy bar with a rectangular cross section that has a width of
12.5 mm, thickness of 6.25 mm, and a gauge length of 50 mm was tested in
tension to fracture according to ASTM E-8 method. The load and deformation
data were as shown in Table P4.6.
Using a spreadsheet program, obtain the following:
a. A plot of the stress-strain relationship. Label the axes and show units.
b. A plot of the linear portion of the stress-strain relationship. Determine
the modulus of elasticity using the best fit approach.
c. Proportional limit.
d. Yield stress at an offset strain of 0.002 m/m.
e. Tangent modulus at a stress of 450 MPa.
f. Secant modulus at a stress of 450 MPa.
TABLE P4.6
Load (kN)
AL (mm)
Load (kN)
AL (mm)
33.5
1.486
3.3
0.025
35.3
2.189
14.0
0.115
37.8
3.390
25.0
0.220
39.8
4.829
29.0
0.406
40.8
5.961
30.6
0.705
41.6
7.386
31.7
0.981
41.2
8.047
32.7
1.245

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