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Chapter 10, Problem 10.25QP

A pine wood specimen was prepared with actual dimensions of 50 mm × 50 mm × 250 mm and grain parallel to its length. The deformation was measured over a gauge length of 200 mm. The specimen was subjected to compression parallel to the grain to failure. The load–deformation results are as shown in Table P10.25.

TABLE P10.25

Load (Kn) Deformation (mm)
0 0
8.9 0.457
17.8 0.597
26.7 0.724
35.6 0.838
44.5 0.965
53.4 1.118
62.3 1.270
71.2 1.422
80.1 1.588
89.0 1.765
97.9 1.956
106.8 2.159
111.3 2.311
  1. a. Using a computer spreadsheet program, plot the stress–strain relationship.
  2. b. Calculate the modulus of elasticity.
  3. c. What is the failure stress?
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A wood specimen was prepared with actual dimensions of 25 mm * 25 mm *150 mm and grain parallel to its length. Displacement was measured over a100 mm gauge length. The specimen was subjected to compression parallel to the grain to failure. The load–deformation results are as shown in Table P10.24. a. Using a computer spreadsheet program, plot the stress–strain relationship.b. Calculate the modulus of elasticity.c. What is the failure stress?
A 100 mm * 100 mm wood lumber was subjected to bending with a span of 1.5 m until failure by applying a load in the middle of its span. The load and the deflection in the middle of the span were recorded as shown in Table P10.21. a. Using a computer spreadsheet program, plot the load–deflection relationship. b. Plot the proportional limit on the graph. c. Calculate the modulus of rupture (flexure strength).
Getting measurements from Figure 11.20, determine approximate values ofthe following items for plain concrete, concrete with 2% steel fibers, and concrete with 3% steel fibers:a. Modulus of elasticityb. Ultimate strengthc. Strain at failured. Toughness. Curves may be approximated with a series of straight lines.e. Comment on the effects of increasing the steel fiber content on items a, b,c, and d above.
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