Foundations of Materials Science and Engineering
Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 17.14, Problem 48SEP
To determine

When you pull a bone-ligament-bone complex, failure is observed in the ligament substance if the strain rate is high. If the strain rate is low, the failure is observed in the bone close to the ligament insertion. What might be the reason for this behavior.

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In the tensile test experiment, one of the following is correct regarding the final fracture: Select one: O The fracture occurs in the middle of the specimen and is inclined with 45°. O The fracture occurs anywhere in the smallest cross sectional-area of the specimen and is perpendicular to the direction of the load applied. O Fracture occurs randomly and we can never predict the shape of it O The fracture occurs anywhere in the smallest cross sectional-area of the specimen and is inclined with 45°.
Question 2 In designing prosthetic sockets, the latter will need to be experimentally tested for their structural integrity. Figure 2 shows one such design of a prosthetic socket which is made of carbon fibre composite. Strain gauges are installed to record the strains at various locations of the legs during walking and the readings are recorded using a telemetry system to detemine the critical stressed area. At a particular strain gauge location indicated in Figure 2, the readings recorded by one of the 45° strain gauge rosettes are: Ea = 2500 x 10*, es = 1500 x 10°, & = -950 x 10* Using Mohr's Cicle or otherwise, detemine: (a) the principal strains and the direction of the maximum principal strain relative to the gauge "a". (b) the corresponding principal stresses and sketch the results on a properly oriented element. You may assume that the prosthetic socket is made of polypropylene whose Young's modulus of 1.0 GPa and Poisson ratio of 0.3. Figure 2
A test specimen data made of polyvinyl chloride with 10.16-mm-diameter were collected (l. = 50.80 mm) and shown in Table 1. After fracture, the total length was extended to 53.08 mm and the diameter was 9.98 mm. Load (kN) Al (mm) 0 0.00 1.35 0.19 2.65 0.40 4.00 0.60 5.35 0.81 6.65 1.17 7.35 1.78 (maximum load) 7.10 2.39 6.30 3.05 (fracture) Table 1: The results of the tensile test for polyvinyl chloride. Plot the engineering stress-strain curve (list the stress and strain value in a Table) and evaluate: (i) (ii) the 0.2% offset yield strength; the modulus of elasticity; (iii) the percentage of reduction in area; (iv) the engineering stress at fracture; (v) the modulus of resilience.

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Foundations of Materials Science and Engineering

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