Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 17.14, Problem 41SEP
To determine
The cross-sectional area of the bone plate so that the plate and the bone share an equal amount of load.
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29
Assume that Young's modulus is 1.50 x 1010 N/m2 for bone and that the bone will fracture if
stress greater than 1.50 x 108 N/m2 is imposed on it. If this much force is applied
comprehensively, by how much (in mm), does the 25.0-cm-long bone shorten
A new high stiffness plastic material has a length
of 19.7 inches and a thickness of 3 mm and is being
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of this material, which has a modulus of 4 GPa.
At 90 degrees of knee flexion, the mechanical stress at the tibiofemoral joint is 821.43 N/cm^2. If the compressive force is 1150 N, what is the magnitude of joint contact area (in cm^2)?
Chapter 17 Solutions
Foundations of Materials Science and Engineering
Ch. 17.14 - Explain the difference between a biomaterial and...Ch. 17.14 - Explain why bone may be classified as a composite...Ch. 17.14 - Prob. 3KCPCh. 17.14 - Prob. 4KCPCh. 17.14 - Prob. 5KCPCh. 17.14 - What is stress shielding? How can it be avoided?Ch. 17.14 - Prob. 7KCPCh. 17.14 - What properties of biopolymers make them suitable...Ch. 17.14 - Prob. 9KCPCh. 17.14 - Prob. 10KCP
Ch. 17.14 - Prob. 11KCPCh. 17.14 - Prob. 12KCPCh. 17.14 - Prob. 13KCPCh. 17.14 - Prob. 14KCPCh. 17.14 - Prob. 15KCPCh. 17.14 - Prob. 16KCPCh. 17.14 - Prob. 17KCPCh. 17.14 - Prob. 18KCPCh. 17.14 - Prob. 19KCPCh. 17.14 - Prob. 20KCPCh. 17.14 - Prob. 21KCPCh. 17.14 - Prob. 22KCPCh. 17.14 - Prob. 23KCPCh. 17.14 - Prob. 24KCPCh. 17.14 - Prob. 25KCPCh. 17.14 - Prob. 26KCPCh. 17.14 - What is tissue engineering? What is the principle...Ch. 17.14 - Prob. 28KCPCh. 17.14 - Prob. 29KCPCh. 17.14 - Prob. 30AAPCh. 17.14 - Prob. 32AAPCh. 17.14 - Prob. 33AAPCh. 17.14 - Prob. 34AAPCh. 17.14 - Prob. 39SEPCh. 17.14 - Prob. 40SEPCh. 17.14 - Prob. 41SEPCh. 17.14 - Prob. 42SEPCh. 17.14 - Prob. 43SEPCh. 17.14 - Prob. 44SEPCh. 17.14 - A bone has fractured along an inclined plane as...Ch. 17.14 - Prob. 46SEPCh. 17.14 - Prob. 47SEPCh. 17.14 - Prob. 48SEPCh. 17.14 - Prob. 49SEPCh. 17.14 - What role does the water content play in the...Ch. 17.14 - Prob. 51SEPCh. 17.14 - Prob. 52SEPCh. 17.14 - When you wake up in the morning, you are taller...Ch. 17.14 - Prob. 54SEPCh. 17.14 - Prob. 55SEP
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- A 35 kN axial load is applied to a metal bar with a rectangular cross-section, 28mm wide by 10mm thick. While the load is applied, the bar elongates 3.0 mm. The modulus of elasticity and the Poisson's ratio are 100 GPa and 0.35, respectively. Assuming that the bar is still behaving elastically, how long is the original length of the bar in meters? Round off answers to the nearest tenths.arrow_forwardAssume that Young's modulus for bone is 1.5x10^10 N/m2 and that a bone will fracture if more than 1.5x10^8 N/m2 is exerted. (a) What is the maximum force that can be exerted on the femur bone in the leg if it has a minimum effective diameter of 2.50 cm? (b) If a force of this magnitude is applied compressively, by how much does the 25.0-cm-long-bone shorten?arrow_forward14. BIO A stainless-steel orthodontic wire is applied to a tooth, as in Figure P9.14. The wire has an unstretched length of 3.1 cm and a radius of 0.11 mm. If the wire is stretched 0.10 mm, find the magnitude and direction of the force on the tooth. Disregard the width of the tooth and assume Young's modulus for stainless steel is 18 X 100 Pa. 30 30 Figure P9.14arrow_forward
- A piece of steel rebar is tested in tension to determine its mechanical properties. The length of the sample is 87.3 mm and the cross-sectional area is 52.1 mm². When stretched by 37.2 mm, the force measured is 14,884 N. At this point, the graph is non-linear, but no clear neck is visible. If the Poisson's ratio of the material is 0.281, calculate the cross-sectional area (mm²) at this point.arrow_forwardWhat is the torque (in ft.lbs.) needed to fracture a bone if: A typical human tibia is 1.5 cm inside diameter and 5 cm. outside diameter. The polar moment of inertia of this typical tibia is 60.8 cm4. Human bone has a shear modulus of G=3.5. The length of a female adolescent tibia at age 14 is 373 mm or 37.3 cm.arrow_forwardCalculate the Young Modulus for a mild steel. When a rod of the steel is being tested under tensile load. The rod is 4.5m long with a diameter of diameter of 35mm and suffers an extension of 0.9mm under a load of 50,000N 259 x 106 N/m² 259GN/m² 55MN/m² 64GN/m²arrow_forward
- 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 2arrow_forward5. A force of 20,000 N will cause a 1 cm x 1 cm bar of magnesium to stretch from 10 cm to 10.045 cm. Calculate the modulus of elasticity, both in GPa and psi.arrow_forward1. Determine which listed material below is the best candidate for a cylindrical rod of 200mm and having a diameter 20.0mm and subject to a tensile load of 55000N. The cylindrical rod should not experience plastic deformation or diameter reduction of 0.015mm. Justify your answer. Material Modulus of Elasticity (GPa) 140 Yield Strength (MPa) Poisson's Ratio 0.33 0.34 0.30 0.34 A 400 202 600 414 800 1300 214arrow_forward
- 1) Draw (using a normal graph paper) a conventional stress-strain diagram for ANY metallic material (e.g. steel, aluminium, copper, brass, iron, tungsten). The diagram should be as accurate as possible using a suitable scale (e.g. 1cm: 10 N). 2) Calculate the Modulus of Elasticity, Modulus of Toughness and Modulus of Resilience for the material from the stress-strain diagram. Show your calculations in detail on a separate A4 piece of paper.arrow_forward6. State your answers to the following questions.Strain Gauge represents the deformation of a material through a change in resistance. If so, explain how temperature will affect the strain gauge in the experimental environment.①:In this experiment, the Strain Gauge measures the strain in micro units. Explain one possible error factor when applying a load by hanging a weight on the material with the strain gauge attached. (Hint: It is easy to shake by hanging the weight using a thread)①:arrow_forward. An elliptical hair, 10.0 cm long, has the following semi-diameters A = 35\mu , B=25 \mu When the hair was extended from 10.0 cm to 10.1 cm at 50% RH the force on the hair increased by 11.3 grams. What is the modulus of elasticity in GPa, (round off) Group of answer choices 10.0 1.0 8.0 4.0arrow_forward
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