EBK MANUFACTURING ENGINEERING & TECHNOL
7th Edition
ISBN: 9780100793439
Author: KALPAKJIAN
Publisher: YUZU
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Chapter 7, Problem 51QTP
To determine
Determine the maximum deflection of the beam by selecting three unreinforced and three reinforced materials from table 7.1. Further, calculate the same for aluminum and steel, and compare the answer.
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(B) Composite consists of polyester as a matrix reinforced by glass fiber. If the
composite have cross- sectional area is (250 mm') and stress of (50 MPa) is
applied in this longitudinal direction.
1-Compute the weight fraction of fibers and matrix.
2-Compute the magnitude of the load carried by each of fiber and matrix phase.
Note:-
Modulus of Elasticity
(GPa)
Material
Density (g/cm³)
Polyester
1.38
3.4
Glass Fiber
2.58
69
Composite
2.1
you are analyzing the maximum stress of a rectangular cross-section cantilever beam that is distributed uniformly loaded. The base is varied by a factor of 5.45 by what factor does the height need to vary to keep all other parameters constant.
Discuss how to design a prismatic beam so that it is able to resist both internal bending and shear?
Chapter 7 Solutions
EBK MANUFACTURING ENGINEERING & TECHNOL
Ch. 7 - Summarize the important mechanical and physical...Ch. 7 - What are the major differences between the (a)...Ch. 7 - List properties that are influenced by the degree...Ch. 7 - What is the difference between condensation...Ch. 7 - Explain the differences between linear, branched,...Ch. 7 - What is the glass-transition temperature?Ch. 7 - List and explain the additives commonly used in...Ch. 7 - What is crazing?Ch. 7 - What are polyblends?Ch. 7 - List the major differences between thermoplastics...
Ch. 7 - What is an elastomer?Ch. 7 - What effects does a plasticizing agent have on a...Ch. 7 - Define the following abbreviations: PMMA, PVC,...Ch. 7 - Explain why it would be advantageous to produce a...Ch. 7 - What are the differences and similarities of...Ch. 7 - Are molecular weight and degree of polymerization...Ch. 7 - Why do polymers need to be dried before...Ch. 7 - What characteristics of polymers make them...Ch. 7 - Do polymers strain harden more than metals or vice...Ch. 7 - Inspect various plastic components in an...Ch. 7 - Give applications for which flammability of...Ch. 7 - What characteristics make polymers advantageous...Ch. 7 - What properties do elastomers have that...Ch. 7 - Do you think that the substitution of plastics for...Ch. 7 - Is it possible for a material to have a hysteresis...Ch. 7 - Observe the behavior of the specimen shown in Fig....Ch. 7 - Add more to the applications column in Table 7.3.Ch. 7 - Discuss the significance of the glass-transition...Ch. 7 - Prob. 29QLPCh. 7 - Explain how cross-linking improves the strength of...Ch. 7 - Describe the methods by which the optical...Ch. 7 - How can polymers be made to conduct electricity?...Ch. 7 - Explain the reasons for which elastomers were...Ch. 7 - Give several examples of plastic products or...Ch. 7 - Describe your opinions regarding the recycling of...Ch. 7 - Explain how you would go about determining the...Ch. 7 - Compare the values of the elastic modulus, given...Ch. 7 - Why is there so much variation in the stiffness of...Ch. 7 - Explain why thermoplastics are easier to recycle...Ch. 7 - Give an example where crazing is desirable.Ch. 7 - Describe the principle behind shrink wrapping.Ch. 7 - List and explain some environmental pros and cons...Ch. 7 - List the characteristics required of a polymer for...Ch. 7 - How can you tell whether a part is made of a...Ch. 7 - As you know, there are plastic paper clips...Ch. 7 - By incorporating small amounts of a blowing agent,...Ch. 7 - In injection-molding operations (Section 19.3), it...Ch. 7 - From an environmental standpoint, do you feel it...Ch. 7 - Calculate the areas under the stressstrain curve...Ch. 7 - Prob. 50QTPCh. 7 - Prob. 51QTPCh. 7 - Estimate the number of molecules in a typical...Ch. 7 - Using strength and density data, determine the...Ch. 7 - Prob. 54QTPCh. 7 - Prob. 55SDPCh. 7 - Describe the design considerations involved in...Ch. 7 - Assume that you are manufacturing a product in...Ch. 7 - Assume you work for a company that produces...Ch. 7 - Prob. 59SDPCh. 7 - Make a list of products or parts that currently...Ch. 7 - Prob. 61SDPCh. 7 - Prob. 62SDPCh. 7 - Prob. 63SDPCh. 7 - Prob. 64SDPCh. 7 - With Table 7.3 as a guide, inspect various...
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- Calculate the persistence length that can be obtained by bending the polymer to form a 90 degree turn, and calculating the length of the segment that would give a bending energy of the order of the thermal energy kBTarrow_forwardFor a glass/epoxy lamina with a 70% fiber volume fraction using the properties in the tables provided below (a) Find the ultimate tensile strength. (b) Find the minimum and critical fiber volume fractions related to (a). (c) Find the compressive strength when the matrix undergoes extension mode and when the matrix undergoes shear mode, which one controls the compressive failure? Property Axial modulus Transverse modulus Axial Poisson's ratio Transverse Poisson's ratio Shear modulus Axial tensile strength Axial compressive strength Transverse tensile strength Transverse compressive strength Shear strength Epoxy Glass Units 3.4 85 GPa 3.4 85 GPa 0.3 0.20 0.3 0.20 1.308 35.42 GPa 72 1550 MPa 102 1550 MPa 72 1550 MPa 102 1550 MPa 34 35 MPaarrow_forwardCompute the modulus of elasticity for a composite which uses High Modulus Carbon fibers and Polyester matrix. The volume fraction of fibers is 25 % and matrix is 75 %.arrow_forward
- 1.2 kN/m A B S5 x 10 1-beam 5.8 m Part I (a) A S5 x 10 I-beam made of aluminum is loaded by a distributed load of 1.2 kN/m. Calculate the deflection at end B. What is the mass of this structure? Repeat your calculations assuming that the material is (b) titanium, (c) magnesium. Also calculate the mass of the titanium and magnesium beam. Part II If the maximum deflection of the I beam allowed at point B is 3.5 cm, what is the distributed load acting on it for (a) aluminum beam (b) titanium beam (c) magnesium beam?arrow_forwardPlease calculate UD composite material averaged mechanical constants EL: ET; VET. Gur Fiber and matrix properties are: E, = 240GP3; v, = 0.26; E = 2.6GPA; v = 0.38; fibers volume fraction V, = 0.48 Please use different methods and compare obtained results.arrow_forwardAn application requires the support of an axial load of 100 kips with a round rod without exceeding the yield strength of the material. Assume the current cost per pound for round stock is given in the table below for several materials that are being considered. Material properties are available in Tables A-5, A-20, A-21, and A-24. Select one of the materials for each of the following additional design goals. (a) Minimize diameter. (b) Minimize weight. (c) Minimize cost. (d) Minimize axial deflection. Material 1020 HR 1020 CD 1040 Q&T @800°F 4140 Q&T @800°F Wrought Al 2024 T3 Titanium alloy (Ti-6Al-4V) Cost/lbf $0.27 $0.30 $0.35 $0.80 $1.10 $7.00 Page 90arrow_forward
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