Manufacturing Engineering & Technology
7th Edition
ISBN: 9780133128741
Author: Serope Kalpakjian, Steven Schmid
Publisher: Prentice Hall
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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
A discontinuous fibre reinforced composite consists of 20mm long carbon fibres in a polymer matrix. The volume fraction of the
composite is 0.5, interfacial shear strength 5MPa and the critical fibre length 2.5mm. The fibre modulus is 250GPa and strain to
failure 1.5%. The matrix modulus is 3.5GPa and failure strain 10%.
If the ultimate fibre strength = 3500MPa, calculate the average failure stress in the composite.
Answer: 2584
Chapter 7 Solutions
Manufacturing Engineering & Technology
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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- An 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_forwardAlice is conducting a tensile test on continuous fiber alignment compositesamples. She found that the results are different in the longitudinal andtransverse directions of the samples. Explain why this happens with the aid ofdiagram.arrow_forwardA continuous and aligned glass fiber-reinforced composite with modulus of elasticity of 55 GPa. The volume fiber fraction is 40 and the modulus of elasticity of the fiber is 75 GPa. Calculate the volume fraction of epoxy matrix if you know the modulus of elasticity of the modulus of elasticity of the matrix is 2.5 GPa and then determine the strain that is sustained by each phase under applied stress of 27 Mpa. (assume that the cross-section area is 150 mm2)arrow_forward
- Problem 4 Calculate the tensile modulus of elasticity of a unidirectional carbon-fiber-reinforced-plastic composite material that contains 64 percent by volume of carbon fibers and is stressed under isostrain conditions. The carbon fibers have a tensile modulus of elasticity of 54.0 × 10° psi and the epoxy matrix a tensile modulus of elasticity of 0.530 x 10° psi.arrow_forward1. For a load applied in the direction of fiber, assuming equal deformation in the components, the two phases are viewed as being defomed in parallel. Derive an equation relating the elastic modulus of the composites. Farrow_forwardA discontinuous fibre reinforced composite consists of 20mm long carbon fibres in a polymer matrix. The volume fraction of the composite is 0.5, interfacial shear strength 5MPa and the critical fibre length 2.5mm. The fibre modulus is 250GPa and strain to failure 1.5%. The matrix modulus is 3.5GPa and failure strain 10%. Calculate the tensile strength of the composite in the fibre direction. Answer: 3564arrow_forward
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