If a sample has a high modulus of elasticity, will the material exhibit a high degree of elasticity or not? Explain your answer.
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A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…
Q: How can you determine the modulus of elasticity and the modulus of rigidity of the material?
A: The expression to determine the modulus of elasticity is, Here, Y is the modulus of the elasticity…
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Q: Differentiate between normal strain measures and sheer strain measures?
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Q: sticity?
A: given: What is modulus of elasticity?
Q: Give some examples of Ductile materials?
A: Ductile material, Ductile material is one which has considerable plastic (permanent deformation)…
Q: What is the Relationship between modulus of elasticity and bulk modulus ?
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A: Answer is given below
Q: Define the term Stiffness? of materials?
A: Stiffness: Stiffness is a property of material due to which an object resists deformation when an…
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Q: Distinguish between the Brittle material and the Ductile material?
A: Brittle Materials: These materials elongate on the application of load to the materials. They can…
Q: Explain what is the modulus of elasticity?
A: Modulus of elasticity: Modulus of elasticity is defined as the resistance per unit area produced in…
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Q: Describe the theory of elasticity?
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Q: Distinguish between the Theory of Elasticity and the Theory of Plasticity?
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Q: What is the Theory of Elasticity?
A: Elasticity is a property of a material to deform under the action of external force and regain its…
Q: Define the term Modulus of Rigidity?
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Q: If a brittle material has a stress-strain diagram, Is it different in tension and compression?
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Q: What is the relation between modulus of elasticity and modulus of rigidity.
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A: Solution:
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Q: Give some examples of brittle materials?
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Q: How are Engineering stress and strain calculated?
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Q: Define the term Modulus of Toughness?
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Q: Where Expressions from the linear theory of elasticity are in use?
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Q: Define the modulus of elasticity?
A: modulus of elasticity is a property of a material.
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Q: What is the modulus of rigidity?
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- Briefly explain, what are the modulus of elasticity and modulus of rigidity and the relationship between these two modulus?QUESTION ONE (a) Distinguish between physical and mechanical properties of materials. Give two examples of each. (b) Explain why in a stress versus strain curve, the plastic portion of the graph after necking tends to drop (ie the force drops) despite that the tension is increasing. (c) A tensile test uses a copper test specimen that has a gauge length of 80 mm and a di.ameter of 16 mm. During the test, the specimen yields under a load of 9,600 N. The corresponding gauge length is 80.24 mm. The maximum load reached is 148,000 N at a gauge length of 94.2 mm, while fracture happens at a load of 12,800 N and a gauge length of 102 6 mm Determine the following: (i) Modulus of elasticity E (ii) Yield strength Oy (iii) Fracture strength, ơt (iv) Tensile strength OTs. 11. 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 214
- The mechanical properties of a material can be determined by a simple strees strain test. Explain THREE (3) types of test that mostly conducted for metals at room temperature. Support your answer with the diagrams of material after deformation.Explain the difference between Modulus of elasticity and Stiffness?(a) Two different materials designated A, and B, are tested in tension using test specimens having diameters of 0.505 cm and gage lengths of 2.0 cm (Figure 1). At failure, the distances between the gauge length marks are 2.13 cm (sample A) and 2.48 cm (sample B). Also, at the failure cross-sections, the diameters are found to be 0.484 cm (sample A) and 0.398 cm (sample B), respectively. Classify each material as brittle or ductile using your judgement.
- (a) Two different materials designated A, and B, are tested in tension using test specimens having diameters of 0.505 cm and gage lengths of 2.0 cm (Figure 1). At failure, the distances between the gauge length marks are 2.13 cm (sample A) and 2.48 cm (sample B). Also, at the failure cross-sections, the diameters are found to be 0.484 cm (sample A) and 0.398 cm (sample B), respectively. i. Calculate the percent elongation and percent of area reduction in each specimen. a. Sample A b. Sample BA steel rod 22 mm in diameter and 1000 mm long is required to have an elastic strain energy of 90 N.m. What should be the yield strength of the material if its modulus of elasticity is 2.1x105 MPa? Hint: Elastic strain energy is related with the resilience of the material.Briefly comment on the values obtained for the Elastic Modulus, Yield Strength, Ultimate Strength and Toughness of the test specimen as compared to values of various comparable materials found in the literature. Is the test material comparatively strong? Is it stiff? Is it tough? Yield strength is 186Mpa, elastic modulus is 44.8GPa And the ultimate strength is 238.7mpa
- If material A is observed to have twice the modulus of rigidity but the same Poisson's ratio and yield shear stress than that of material B, then which of the following comparisons is always true? Select one: Material A can resist higher normal stresses than material B can before permanent normal deformations occur. O b For the same load that brings the materials to plastic behavior, material A will experience larger permanent shear deformations than material B. Material A can resist higher shear stresses than material B before permanent shear deformations occur. O d. Material B is has a lower ultimate stress than material A.A high-strength steel was subjected to a tensile test. It failed under a stress of 1600 MPa with a total strain of 2.7%. (E = 200 GPa, oy = 1400 MPa.) (a) What is the ductility of this steel in terms of % elongation? (b) Estimate the diameter of a specimen made of this material that can carry a load of 5000 N while remaining in the elastic regime.For a brass alloy, the stress at which plastic deformation begins is 345 MPa, and the modulus of elasticity is 103 GPa. Determine the following bläi 3 What is the maximum load that may (a) be applied to a specimen with a cross- sectional area of 130 mm2 without plastic deformation?(b) If the original specimen length is 76 mm, what is the maximum length to which it may be stretched without causing plastic ?deformation