Mechanics of materials
Explain the work
A 5-kN tensile load is applied to a test specimen. Made from 5-mm flat steel plate (E = 200 GPa, v=0.30). Determine: a. Average normal stress in L = 50nm gage length portion b. Deformation of the 50-mm gage length c. The deformed width of portion AB, with original W = 50 mm
Homework Answers
A P=2-kN tensile load is applied to a test coupon made from 1.6-mm thick flat steel...
A P=2-kN tensile load is applied to a test coupon made from
1.6-mm thick flat steel plate (E = 220 GPa, v =
0.30). Assuming a=45 mm and b=13 mm,
(a) Determine the resulting change in the 45-mm gage length.
(b) Determine the resulting change in the 13-mm width.
(c) Determine the resulting change in the 1.6-mm thickness.
(d) Determine the resulting change in the cross-sectional
area.
The uniaxial state of stress in given as ________ (MPa)
A P-2-kN tensile...
1. A tensile force of 100 kN is applied on a 0.02 m diameter 2 m...
1. A tensile force of 100 kN is applied on a 0.02 m diameter 2 m length rod. After applying the load, the diameter of the rod decreases to 0.01998 m and the length increases to 2.01 m. What is the Poisson's Ratio of this material? 2. A tensile force of 100 kN is applied on a 0.02 m diameter 2 m length rod. After applying the load, the diameter of the rod decreases to 0.01998 m and the length...
2. A steel bar 100 mm long and having a square cross section 20 mm on...
2. A steel bar 100 mm long and having a square cross section 20 mm on an edge is pulled in tension with a load of 89,000 N and experiences an elongation of 0.10 mm. Assuming that the deformation is entirely elastic, calculate the elastic modulus of steel. Give your answer in GPa. 3. A zinc single crystal is being pulled in tension with the normal to its basal plane (0001) at 60° to the tensile axis and the slip...
Draw a schematic stress-strain diagram for steel. Make sure you mark all the important points and regions on it
1. Draw a schematic stress-strain diagram for steel. Make sure you mark all the important points and regions on it. Provide a one-two sentence explanation for each point and region along the diagram. 2. A cylindrical specimen of a nickel alloy having an elastic modulus of 207 GPa (30 x 10* psi) and an original diameter of 10.2 mm (0.40 In.) will experience only elastic deformation when a tensile load of 8900 N (2000 Ibe) is applied. Compute the maximum length...
INGE 4019 Introduction to Mechanics of Materials March 6, 2019 A Problem 4, (20 points) An...
INGE 4019 Introduction to Mechanics of Materials March 6, 2019 A Problem 4, (20 points) An axial centric force of magnitude P 450 kN is applied to the composite block shown by means of a rigid end plate. Knowing that h -10 mm, determine: 1) the normal stress in (a) the brass core, (b) the aluminum plates. (10 pts.) 2) (a) the value of h if the portion of the load carried by the aluminum plates is half the portion...
Problem #1 A cylindrical rod of copper (E 110 GPa) having a yield strength of 240...
Problem #1 A cylindrical rod of copper (E 110 GPa) having a yield strength of 240 MPa is to be subjected to a load of 6660 N. If the length of the rod is 380 mm, what must the diameter be to allow an elongation of 0.50 mm? A cylindrical specimen of some alloy 8 mm in diameter is stressed elastically in tension. A force of 15,700 N produces a reduction in the specimen diameter of 5 10-3 mm. Compute...
A cylindrical specimen of some metal alloy having an elastic modulus of 121 GPa and an...
A cylindrical specimen of some metal alloy having an elastic modulus of 121 GPa and an original cross-sectional diameter of 4.7 mm will experience only elastic deformation when a tensile load of 2400 N is applied. Calculate the maximum length of the specimen before deformation if the maximum allowable elongation is 0.41 mm.
A cylindrical specimen of some metal alloy having an elastic modulus of 120 GPa and an...
A cylindrical specimen of some metal alloy having an elastic modulus of 120 GPa and an original cross-sectional diameter of 3.0 mm will experience only elastic deformation when a tensile load of 2400 N is applied. Calculate the maximum length of the specimen before deformation if the maximum allowable elongation is 0.47 mm.
Assignment 01 TOT Mechanical Properties of Materials 1. A tensile test specimen has a gage length...
Assignment 01 TOT Mechanical Properties of Materials 1. A tensile test specimen has a gage length = 50 mm and its cross-sectional area = 100 mm. The specimen yields at 48,000 N, and the corresponding gage length - 50.23 mm. This is the 0.2 ent yield point. The maximum load of 87,000 N is reached at a gage length 64.2 mm. Determine (a) yield strength, (b) modulus of elasticity, and (c) tensile strength. (d) If fracture occurs at a gage...
Deformation and Fracture Mechanics 1. (Fracture toughness) (a) An AISI 4340 steel plate has a width...
Deformation and Fracture Mechanics
1. (Fracture toughness) (a) An AISI 4340 steel plate has a width W of 30 cm and has a central crack 2a of 3 mm. The plate is under a uniform stress, ?·This steel has a Kic value of 50 m2. Find the maximum stress for this crack length. (b) If the operating stress is 1500 MPa, compute the maximum crack size that the steel may have without failure. 2. (Plastic zone radius) The size of...
A P=2-kN tensile load is applied to a test coupon made from
1.6-mm thick flat steel plate (E = 220 GPa, v =
0.30). Assuming a=45 mm and b=13 mm,
(a) Determine the resulting change in the 45-mm gage length.
(b) Determine the resulting change in the 13-mm width.
(c) Determine the resulting change in the 1.6-mm thickness.
(d) Determine the resulting change in the cross-sectional
area.
The uniaxial state of stress in given as ________ (MPa)
A P-2-kN tensile...
1. A tensile force of 100 kN is applied on a 0.02 m diameter 2 m length rod. After applying the load, the diameter of the rod decreases to 0.01998 m and the length increases to 2.01 m. What is the Poisson's Ratio of this material? 2. A tensile force of 100 kN is applied on a 0.02 m diameter 2 m length rod. After applying the load, the diameter of the rod decreases to 0.01998 m and the length...
2. A steel bar 100 mm long and having a square cross section 20 mm on an edge is pulled in tension with a load of 89,000 N and experiences an elongation of 0.10 mm. Assuming that the deformation is entirely elastic, calculate the elastic modulus of steel. Give your answer in GPa. 3. A zinc single crystal is being pulled in tension with the normal to its basal plane (0001) at 60° to the tensile axis and the slip...
INGE 4019 Introduction to Mechanics of Materials March 6, 2019 A Problem 4, (20 points) An axial centric force of magnitude P 450 kN is applied to the composite block shown by means of a rigid end plate. Knowing that h -10 mm, determine: 1) the normal stress in (a) the brass core, (b) the aluminum plates. (10 pts.) 2) (a) the value of h if the portion of the load carried by the aluminum plates is half the portion...
Problem #1 A cylindrical rod of copper (E 110 GPa) having a yield strength of 240 MPa is to be subjected to a load of 6660 N. If the length of the rod is 380 mm, what must the diameter be to allow an elongation of 0.50 mm? A cylindrical specimen of some alloy 8 mm in diameter is stressed elastically in tension. A force of 15,700 N produces a reduction in the specimen diameter of 5 10-3 mm. Compute...
Assignment 01 TOT Mechanical Properties of Materials 1. A tensile test specimen has a gage length = 50 mm and its cross-sectional area = 100 mm. The specimen yields at 48,000 N, and the corresponding gage length - 50.23 mm. This is the 0.2 ent yield point. The maximum load of 87,000 N is reached at a gage length 64.2 mm. Determine (a) yield strength, (b) modulus of elasticity, and (c) tensile strength. (d) If fracture occurs at a gage...
Deformation and Fracture Mechanics
1. (Fracture toughness) (a) An AISI 4340 steel plate has a width W of 30 cm and has a central crack 2a of 3 mm. The plate is under a uniform stress, ?·This steel has a Kic value of 50 m2. Find the maximum stress for this crack length. (b) If the operating stress is 1500 MPa, compute the maximum crack size that the steel may have without failure. 2. (Plastic zone radius) The size of...
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