A cylindrical specimen of a titanium alloy having original diameter of 2.96 mm experiences elastic deformation when a tensile load of 2500 N is applied. Compute the maximum length of the specimen before deformation if the maximum allowable elongation is 0.43 mm. Note: Etitanium = 107 GPa.

A cylindrical specimen of a titanium alloy having original diameter of 2.96 mm experiences elastic deformation when a tensile load of 2500 N is applied. Compute the maximum length of the specimen before deformation if the maximum allowable elongation is 0.43 mm. Note: Etitanium = 107 GPa.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter14: Static Equilibrium, Elasticity, And Fracture

Section: Chapter Questions

Problem 43PQ: A nanotube with a Youngs modulus of 1.000 1012 Pa is subjected to a stress of 3.14 1011 Pa by...

See similar textbooks

Related questions

Q: H An aluminum rod AB of diameter 4.7 inches is connected to a lever of length L = 5.7 feet. Consider…

Q: A metal rod that is 12.0 m long and 0.74 cm2 in cross-sectional area is found to stretch 0.27 cm…

Q: A brass rod 5ft long with a square cross section 0.5 inch on a side is used to support a 520-lb load…

A: B=F/AL'/L=FLL'AL'=FLBA F is the load L is the original length B is the bulk modulus A is the cross…

Q: A column 600 mm in diameter is reinforced with 8-25mme bars and 12 mm spirals spaced at 100 mm on…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: A specimen of oil having an initial volume of 600cm3 is subjected to a pressure increase of 3.6 x…

Q: A stainless steel tube with an outside diameter of 46 mm and a wall thickness of 5 mm is used as a…

Q: A cube with original edges of L=3.5 cm long is made of material with a bulk modulus of 8.8*10^9…

Q: Give answers in scientific notation. A sphere of copper is subjected to 120 MPa of pressure. The…

Q: A steel bar is stresses to 250 MPa. The modulus of elasticity is 250 GPa. The bar is 80 mm diameter…

Q: 7). is related to the change pressure divided by the change in length of the sample. (a) Poisson's…

Q: Nylon strips are fused to glass plates. When moderately heated the nylon will become soft while the…

A: Given data: Observe from the diagram, Total displacement of layers D = 2 mm Height of stripe L = 5…

Q: A solid cylindrical rod BC of length L = 600 mm and radius r = 12 mm is attached to the rigid lever…

A: Given Diflection of a is 10mm AB is 300 mm Angle = 10/300 = 0.033 rad. G = 70 GPa T = FdL = 700 N*…

Q: Find the modulus of elasticity of a cast iron rod of diameter 20 mm and length 250 mm subjected to a…

A: Diameter of rod = 20 mm So, radius, r = 10 mm = 10-2 m Length of rod, L = 250 mm = 0.25 m Tensile…

Q: Calculate the volumetric change in a copper cube of side length (40mm) when subjected to a pressure…

A: Length of the copper cube is L = 40 mm = 40×10-3 m Pressure applied, P=20 MPa = 20×106 Pa Modulus of…

Q: A body of mass 500 kg is suspended at the free end of an iron wire of length 3 m and cross-sectional…

Q: Compute the decrease in volume of 2.5 x 104 m³, of mercury when subjected to a pressure of 20 x 105…

A: Formula for bulk modulus can be written as, K = -PV∆V ----> Change in…

Q: The table below shows ultimate tensile strengths (Fu ) and Young's moduli (Y) for tungsten (W) and…

Q: Artificial diamonds can be made by putting carbon in high-pressure high-temperature presses. Suppose…

A: Given:pressure = 6 GPa.Bulk modulus = 194 GPaVolume,v=1ccwhen you realease the pressure bring it…

Q: If the Junk modulus of Y is 160GPA and the shear modulus of elasticity is 0.25Y, what is the value…

Q: Find modulus of elasticity of a brass rod of length 200 mm which is subjected to a tensile stress of…

A: Given :- length of rod = 200 mm stress = 275 MPa extension of rod =0.55mm therefore strain =…

Q: Comic-book superheroes are sometimes able to punch holes through steel walls. (a) If the ultimate…

Q: A cubic industrial material whose one side is of length 2.0 cm has a bulk modulus of 4.7 x 10^5…

Q: A copper wire of length 2.2m and a steel wire of length 1.6m both of diameter 3.0mm, are connected…

Q: A specimen of oil having an initial volume of 600 cm3 is subjected to a pressure increase of 3.6 *…

A: Given, Initial volume, V0=600 cm3, pressure increase, ∆P=3.6×106 Pa, and volume decrease, ∆V=0.45…

Q: 2.47 The rigid block of mass M is supported by the three symmetrically placed rods. The ends of the…

Q: A support beam is made of steel that has a Young's Modulus of 200 gigapascals [GPa\. The support…

Q: A copper wire of length 2.2 m and a steel wire of length 1.6 m, both ofdiameter 3.0 mm, are…

A: Given:

Q: A specimen of a 4340 steel alloy with a plane strain fracture toughness of 54.8 MPa is exposed to a…

A: Given:Fracture toughness,KIC=54.8 MpaParameter,Y=1.734 surface crack,a=0.4534 mm=0.4534×10-3…

Q: The pressure at a depth of 1.0 km in the Pacific Ocean exceeds by 10 mega Pascal. If a metallic…

A: Pressure difference (∆P) = 106 Pascals Volume of metallic alloy (V) = 385 cm3= 3.85×10-4 m3Bulk's…

Q: Given a steel with an ultimate Stress of 90 ksi, and an endurance limit(Se) of 45 ksi calculate the…

A: Given: Sut=90 ksi &Se=45 ksi f at Sut 90ksi=0.86 (from graph)

Q: d) A cylindrical rod 100 mm long and having a diameter of 10 mm is to be defomed using a tensile…

A: According to the following question, this question ask us that, we have to examine the four alloys…

Q: 213. The rigid bar AB, attached to two vertical rods as shown in the figure, is horizontal before…

Q: Problem 6: For a square column load cell, determine the voltage output for an applied load of 4000…

A: Output voltage for an applied load is 3.248 mV. The hand written solution has been attached in step…

Q: 3. A steel beam is placed vertically in the basement of a building to keep the floor above from…

Q: 1. A polycrystalline cylindrical rod 120 mm long and having a diameter of 10 mm is to be deformed…

A: Given data: The length of rod is l=120 mm. The diameter of rod is d=10 mm. Tensile force in rod is…

Q: Find the elongation of a rod made of aluminum and copper under a tension of 5.8×103 N. The…

A: Given information: Here, R is the radius of the rod, T is the tension, LAl and LCu are the length…

Q: The ratio of the tensile (or compressive) strength to the density of a material is a measure of how…

A: Given that: The ratio of the tensile (or compressive) strength to the density of a material is a…

Q: hanging wire made of an alloy of aluminum with diameter 0.05 cm is initially 3.0 m long. When a 7 kg…

A: Given :- The diameter d = 0.05 cm initial length L = 3.0 m The hanging wire mass m = 7 kg The…

Q: Given is a thin-walled tube with the following data: Wall thickness- 3mm Torque is 900 N.m Length of…

Concept explainers

Mechanical Properties of Solids

There are three types of matter- solid, liquid and gas. Out of them, solids have a rigid shaped and size. The intermolecular forces of attractions in solids are greatest. Mechanical properties are the physical properties of a material which it shows, when it is provided with certain amount of force or load. These properties are to be kept in mind for various purposes. When a force is applied to an object, the object may or may not get deformed depending upon its elastic property. But every time the object develops a restoring force against the force applied. This is commonly known as stress. If the object changes its dimensions due to the force applied it develops strain ( which is the ratio of change in dimension to the original dimension).

Question

3. A cylindrical specimen of a titanium alloy having original diameter of 2.96 mm experiences elastic
deformation when a tensile load of 2500N is applied. Compute the maximum length of the specimen
before deformation if the maximum allowable elongation is 0.43 mm. Note: Etitanium = 107 GPa.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1 To determine,

VIEW

Step 2 solution and explanation,

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

A nanotube with a Youngs modulus of 1.000 1012 Pa is subjected to a stress of 3.14 1011 Pa by being pulled at its ends. Assuming the tube had an initial length of 8.12 106 m, what is the new length of the nanotube?
1. (a) (b) (c) Explain the difference between Griffith and Irwin's approach to determine the critical stress in cracks for fast fracture in engineering materials. Why are dislocations necessary for explaining the plasticity typically seen for crystalline materials? A thin sheet of aluminium alloy of width 200mm and 200 mm long with an internal crack of 80mm is subjected to an applied stress of 130MPa perpendicular to the crack plane. Apply Irwin's Approach for plasticity correction to find the plastic zone size of the crack tip, and hence find the stress intensity factor at the crack tip (for 2 iterations). The yield strength of aluminium alloy is 380MPa. The stress intensity factor K₁ is given by K₁=Y σ (na)¹/² where a is the crack length and is the applied stress. Note that the geometric correction factor graph and the relevant equations are provided in the Appendix.
QUESTION 11 A specimen of a 4340 steel alloy with a plane strain fracture toughness of 54.8 MPa/m (50 ksi/in ) is exposed to a stress of 1077 MPa (156200 psi). Assume that the parameter Y has a value of 1.06. If the largest internal crack is 1.8 mm (0.0709 in.) long, Will this specimen experience fracture? Attach File Browse My Computer Browse Content Collection
For a specimen of a steel alloy with a plane strain fracture toughness of 80 MPavm, fracture results at a stress of 510 MPa when the maximum (or critical) internal crack length is 6 mm. For the same alloy, will fracture occur at a stress level of 380 MPa when the maximum internal crack is 9.0 mm? Why or why not? Select the most appropriate answer based on your calculation. Select one: a. Not enough information b. It will fracture C. It will not fracture
A specimen of a 4340 steel alloy with a plane strain fracture toughness of 54.8 MPa is exposed to a stress of 1653 MPa. Assume that the parameter Y has a value of 1.734. If the largest surface crack is 0.4534 mm long, determine the critical stress .
A Ti-6AI-2Sn-4Zr-6Mo titanium alloy subjected to a stress of 20 ksi. How long can the alloy be used under this stress at 932 deg. F so that no more than 0.2% creep strain will occur. 1000 Ti-6AI-4V Ti-6Al-2Sn-4Z1-6Mo Ti-6A1-2S-4Z1-6Mo-Si IMI 829 ---- IMI 834 - Alpha 2 (Ti3AI) General Gamma (TIAI) General ---- INCONEL 718 2 100 O IMI 829 ROC A T-25AI-10Nb-3V-1Mo TI3AI ROC 28 30 32 34 36 38 40 Larsen-Miller parameter, P = (460'F + T°F)[20 + log 1 (h)] × 10~3 Stress (ksi) 10
5) Determine and select the steel required for both directions (bending and transverse) of a one- way solid slab that is 9 in. thick with a factored design moment of 16 k-ft for a 1 ft wide strip; f! = 4 ksi, fy = 50 ksi, d = 8.25 in. Limit the bars to #8 or smaller and observe the maximum spacing limits. (The moment capacity does not need to be determined.)
i In. V:Y homewo... > Homework Ql: A specimen made from Titanium with diameter 4 mm subjected to force of 2500 N. The specimen extended by 0.422 mm. If the young modulus is 107 GPa. Find the gauge length of specimen. Q2: A road of stainless steel subjected to a tensile test, and the following result were obtained. Yield load = 175 KN and extension = 0.33 mm Max, Joad = 315 KN and max. extension 7.4 mm Original dia. = 16 mm and breaking dia. = 12.4 mm Original length = 80 mm Find: 1-Max. tensile strength 2-Young modulus 3-Percentage of elongation 4- Percentage of reduction in area II >
An aluminium plate 0.5 cm thick is to withstand a force of 50,000 N with no permanent deformation.If the aluminium has a yield strength of 125 MPa .What is the minimum width of the plate?
. A copper wire LM is fused at one end, M to an iron wire MN as shown in figure below. L M N F The copper wire has length 0.90 m and cross-section area 0.90 x10-6 m². The iron wire has length 1.40 m and cross-section area 1.30 x10-6 m2. The compound wire is stretched and the total length increases by 0.01 m. Given Yiron = 2.10 x1011 Pa and Give Ycopper = 1.30 x1011 Pa. Determine %3D %3! a. the ratio of the extension of copper wire to the extension of iron wire,
3. A copper wire LM is fused at one end, M to an iron wire MN as shown in figure below. M N F The copper wire has length 0.90 m and cross-section area 0.90 x10-6 m². The iron wire has length 1.40 m and cross-section area 1.30 x10-6 m². The compound wire is stretched and the total length increases by 0.01 m. Given Yıron = 2.10 ×1011 Pa and Give Ycopper = 1.30 ×1011 Pa. Determine a. the ratio of the extension of copper wire to the extension of iron wire, b. the extension of each wire, and c. the applied force to the compound wire. [1.5, 4.0 mm, 6.0 mm, 780 N]
Q5. A specimen having a square cross section of dimensions 4 mm × 4 mm is to be subjected to a tensile load. Ifthe specimen is to experience neither plastic deformation nor an elongation of more than 3 mm when the applied load is 500000 N which of the two metal Copper. E= 35 x 10° pa www Silver E= 150 x 10°pa Aare possible candidates? Justify your choice(s)?