b) The bar shown in Figure 5 is tested in universal testing machine. It is observed that at a load of 60 kN the total extension of the bar is 0.85 mm. Determine the Young's modulus of the material. (03) di = 35 mm d2 = 15 mm d3 = 45 mm P 350 mm 200 mm 150 mm

b) The bar shown in Figure 5 is tested in universal testing machine. It is observed that at a load of 60 kN the total extension of the bar is 0.85 mm. Determine the Young's modulus of the material. (03) di = 35 mm d2 = 15 mm d3 = 45 mm P 350 mm 200 mm 150 mm

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter11: Columns

Section: Chapter Questions

Problem 11.2.1P: A rigid bar of length L is supported by a linear elastic rotational spring with rotational stiffness...

See similar textbooks

Related questions

Q: A hollow cylindrical rod with a diameter of 100mm and a thickness of x tensile load of 12.5 kN. Find…

A: Given data:

Q: An arbitrary material has an elastic modulus of 118 GPa. How much tensile force was applied to a 100…

A: Given data:

Q: A brass rod 20 mm diameter was su jected to a tensile load of 40 kN. The extension of the rod was…

A: This question is related to the hook's law "it states that the stress generated in the bar is…

Q: At the proportional limit, a 18 mm thick x 82 mm wide bar elongates 7.1 mm under an axial load of…

Q: Question 1 In the strength of material, the section of the body involved is taken into…

A: 1) Given that an object is having a force which has a cross section area. Then by the definition -…

Q: . A cylindrical rod of steel (E = 207 GPa) having a yield strength of 310 MPa is to be subjected to…

Q: A circular rod is tested in tension to determine its material properties. When a load of P=12,000 Ib…

Q: Determine the total deformation of the steel rod shown in figure (1) under the given loads. Take the…

A: The loads in the different segments of the composite rod are,

Q: 8. A rigid bar AB is supported by three rods. A load P = 275 kN is applied to %3D the bar. The…

Q: What is the minimum load needed for a bar of chocolate to break if it has a thickness of 10mm, a…

A: Given, Thickness of bar,t=10mmLength of the bar,L=0.095mwidth of the bar,w=0.05mFlexural stress of…

Q: 4. Calculate the Youngs modulus for the materialL of the bar shown below, The bar has an initial…

Q: Question 4 ( For the specimen shown, what will be the maximum stress near the hole region (in ksi)?…

A: Given:w=2.49 int=0.25 ind=1 inN=3350 lb NOTE: According to Bartleyby's guidelines we can answer only…

Q: Select the appropriate Stress -Strain plot which is the most brittle from the following graph A A. A…

Q: length (lo)-2.0 in.): Load (lb)) 0.0 Al (in) 0.0 3000 0.00167 from a standard 0.505-in. 6000 7500…

Q: A cylindrical specimen of a steel alloy having a diameter of 12.8 mm and a gauge length of 50.8 mm…

A: Given dataFOS=2.5F=8230 NTo find the shank diameterof SQeW

Q: Revier The two bars shown in the figure below (Figure 1) are made of a material that has the…

Q: ylindrical rod of copper (E = 110 GPa) having a yield strength of 240 MPa is to be subjected to a…

A: Given Data⇒copper rodModulous of Elasticity(E)=110 GPaYield strength=240 MpaLoad(F)=6660NLength of…

Q: The % of error between a theoretical shear modulus of GPa and an experimental modulus of rigidity of…

A: Option d is correct.

Q: According to the maximum strain energy hypothesis, what should be the length L2 in order for the…

A: Given dataTransverse load F1 = 18kNAxial load F2 = 20kNLarger diameter D = 58mmSmaller diameter d =…

Q: 2. A mild steel rod 1 m long and 20 mm diameter is subjected to an axial pull of 62.5 kN. What is…

A: Given data: - The length of the steel rod is L = 1 m. The diameter of the rod is d = 20 mm. The…

Q: A circular aluminum alloy [E = 70 GPa; α = 22.5 × 10–6/°C; ν = 0.33] pipe has an outside diameter of…

Q: Determine the total deformation of the steel rod shown in figure (1) under the given loads. Take the…

Q: A rope 3.5 mm? breaks when a load of 50 kN is applied to it. Estimate the diameter of the same rope…

Q: A 8- in long steel has a cross-sectional area of 0.25 in². After a load of 5000 lb has been applied…

Q: At the proportional limit, a 22 mm thick 75 mm wide bar elongates 6.3 mm under an axial load of 482…

Q: A bar having a length of 125 mm and cross-sectional area of 467.5 mm² is subjected to an axial force…

Q: At the proportional limit, a 18 mm thick x 70 mm wide bar elongates 6.8 mm under an axial load of…

Q: A cast iron rod of diameter 18 mm and length of 240 mm is subjected to a tensile load of 100 kN, and…

A: As per the given data in question, the correct option is not available in options. Please find the…

Q: A tensile load of 190 kN is applied to a round metal bar with a diameter of 16 mm and a gage length…

Q: (Q.3) Ni cylindrical specimen having an elastic modulus of 207 GPa and an original diameter of 1.02…

Q: - Lo° do A solid cylindrical bar is subjected to tensile test. The initial diameter of the bar is 60…

A: Given: The initial diameter of the bar, d = 60 mm The change in the diameter of the bar, ∆d =…

Q: At the proportional limit, a 24 mm thick x 69 mm wide bar elongates 6.8 mm under an axial load of…

A: Given that , Elongation =6.8mmAxial load=453kN Length of bar l=1.8m Poison ratio=0.3

Q: An circular rod loaded with 30,000 lbs. The allowable tensile stress is 10,000 psi, modulus of…

Q: An aluminum specimen shown in Figure has a diameter of d0 = 25 mmand a gage length of L0 = 250 mm.…

A: Given Data Load, P=165000N Original diameter D0=0.025m original length L0=0.250m gauge length…

Q: 2-1. A standard steel specimen of Į in. dia- meter elongated 0.0087 in. in an 8 in. gage length when…

A: Given dataDiameter of the steel specimen d=0.5inElongation of the steel specimen e = 0.0087inGauge…

Q: At the proportional limit, a 18 mm thick 84 mm wide bar elongates 6.9 mm under an axial load of 495…

A: The change in width of the bar is -0.1242 mm.

Q: a 4.4 m long aluminum bar with a modulus of elasticity of 70 gpa is subjected to a tensile stress of…

A: Stress is defined as the intensity of force acting over a unit area. Normal strain is the ratio of…

Q: (a) A 25 mm diameter bar is subjected to an axial tensile load of 100KN. Under the action of this…

A: Given Data⇒Diameter of bar d=25 mmAxial tensile load F=100 KNGauge Length L=200 mmChange in length…

Q: Question Two A steel flat of thickness 10 mm tapers uniformly from 60 mm at one end to 40 mm at…

Q: A circular aluminum alloy [E = 70 GPa; α = 22.5 × 10–6/°C; ν = 0.33] pipe has an outside diameter of…

Q: Q2: A spacer is turned from Aluminum alloy with elasticity modulus of 78 GN/m². The spacer has a…

A: Given Data Modulus of spacer is : E=78 GN/m2=78000 N/mm2 Diameter of spacer is : d=28 mm Length of…

Q: modulus of elasticity equal to 200x103 MPa and coefficient of thermal expansion equal to…

Q: The bar shown in figure 1 is tested in the universal testing machine. It is observed that at a load…

A: P=40 kNTotal extension ∆δ=.285 mm

Q: 1 J A cylindrical specimen of steel having a diameter of 14.36 mm and length of 209 mm is deformed…

Q: A specimen of steel 20 mm diameter with a gauge length of 200 mm is tested to destruction. It has an…

Q: A tensile test for a copper specimen has been performed and the following data are obtained. -…

Q: 7. Consider a cylindrical specimen of a steel alloy (Figure 6.22) 10.0 mm (0.39 in.) in diameter and…

Q: C 300 kN 330 kN 30 mm t15 mm 20 mm +80 kN 250 mm- E150 mm e–200 mm

A: Given, d1 = 15 mm d2 = 30 mm d3 = 20 mm

Q: A cylindrical rod of copper (E = 110 GPa) having a yield strength of 240 MPa is to be subjected to…

Concept explainers

Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.

Question

Plz answer fast

b) The bar shown in Figure 5 is tested in universal testing machine. It is
observed that at a load of 60 kN the total extension of the bar is 0.85
mm. Determine the Young's modulus of the material.
(03)
di = 35 mm
d2 = 15 mm
d3
= 45 mm
350 mm
200 mm
150 mm
Figure 5

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 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, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

The rails of a railroad track are welded together at their ends (to form continuous rails and thus eliminate the clacking sound of the wheels) when the temperature is 60°F. What compressive stress ?? =6.5×10-6 /? is produced in the rails when they are heated by the sun to 120"F if the coefficient of thermal expansion a = the modulus of elasticity E = 30 × 106 psi?
A high-strength steel bar used in a large crane has a diameter d = 2.00 in. (sec figure). The steel has a modulus of elasticity E = 29 × 10 psi and Poisson’s ratio is v = 0.29. Because of clearance requirements, the diameter of the bar is limited to 2.001 in. when it is compressed by axial forces. What is the largest compressive load Pmaxthat is permitted?
A rigid bar of length L is supported by a linear elastic rotational spring with rotational stiffness ßRat A. Determine the critical load Pcr for the structure.
Two steel wines support a moveable overhead camera weighing W = 28 lb (see figure part a) used For close-up to viewing of field action at sporting, events. At some instant, wire I is at an angle a = 22° to the horizontal and wire 2 is at angle fi = 40°. Wires I and 2 have diameters of 30and 35 mils, respectively. (Wire diameters are often expressed in mils; one mil equals 0.001 in.) (a) Determine the tensile stresses s and s2 in the two wires. (b) If the stresses in wires 1 and 2 must be the same, what is the required diameter of wire 1 ? (c) To stabilize the camera for windy outdoor conditions, a third wire is added (see figure part b). Assume the three wires meet at a common point coordinates (0, 0. 0) above the camera at the instant shown in figure part b. Wire I is attached to a support at coordinates (75 ft, 48 ft, 70 Ft). Wire 2 is supported at (-70 ft. 55 ft, 80 Ft). Wire 3 is supported at (-10 ft. -85 Ft, 75 ft). Assume that all three wires have a diameter of 30 mils. Find the tensile stresses in all three wires
Rigid bar ACB is supported by an elastic circular strut DC having an outer diameter of 15 in. and inner diameter of 14.4 in. The strut is made of steel with a modulus elasticity of E = 29,000 ksi. Point load P = 5 kips is applied at B. Calculate the change in length of the circular strut DC. What is the vertical displacement of the rigid bar at point B?
A joint between two glass plates A and B is filled with a flexible epoxy that bonds securely to the glass. The height of the joint is/p = 0.5 in, its length is L = 30 in, and its thickness is/ = 0.5 in. Shear force of I' = 25 kips is applied to the joint. Calculate the displacement of the joint if the shear modulus of elasticity G of the epoxy is 100 ksi. Calculate the average shear strain in the epoxy.
Three round, copper alloy bars having the same length L but different shapes are shown, in the figure. The first bar has a diameter d over its entire length, the second has a diameter d over one-fifth of its length, and the third has a diameter d over one-fifteenth of its length. Elsewhere, the second and third bars have a diameter Id. All three bars are subjected to the same axial load P. Use the following numerical data: P = 1400 kN, L = 5m,d= 80 mm, E= 110 GPa. and v = 0.33. (a) Find the change in length of each bar. (b) Find the change in volume of each bar.
A prismatic bar of length L = 1.8 m and cross-sectional area A = 480 mm" is loaded by forces P{= 30 kN and A = 60 kN (see figure) The bar is constructed of magnesium alloy having a stress-strain curve described by the Ram berg-Osgood equation: 45.000 618 UW id which u has units of mega pascals (MPa). (a) Calculate the displacement 8t- of the end of the bar when the load P:acts alone. (b) Calculate the displacement when the load P, acts alone. (c) Calculate the displacement when both loads act simultaneously.
A symmetrical framework consisting of three pin-connected bars is loaded by a force P (see figure). The angle between the inclined bars and the horizontal is a = 52°. The axial strain in the middle bar is measured as 0.036. Determine the tensile stress in the outer bars if they are constructed of a copper alloy having the following stress-strain relationship:
An aluminum bar has length L = 6 ft and diameter d = 1.375 in. The stress-strain curse for the aluminum is shown in Fig. 1.34. The initial straight, line part of the curve has a slope (modulus of elasticity) of 10.6 × 106 psi. The bar is loaded by tensile forces P = 44.6 k and then unloaded. (a) That is the permanent set of the bar? (b) If the bar is reloaded. what is the proportional limit? hint: Use the concepts illustrated in Figs. l.39b and 1.40.
A steel pad supporting heavy machinery rests on Four short, hollow, cast iron piers (see figure). The ultimate strength of the cast iron in compression in 50 ksi. The outer diameter of the piers is d = 4.5 in, and the wall thickness is t = 0.40 in. Using a factor of safety of 3.5 with respect to the ultimate strength, determine the total load P that can be supported by the pad.
A wine of length L = 4 ft and diameter d = 0.125 in. is stretched by tensile forces P = 600 lb. The wire is made of a copper alloy having a stress-strain relationship that may be described mathematically by =18,0001+30000.03(=ksi) in which is nondimensional and has units of kips per square inch (ksi). (a) Construct a stress-strain diagram for the material. (bj Determine the elongation, of the wire due to the Forces P. (c) IF the forces are removed, what is the permanent set of the bar? (d) If the forces are applied again, what is the proportional limit?