Question 53 What is the elongation of the aluminum bar with a dimension of 25 mm by 25 mm and length of 1m when compressed to its yield point? Note E = 70 GPa and yield stress of 45 MPa. Neglect the weight of the bar. O 0.429 mm O 0.643 mm O - 0.429 mm O - 0.643 mm

Question 53 What is the elongation of the aluminum bar with a dimension of 25 mm by 25 mm and length of 1m when compressed to its yield point? Note E = 70 GPa and yield stress of 45 MPa. Neglect the weight of the bar. O 0.429 mm O 0.643 mm O - 0.429 mm O - 0.643 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

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.5.1P: The rails of a railroad track are welded together at their ends (to form continuous rails and thus...

See similar textbooks

Related questions

Q: (CLO 1, 2)Determine the stress in the Aluminum rod (Psi) after the load 68 (kips) is applied. The…

A: Objective: To determine the stress in aluminium rod.

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

Q: Identify the material that has maximum stiffness value from the following stress-strain curves. B…

Q: A steel wire is 10 meters long, hanging vertically supports a tensile load of 2000 N. Determine the…

A: Write the given data. L=10 mP=2000 Nσmax=140 MPaδ=5 mmE=200 GPa

Q: A gap of 0.02 in. exists between the composite rod and the wall when the temperature is 75°F. NOTE:…

A: Given data: ◆ The properties of an aluminum: Thermal Expansion coefficient: αAl = 12.9 × 10-6 /°F…

Q: The bar shown is subjected to a tensile load of 160KN. If the stress in the middle portion is…

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

A: Answer: The average shear strain in nylon due to load P is 0.1974 rad ( 11.3099°).

Q: A tensile stress is to be applied along the axis of a cylindrical brass rod that has a diameter of…

A: given; diameter (d)=10mmchange in diameter (δd)=2.5*10-3mmelasticity(E)=10.1*104MPapoisson's…

Q: A short post constructed from a hollow circular tube of aluminum supports a compressive load of 54…

Q: 09:A tensile stress is to be applied along the long axis of a cylindrical brass rod that has…

Q: A heavy uniform rod of length 'L' and material density '8' is hung vertically with its top end…

A: Given dataLength =Lmaterial density=δNeed to determine total elongation of the bar dew to itsown…

Q: Q1\ A copper bar consists from three sections: sections 1 is of 25 mm diameter and 60 mm long,…

Q: A bar of 24-mm diameter and 400-mm length is acted upon by an axial load of 38 kN. The elongation of…

Q: 1: An aluminum alloy (E = 70 GPa) bar of circular cross section consists of uniform and pered…

Q: O crcular rod with a crass- section o4 100 mm is subjected to an axial compreseire force af 7okN.…

A: Answer: 1. The axial strain on the rod length is : -0.07 2. Lateral strain : 0.0231 3. The original…

Q: Question-2: A solid 20-mm-diameter shaft is subjected to an axial load P. The shaft is made of…

A: The lateral strain is the ratio of the wire's longitudinal diameter change to its lateral diameter…

Q: Required information The aluminum shell is fully bonded to the brass core, and the assembly is…

A: Given data: Ti=78°FTf=185°FEBr=16×106 psiαBr=11.6×10-6/°FEAl=10.6×106 psiαAl=12.9×10-6/°F Need to…

Q: 1. A square bar of aluminum 40 mm on a side and 220 mm long is loaded by axial tensile forces at the…

A: Given Data: The side of the square bar is, a=40 mm. The length of the square bar is, l=220 mm. The…

Q: A uniform bar 1 is connected to a tapered rod 2. Both are subjected to axial loads as shown. If P =…

Q: 5 mm 20 mm 5 mm PROBLEM 2.33 An axial force of 60 kN is applied to the assembly shown by means of…

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

Q: Question 1: [Strain Energy Due to Direct Stresses] A steel bar of a length, diameter and Young's…

Q: PLEASE WRITE YOUR COMPLETE SOLUTION AND BOX THE FINAL ANSWER. THANK YOU. Determine the normal…

A: Given data: δ=0.5 mmTi=27°CTf=126°C Need to determine the normal stress and change in length of the…

Q: (1) A tensile stress is to be applied along the long axis of a cylindrical brass rod that has a…

A: Solution of problem-1: The data given is,

Q: Question 1: [Strain Energy Due to Direct Stresses] A steel bar of a length, diameter and Young's…

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

Q: A gap of 0.02 in. exists between the composite rod and the wall when the temperature is 75°F. NOTE:…

A: GIVEN DATA NORMAL STRESS IN ALUMINIUM ROD -15psi WE HAVE TO FIND THE TEMPERATURE AT WHICH THESE…

Q: The 10-mm-diameter steel bolt is surrounded by a bronze sleeve in (Figure 1). The outer diameter of…

A: Given:Diameter of steel bolt, ds=10 mmouter diameter of sleeve, D=20 mmyield stress for the steel,…

Q: Question 3 Determine the elongation of the square hollow bar when it is subjected to the axial force…

A: Given Data: The load on the bar is P = 100 kN. The outer dimensions of the square cross-section is…

Q: A tensile stress is to be applied along the long axis of a cylindrical rod that has a diameter of 20…

Q: The original length of piece metal is 300 mm this piece is Pulled in tension with stress 280 MPa. If…

A: Given data : Elastic modulus=EOriginal length=LStress=σTo find :Total elongation

Q: Question 1: [Strain Energy Due to Direct Stresses] A steel bar of a length, diameter and Young’s…

Q: A bar is having a cross-sectional area of 700mm2, is subjected to axial loads at the position…

Q: The link shown, made of AISI C1045 steel, as rolled, is subjected to a tensile load of 8000 Ib. Let…

A: The material given is AISI C1045 steel. The tensile load is F=8000 lb. The properties of material…

Q: Question 5: The following 0.8" diameter steel bar has three loads applied, as shown. Assuming that…

A: Find the stress at point A,B and C and total elongation of the bar.

Q: 4. Nylon strips are fused to glass plates. When moderately heated the nylon will become soft while…

A: Given Data The width of the nylon strip is: w=5 mm The ditance from the edge is: 2 mm The force…

Q: 5. What is most nearly the lateral strain, en of the steel specimen shown if F,= 3000 kN, E=193 GPa,…

A: Given data : Load in X direction (FX)=3000 KNModulus of elasticity (E)=193 GPaPoissons ratio…

Q: Due to a fabrication error, the inner circle of the tube is eccentric with respect to the outer…

A: The expression for the average stress of the outer circle is,…

Q: Question 1: [Strain Energy Due to Direct Stresses] A steel bar of a length, diameter and Young's…

Q: PROBLEM NO. 4 In Fig. 4, determine the normal stress and change in length of the aluminum rod if the…

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

Q: (2.2) The specimen shown has been cut from a 5-mm-thick sheet of vinyl (E = 3.10 GPa) and is…

A: Given data: The thickness of the sheet is t=5 mm The modulus of elasticity is E=2.10 GPa=3.1×103 MPa…

Q: The 10-mm-diameter steel bolt in (Figure 1) is surrounded by a bronze sleeve. The outer diameter of…

Q: 2. An aluminum alloy (E = 75 GPa) tube A is used to support a 30 mm diameter steel (E 210 GPa) rod…

A: Draw the FBD of the diagram as shown below.

Q: A 10-mm diameter steel bolt is surrounded by bronze sleeve. The outer diameter of the bronze sleeve…

Q: An 80-m-long wire of 5-mm diameter is made of a steel with E = 200 GPa and an ultimate tensile…

A: Given that: L = length of the wire = 80 m = 80000 mm d = Diameter of the wire = 5 mm E = 2 GPa…

Q: Refer to the set of bars made of a material with a yield strength of 350 MPa, determine the minimum…

Q: If a 50 kN load is applied on steel rod of cross-section area 400 mm?, the normal stress will be…

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

Concept explainers

Conduction and Convection

When energy travels from one object to another it is said to have undergone heat transfer. Heat transfer is nothing but the transfer of thermal energy or internal energy from one thing to another, like e.g., when a vessel with water, kept on top of a burner, heats up because of the flame underneath it.

Question

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 by step

Solved in 2 steps with 2 images

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

An axial load of 100 kN is applied to a flat bar 20 mm thick, tapering in width from 120 mm to 40 mm in a length 0f 10 m. Assuming E=200 GPa, determine the total elongation of the bar.
The 10-mm-diameter steel bolt is surrounded by a bronze sleeve in (Figure 1). The outer diameter of this sleeve is 20 mm, and its inner diameter is 10 mm. If the yield stress for the steel is (σY)st=680MPa, and for the bronze (σY)br=490MPa, determine the magnitude of the largest elastic load P that can be applied to the assembly. Est=200GPa, Ebr=100GPa. Express your answer to three significant figures and include appropriate units.
During a test, a steel specimen alloy{ E =207GPa } by having a diameter of 10.6 mm is applied with a tensile load of 8700 N. Given a maximum allowable elongation of 0.5 mm, determine the maximum length (mm) of the specimen before deformation
During a test, a tungsten specimen alloy{ E =407GPa } by having a diameter of 10.5 mm is applied with a tensile load of 8000 N. Given a maximum allowable elongation of 0.4 mm, determine the maximum length (mm) of the specimen before deformation.
See the set of bars for made of a material that has a yield strength of 350 MPa, determine the minimum h1 and h2 dimensions required. Apply a safety factor F.S. = 1.5 without flow. Each bar is 12 mm thick
13. An airplane’s landing gear must be capable of supporting ⅓ of its weight at 200000 kg. To induce safety, the landing gear must be able to support twice its maximum load. Determine the minimum cross-sectional are (mm2) of the landing gear if it is made of a heat-treated steel having a yield strength of 860 mpa and a tensile strength of 900 mpa.
What is the tensile strength of the bar if the yield stress is equal to 275MPa?
A steel [E=200 GPa] rod with a circular cross section is 10 m long. Determine the minimum diameter required if the rod must transmit a tensile force of 260 kN without exceeding an allowable stress of 240 MPa or stretching more than 10 mm.
The assembly shown consists of an aluminum shell (E = 70 GPa, a0 = 23.6 x 10/°C) fully bonded to a steel core (E, = 200 GPa, a1 = 11.7 x 10/°C) and the assembly is unstressed at a temperature of 20°C. Considering only axial deformations, determine the stress in the aluminum when the temperature reaches 180°C.
6 cans containing soda made out of aluminum ( E = 69 GPa, σY = 240 MPa ) material are shaken. Shaking them creates an internal pressure of 0.14 MPa in each can. A uniform load of W is applied to the cans through a plate which has a negligible weight. The inner diameter of each can is 2R = 62 mm, the wall thickness is t = 0.25 mm and the length is L = 112 mm. According to the von - Mises yield criterion, determine the maximum magnitude of the applied load W. Note: The weight of the cans will be neglected in calculations. Accept that the liquid in the cans does not provide any support to the cans and no buckling occurs in the cans.
A large water tank that has a capacity to carry 20,000 liters is to be supported by four cylindrical posts. These four support posts are made of plain carbon (1045) steels with the yield and tensile strengths of 310 MPa and 565 MPa, respectively. Determine the minimum required diameter of the post assuming a factor of safety of 5.
A bar made of carbon-steel of size 12mm x 20mm has a yield stress of 400 MPa and ultimate tensile strength of550 MPa. Tha gauge length of the specimen tested under tension loading is 350mm. a. Determine its elongation when a tension load of 75 KN is applied. b. Determine the maximum load the bar can take before it fractures. Take Youngs Modulus of steel as 200,000 MPa