P8.2 A copper wire of diameter d = 2 mm is coiled around a spool of radius r. The elastic modulus of the copper is E= 117 GPa and its yield strength is 310 MPa. Determine the minimum spool radius r that may be used if the bending stress in the wire is not to exceed the yield strength.

P8.2 A copper wire of diameter d = 2 mm is coiled around a spool of radius r. The elastic modulus of the copper is E= 117 GPa and its yield strength is 310 MPa. Determine the minimum spool radius r that may be used if the bending stress in the wire is not to exceed the yield strength.

Materials Science And Engineering Properties

1st Edition

ISBN:9781111988609

Author:Charles Gilmore

Publisher:Charles Gilmore

Chapter6: Introduction To Mechanical Properties

Section: Chapter Questions

Problem 6.3P: Compare the engineering and true secant elastic moduli for the natural rubber in Example Problem 6.2...

See similar textbooks

Related questions

Q: You first say that RA=57.1667. Then later in the problem you use the value 157.1667...what is the…

Q: For the cantilever beam shown below: wo = 20 kN/m, a = 2.5 m, El is constant throughout the beam…

Q: Determine the reactions of the given beam using slope deflection method. w = 25 kN/m and P = 45 kN P…

A: Determine the support reactions and moment-BC using slope-deflection method.

Q: A 10' 8 kips B 10' 0.25 kips/ft Draw a shear diagram C 10' 15 kips 15 k D 25 kip *ft (c) How many…

A: An overhanging beam with uniformly distributed load, two point loads and a moment acting at the free…

Q: In a horizontal 5-inch pipe (ID = 5 in.), water is being delivered at a stable discharge of 25…

Q: The column is reinforced with 10 32-mm bars distributed around the perimeter. Load Pn will be…

A: When the load acting on the column is offset from the centroid of the column, it causes bending of…

Q: 12. A 4 m tall, 1.2 m diameter barrel filled with hardened cement mortar is dropped across a 4 m…

Q: A centrifugal pump is to operate at 250 cfs, H₂ = 400 ft, Dp = 36 inches, N= 870 rpm. A model test…

A: Qp = 250 cfsHp = 400 ftDp = 36 in N = 870 rpm Qm = 5 cfs

Q: a) A 406x178x54-1 steel section is strengthened by welding a 177.6mm x 6mm plate to one flange as…

A: Note: “Since you have posted multiple questions, we will provide the solution only to the first…

Q: Problem 13.12 The 49-mm-diameter C86100 bronze rod is fixed supported at A and has a gap of 2 mm…

Q: parabolic sag curve has a length of 180m. The tangents are -2% and 4% respectively. Determine the…

A: A construction survey is used to determine or designate the ideal position of the engineer's…

Q: The components of all forces acting on member ABCD are: D= lb ↑ Bx= By= C= Ax= Ay= lb + lb ↓ lb ↓ lb…

Q: A sight is taken with an Engineer's Level at rod held 200 meters away and an initial reading of 2.3…

Q: H.W: A water tank, rectangular in cross section, has the dimensions 20x12m at the top and 6x10m at…

A: The diameter of the orifice, d = 5cmThe initial depth of water in the tank, H = 3mThe top surface,…

Q: A bent pipe is attached to a wall with brackets as shown. A force of F= 210 lb is applied to the end…

Q: 0 st 2024 Home Dashboard My courses 1 d out of elearn.just.edu.jo ? O Water flow through this pipe…

Q: Compute full-station elevations for an unequal- tangent vertical curve to fit the requirements…

A: Grade, Grade, Station at VPI, Elevation at VPI, To find: (a) Elevations from station…

Q: Q1// Use Manning's formula and employ Manning's coefficient (n) equals 0.016 to calculate the…

Q: It is required to pump water at the rate of 8.750 gpm from a reservoir whose surface is at an…

A: Q = 8.75 gpm or 0.019 cfs Z1 = 180 ft D1 = 30 inch or 2.5 ftD2 = 24 in or 2 ft

Q: Please

Q: - Draw the shear and moment diagrams for the beam soda de on smums140

Q: Determine the magnitudes of the pin reactions at A and D. Neglect

Q: Determine the reactions of the given beam using moment distribution method. w = 45 kN/m RA Numerical…

Q: Given a = 5 m, b = 11 m, F₁ = 114 N, F₂ = 319 N, and F3 = 217 N, determine the forces in members CD,…

Q: It is required to pump water at the rate of 8.750 gpm from a reservoir whose surface is at an…

A: Q = 8.75 gpm or 0.019 cfs Z1 = 180 ft D1 = 30 inch or 2.5 ftD2 = 24 in or 2 ft

Q: 1. Four legal components are required for construction contracts to be valid include 2. The…

A: We need to complete the given sentances relatd to construction contracts.

Q: Determine the initial depth and celerity of the positive surge waves.

A: To solve this problem, we can apply the conservation of mass and momentum equations to the surge…

Q: Using Mohr's circle, determine the orientation of principal centroidal axes and max, min moments of…

Q: 6.32 through 6.38 Determine the components of the forces acting on each member of the pin-connected…

A: To find: Forces in each member of the pin connected frame.

Q: Water is pumped at the rate of 2 cfs from a reservoir 20 ft above a pump to a free discharge 90 ft…

A: Q = 2 cfsKb = 1.2 Kentry = 0.5 D = 6 in or 0.5 ft L = 1500 ft L34 = 1400 ft

Q: The Peripheral overflow weir of a settling tank has 60 identical 90 degree V notch weirs, all set in…

Q: Water is drawn into the pump, such that the pressure at ne inlet A is -25 kPa and the pressure at B…

A: Given data :Pressure at point A and B is PA=-25kPA, PB=160kPaDischarge Q=0.08cumech=2m

Q: Environmental impact assessment (EIA) is designed to identify and predict the impact of an action or…

A: Here we have to discuss two activities related to Solid Waste Management (SWM) within the context of…

Q: Check the adequacy of column AB for applied live load. Fy= 350M

A: fy = 350 MPaCompression member:W 360 x 51A = 6450 mm2 rx = 148 mmry = 38.8 mmd = 355 mmb = 171 mmt =…

Q: Solve for the force CD in the cable system shown

A: Weight at joint C is 500lbWeight at joint B is 800lb

Q: A contractor excavates 10,000 m3 soil at moist unit weight of 17.5 kN/m3 and moisture content of 10%…

A: Given data,Volume=10000 m3moist unit weight of 17.5 kN/m3project has an area of 20,000…

Q: With a base schedule as shown below, what changes will occur if activity C can start after B is…

Q: For Probs. 18.1 to 18.6, using the virtual-work method, determine the deflection of each of the…

A: A truss is given we need to find out the vertical and horizontal deflection of U2.*Note: As per…

Q: Determine the reactions of the given beam using slope deflection method. P₁ = 25 kN, P₂ = 25 kN, and…

A: Given:Required:Reactions of the beam

Q: Consider the beam shown in (Eigure 1). Assume the supports at B and C are rollers and A is a pin. El…

A: Given:Required:MCB and MCDmoment diagram

Q: 8-57. The 2-in.-diameter rod is subjected to the loads shown. Determine the state of stress at point…

A: dia of rod D= 2 innecessary data taken from the figure

Q: The following table shows the productions and attractions used in the first iteration of a trip…

A: The following table shows the productions and attractions used in the first iteration of a trip…

Q: NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to rete…

Q: please answer all questions ,thanks ! (a)What are the different grades of steel? (b)What is the…

A: a. Different grades of steelb. main ingredient of Portland cementc. basic of steel

Q: 2. Construct a bar chart to use in managing the construction of a single span bridge. The identified…

A: Given data,Drive piling west abutment (WA), 2 daysDrive piling east abutment (EA), 2 daysConstruct…

Q: Please calculation all reactions on this beam and shear force and bending moment diagrams. Need…

Q: Commuters choose auto or bus for their trips. The utility function for each travel mode was…

A: Utility function, Values of auto, bus, rail are given.To find: (a) Mode splits of auto and…

Q: For the If the chemical composition of cement is as follows (CaO=60%, SiO2 =25.6%, Al203= 3.8%,…

A: Chemical composition of cement :

Q: Volume of measure, (ft³) Weight of measure (lb) Weight of measure + aggrega

Q: The water depth and discharge in a 3-m wide rectangular channel are 0.15 m and 2.25 m³/s. What is…

A: Rectangular channelWidth of the channel (B) = 3m Depth of flow (y1) = 0.15 m Discharge (Q) = 2.25…

Concept explainers

Material Properties

Construction in civil engineering demands high strength, durability, and longevity. These targets can be achieved by better design and analysis, along with the correct choice of materials. Different materials have different properties and hence, they respond and performs differently under the various condition of external loadings. It is therefore a critical task of an engineer to select the right material based on the property that the material is supposed to function in real-time. When speaking about the property, there are different categories of material properties like chemical property, physical property, mechanical property, electrical property, magnetic property, thermal property, etc. These material properties form the basis of material selection in various applications.

Question

Please just do problem 8.2

P8.2 A copper wire of diameter d = 2 mm is coiled around a spool of radius r. The elastic modulus of the copper is E = 117 GPa and its yield strength is 310 MPa. Determine the minimum spool
radius r that may be used if the bending stress in the wire is not to exceed the yield strength.
P8.3 The boards for a concrete form are to be bent into a circular shape having an inside radius of 10 m. What maximum thickness can be used for the boards if the normal stress is not to
exceed 7 MPa? Assume that the modulus of elasticity of the wood is 12 GPa.

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: step 1

VIEW

Step 2: step 2

VIEW

Solution

VIEW

Step by step

Solved in 3 steps with 1 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, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

Compare the engineering and true secant elastic moduli for the natural rubber in Example Problem 6.2 at an engineering strain of 6.0. Assume that the deformation is all elastic.
The results of a tensile test are shown in Table 1.5.2. The test was performed on a metal specimen with a circular cross section. The diameter was 3 8 inch and the gage length (The length over which the elongation is measured) was 2 inches. a. Use the data in Table 1.5.2 to produce a table of stress and strain values. b. Plot the stress-strain data and draw a best-fit curve. c. Compute the, modulus of elasticity from the initial slope of the curve. d. Estimate the yield stress.
PROBLEM 1) An aluminum bar carries the axial loads at the positions shown. If E=70GPA, compute the total deformation of the bar. Assume that the bar is suitably braced to prevent buckling. 0.4m D 10KN 0.8m 0.4m B 5KN 0.6m AL 20KN What is the deformation &pE in mm? A=800 mm² A=1,200 mm²
PROBLEM 1) An aluminum bar carries the axial loads at the positions shown. If E=70GPA, compute the total deformation of the bar. Assume that the bar is suitably braced to prevent buckling. 0.4m D 10KN. 0.8m 0.4m B 5KN 0.6m Al 20KN Q2 5) What is the deformation 8, in mm? A=800 mm? A=1,200 mm?
PROBLEM 1) An aluminum bar carries the axial loads at the positions shown. If E=70GPA, compute the total deformation of the bar. Assume that the bar is suitably braced to prevent buckling. 0.4m D 10KN 6) What is the deformation &c in mm? 0.8m 0.4m B 5KN 0.6m 20KN A=800 mm? A=1,200 mm²
The A-36 steel pipe in figure below has a 6061-T6 aluminum core. It is subjected to a tensile force of 200 kN. The pipe has an outer diameter of 91 mm and an inner diameter of 81 mm. For A-36 steel, Est= 200 GPa and for 6061-T6 aluminum, Eal= 68.9 GPa. Determine the average normal stress in aluminum and steel due to this loading.
PROBLEM 1) An aluminum bar carries the axial loads at the positions shown. If E=70GPA, compute the total deformation of the bar. Assume that the bar is suitably braced to prevent buckling. 0.4m D What is the axial stress o Ag in Pa? 10KN 0.8m 0.4m B 5KN 0.6m 20KN A=800 mm? A=1,200 mm²
An aluminum bar carries the axial loads at the positions shown. If E=70GPA, compute the total deformation of the bar. Assume that the bar is suitably braced to prevent buckling. 0.4m 10KN 0.8m 0.4m 5KN 0.6m What is the deformation 8Rc in mm? Al 20KN A=800 mm? A=1,200 mm²
A mild steel bar of square cross-section 40 mm x 40 mm is 400 mm long it is subjected to a longitudinal tensile stress of 440 N/mm² and lateral compressive stress is 200 N/mm² in perpendicular directions. E = 2 x 105 N/mm², μ = 0.3. What is the approximate elongation of the bar in the longitudinal direction?
QUESTION 3 The assembly consists of three steel rods and a horizontal bar BED. The structure supports a 36 kN load P located at middle of bar BED. Each of the rod AB and CD has a cross-sectional area of 200 mm² and rod EF has a 625 mm². Modulus of elasticity for steel is 200 GPa. Determine: (a) The change in length of rod EF. (b) The stress in each rod. 500 mm 400 mm
The wooden beam shown is made by gluing together planks as shown. 8 kN/m Glue 80 mm A B 80 mm - NA 6 m 80 mm 160 mm Determine the maximum shear stress in the glue in kPa. (2 decimals)
A steel bar, whose cross section is 0.60 inch by 4.10 inches, was tested in tension. An axial load of P = 31,025 lb. produced a deformation of 0.115 inch over a gauge length of 2.10 inches and a decrease of 0.0080 inch in the 0.60-inch thickness of the bar. a. Determine the lateral strain. b. Determine the axial strain. c. Determine the Poisson’s ratio v. d. Determine the decrease in the 4.05-in. cross-sectional dimension (in inches).