The normal strain in a suspended bar of material of varying cross section due to its own weight is given by the expression yy/3E where y= 2.2 lb/in.³ is the specific weight of the material, y = 5.0 in. is the distance from the free (i.e., bottom) end of the bar, L = 25 in. is the length of the bar, and E= 23000 ksi is a material constant. Determine, (a) the change in length of the bar due to its own weight. (b) the average normal strain over the length of the bar (c) the maximum normal strain in the bar. Answer: (a) ō = i (b) &ave ics = i x10.6 in. με US

The normal strain in a suspended bar of material of varying cross section due to its own weight is given by the expression yy/3E where y= 2.2 lb/in.³ is the specific weight of the material, y = 5.0 in. is the distance from the free (i.e., bottom) end of the bar, L = 25 in. is the length of the bar, and E= 23000 ksi is a material constant. Determine, (a) the change in length of the bar due to its own weight. (b) the average normal strain over the length of the bar (c) the maximum normal strain in the bar. Answer: (a) ō = i (b) &ave ics = i x10.6 in. με US

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: The normal strain in a suspended bar of material of varying cross section due to its own weight is…

A: Need to determine the change in length of the bar due to its own weight, average normal strain over…

Q: A picture is taken of a pole vaulter, and the minimum radius of curvature of the pole is estimated…

A: Solution.

Q: The cross-sectional area of the figure below is 0.5 in2. If E = 13 x 106 psi, calculate the total…

Q: A bar BD is held in a horizontal position when there is no load by the steel wire AB. When a weight…

A: The cross sectional area of wire is The modulus of elasticity is The yield strength is The…

Q: A rigid steel bar is supported by three rods, as shown. There is no strain in the rods before the…

A: (a) To Find : The normal strain in rod 1. Given : The length of rod 1 is L1=148 in The length of…

Q: Calculate the moment and axial load capacity of the circular column corresponding to the given…

Q: Rigid bar ABCD is supported by two bars. There is no strain in the vertical bars before load P is…

A: (a) To find: The normal strain in bar 1. Given: The dimensions are L1=1900 mm, L2=1425 mm, a=190 mm,…

Q: Two round rods, one of steel, the other of brass, are joined end to end. Each rod is 0.5 m long and…

A: Given that, Esteel=20×1010PaEbrass=10×1010Pa

Q: Same problem is considered here again using three equal length elements. Suppose that the strain…

Q: The state of plane strain on an element has components €z = -340(10 6), Ey = 0, and Yzy = 130(10 ®).…

Q: A solid steel rod is connected to an arm loaded by to forces, F-1 kN and F₂ -1.2 KN. A three-element…

A: Given Data: F1=1 kNF2=1.2 kNεa=60 μεεb=135 μεεc=264 μεθ1=0oθ2=60oθ3=120o To Find: The linear strain…

Q: 30 -1.5m A D 80KN 5m 80KN 1.5m 40μN

Q: A rectangular titanium plate has the following dimensions. a = 20 mm, b = 15 mm, and c=5 mm.…

Q: The block is subjected to a force V = 48 kN . What is the resulting deflection Δ?

A: Given information:d1 = 3 cmd2 = 3.7 cmd3 = 4 cmV=48 kN

Q: A rectangular metal slab has dimensions 4m, 2m and 1m in the xy and z directions respectively. The…

Q: A strain gage is mounted to the outer surface of a thin-walled boiler. The boiler has an inside…

Concept explainers

Strain energy

The term strain indicates the variation in an object's length, area, and volume when the object is subjected to an external force. The external force may be of normal, shear, moment, torque, etc. The strain in an object depends on the types of external force and cross-section of the object. Mathematically, the evaluation of strain can be obtained with the help of elastic constants.

Question

The normal strain in a suspended bar of material of varying cross section due to its own weight is given by the expression yy/3E wherey=
2.2 lb/in.³ is the specific weight of the material, y = 5.0 in. is the distance from the free (i.e., bottom) end of the bar, L = 25 in. is the length
of the bar, and E = 23000 ksi is a material constant. Determine,
(a) the change in length of the bar due to its own weight.
(b) the average normal strain over the length of the bar
(c) the maximum normal strain in the bar.
Answer:
(a) ō = i
(b) Eave
= i
(c) Emax =
i
x10-in.
με
με

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: Given data

VIEW

Step 2: Change in length calculation

VIEW

Step 3: Change in length calculation and strain calculation

VIEW

Step 4: Calculation of maximum strain

VIEW

Solution

VIEW

Step by step

Solved in 5 steps with 4 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

3.9 please help
A material is subjected to a pressure of 5 MPa. If the material has an elastic modulus of 80 GPa and a Poisson's ratio of 0.35, what is the volumetric strain? O 6.55E-3 O -5.63E-5 O 2.45E-6 O -8.32E-4
The stress-strain diagram for polyethylene, which is used to sheath coaxial cables, is determined from testing a specimen that has a gage length of 11 in. A load P on the specimen develops a strain of € = 0.024 in. /in. (Figure 1) Figure σ (ksi) 5 4 3 2 1 O = 3,7 e O 0.008 0.016 0.024 0.032 0.040 0.048 0.004 1 of 1 P € (in./in.) Part A Determine the approximate length of the specimen, measured between the gage points, when the load is removed. Assume the specimen recovers elastically. Express your answer in inches to four significant figures. 15] ΑΣΦ | 11 | vec L = Submit Provide Feedback Request Answer www ? Review in. Next >
2. The stress-strain behavior of a ductile cast iron of diameter 15.8mm and a gauge length of 60.80mm is shown below, 400 300 200 100 0.00 0.10 Strain Determine the following: (a) the modulus of elasticity (b) yield strength at a strain offset of 0.002. Stress (MPa)
After load P is applied to the pin-connected structure, a normal strain of = +650 µe is measured in the longitudinal direction of member (1). The cross-sectional area of member (1) is A₁ = 0.6 in.2, its elastic modulus is E₁ = 31000 ksi, and its yield strength is 33 ksi. Assume a=6.25 ft, b=7.75 ft, c=4.5 ft, and d=3.75 ft. (a) Determine the axial force in member (1), the applied load P, and the resultant force at pin B. (b) The ultimate shear strength of the steel pins is 52 ksi. Determine the minimum diameter for the pin at B if a factor of safety of 2.2 with respect to the ultimate shear strength is required. (c) Compute the factor of safety for member (1) with respect to its yield strength. (1) a D Answer: 0₁ = 1.6377 B (a) Determine the axial stress o, in member (1). ksi. b
The rigid beam is supported by a pin at A and wires BD and CE. Figure 3 m 2m 1 of 1 4 m ▾ Part A If the load P on the beam causes the end C to be displaced 8 mm downward, determine the normal strain developed in wire CE. (Figure 1) ECE = Submit ▾ Part B EBD = Submit V—| ΑΣΦ Determine the normal strain developed in wire BD. Provide Feedback Request Answer ΑΣΦ vec Request Answer vec SO ? ? mm/mm mm/mm Next >
Using the equations of strain in isotropic elasticity, find the stress tensor that cause the following strain state determined from an experiment (material has Young’s modulus of 190 GPa): ?? = 0.001 0.001 0 0.001 −0.002 0.0005 0 0.0005 0shear moduli is 70GPa.
6. Airplane components often have a “stressed skin" construction, which consists of a thin sheet of aluminum in tension connected to the structure with rivets (i.e. pins that go through circular holes). a. If the aluminum skin is subject to a far-field biaxial tension of σ = 100 MPa and has a yield strength of σ = 210 MPa, will the rivet cause the sheet to yield? b. What is the strain through the thickness (z-direction) at the top-most edge of the hole? What does this mean is happening to the plate at that point? c. If a crack of length a = 1 mm forms at the side of the hole, will the plate fracture? How about if the crack is a = 3 mm? Take the aluminum to have a fracture toughness of K₁c = 15 MPa√m, and take the geometric stress concentration factor to be Y = 1.12. 50 = a
Please answer in proper units
A pipe is subjected to a tension force of P = 70 kN. The pipe outside diameter is 32 mm, the wall thickness is 6.0 mm, and the elastic modulus is E = 180 GPa. Determine the normal strain in the pipe. P Select one: O a. 0.001263 mm/mm O b. 0.000535 mm/mm O c. 0.000568 mm/mm O d. 0.000794 mm/mm e. 0.001382 mm/mm O f. None
1) An airplane's weight change is determined by reading the strain gauge A mounted on the plane's aluminum wheel strut. Before the plane is loaded, the strain gauge reading in the strut is &₁ = 0.00100 in./in., whereas after loading &2 = 0.00243 in./in. Determine the change in the force on the strut if the cross-sectional area of the strut is 3.5 in². and E = 10(10³) Ksi. O
The rigid bar ABC pivots about support B. After application of load P, end C of the rigid bar moves upward by 0.07 in. If the length of bar (1) is L₁-41 in, determine the average normal strain in bar (1). Assume that a-135 in, b-39 in, and c-0.15 in a b C Rigid bar 4 Part 1 * Incorrect Determine the distance that end A of the rigid bar moves downward, if end C moves upward by 0.07 in Answer: in VA i 00361