The normal strain in a suspended bar of material of varying cross section due to its own weight is given by the expression vy/3E where y = 2.4 lb/in.³ is the specific weight of the material, y = 3.8 in. is the distance from the free (i.e., bottom) end of the bar, L = 19 in. is the length of the bar, and E = 24000 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 L of the bar. (c) the maximum normal strain in the bar.

The normal strain in a suspended bar of material of varying cross section due to its own weight is given by the expression vy/3E where y = 2.4 lb/in.³ is the specific weight of the material, y = 3.8 in. is the distance from the free (i.e., bottom) end of the bar, L = 19 in. is the length of the bar, and E = 24000 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 L of the bar. (c) the maximum normal strain in the bar.

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

A: Solution.

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

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

Q: II Review The state of strain at the point has components of e, = 230 (10 6), e, = -240 (10 6), and…

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

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

A: Given Data Strain energy of element 1 ( U1) = 0.07 N.m Strain energy of element 2 ( U2) = 0.17 N.m…

Q: Problem 3-9: Acetal plastic has a stress-strain diagram as shown. If a bar of this material has a…

Q: A material is subjected to a pressure of 5 MPa. If the material has an elastic modulus of 80 GPa and…

Q: After load P is applied to the pin-connected structure, a normal strain of = +650 μe is measured in…

Q: For the state of a plane strain with Ex, Ey and yxy components: (a) construct Mohr's circle and (b)…

A: εx = 250 × 10-6εy =310 x 10-6Yxy = -100 × 10-6

Q: 1.40 Given a major principal strain of 600u and strain invariants /, = 400µ and /, = - 4800µ, find…

A: Solution: Given Data: σ1=600μI1=400μI2=-4800μ

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 vy/3E where
y = 2.4 lb/in.³ is the specific weight of the material, y = 3.8 in. is the distance from the free (i.e., bottom) end of the bar, L = 19 in. is the
length of the bar, and E= 24000 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 L of the bar.
(c) the maximum normal strain in the bar.
Part 1
Calculate the change in length of the bar due to its own weight.
Answer:
d = i
x10-6 in.

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

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 5 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

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 = 2.4 lb/in.³ is the specific weight of the material, y = 1.8 in. is the distance from the free (i.e., bottom) end of the bar, L = 9 in. is the length of the bar, and E= 26000 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 L of the bar. (c) the maximum normal strain in the bar. Calculate the change in length of the bar due to its own weight. Answer: x10-6 in.
This course EHide blocks If a rubber material is deformed as shown in the following figure, determine the normal strain along diagonal AC. C 1 mm 2 mm 10 mm A В 10 mm Select one: O 0.0793 O 0.1402 O 0.1281 0.0382 9:15 PM EN 4/15/2021
QUESTION 2 The rigid bar ACE is supported by two steel rods AB and CD (Esteel = 200 GPa) with the cross sectional areas of each rod is given as shown in Figure Q2. (a) Determine the position d of the 30 kN load so that the average normal stress in each rod is the same. (b) Find the strain in rod CD, ɛcD (c) Determine the horizontal displacement of point E 1.2 m ACD = 600 mm? 0.8 m E 30 kN AAB = 900 mm2 d B 1.8 m Figure Q2
When an axial load is applied to the ends of the bar shown in the figure, the total elongation of the bar between joints A and C is 0.17 in. In segment (2), the normal strain is measured as 1,450 uin./in. Assume L₁ - 45 in. and L₂ - 94 in. Determine (a) the elongation of segment (2). (b) the normal strain in segment (1) of the bar. P A Answers: L₁ (a) in.₂ = i (b) £₁ = i B (2) L2 in. uin./in.
Question 14 Determine the total strain (mm/mm) of a 2.58-m bar with a diameter of 23 mm subjected to a tensile force of 96 kN at a temperature increase of 60 C°. Consider the a=22.4 µm/mC° and E = 139 GPa. Express your answer to 5 decimal places.
Rigid bar ABCD is loaded and supported as shown. Steel [E = 30800 ksi] bars (1) and (2) are unstressed before the load P is applied. Bar (1) has a cross-sectional area of 0.78 in.2 and bar (2) has a cross-sectional area of 0.32 in.2. After load P is applied, the strain in bar (1) is found to be 610 μεμε. Assume L1=50 in., L2=76 in., a=28 in., b=21 in., and c=22 in. Determine:(a) the stresses in bars (1) and (2).(b) the vertical deflection vD of point D on the rigid bar.(c) the load P.
A rosette consisting of 3 gages forming, respectively, angles of θa, θb and θc with the x-axis is attached to the free surface of machine components made of material with a given Poisson’s ratio v and Modulus of elasticity E as shown in Fig. 6. Take note that strain values given above are the gage readings and not principal strains. PLEASE ANSWER I,G,H
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
5 decimal places Determine the total strain (mm/mm) of a 2.64-m bar with a diameter of 21 mm subjected to a tensile force of 71 kN at a temperature increase of 49 C°. Consider the α=27.3 µm/mC° and E = 122 GPa.
A rigid steel bar is supported by three rods as shown. There is no strain in the rods before the load P is applied. After load P is applied, the normal strain in rods (1) is 4150 μm/m. Assume initial rod lengths of L₁ = 1,250 mm and L2 = 2,000 mm. Determine the normal strain in rod (2). (1) 4₁ Rigid bar (2) O 2849 μm/m O 3261 µm/m O 3071 µm/m O 3584 µm/m O 2594 μm/m B P L₂ C (1)
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 = 3.0 lb/in.³ is the specific weight of the material, y = 6.3 in. is the distance from the free (i.e., bottom) end of the bar, L = 21 in. is the length of the bar, and E = 27000 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 L of the bar (c) the maximum normal strain in the bar. Answer: (a) d = i (b) avg (c) Emax i x10-6 in. με με
Q2