A steel cable is used to support an elevator cage at the bottom of a 1900-ft-deep mineshaft. A uniform normal strain of 240 pin./in. is produced in the cable by the weight of the cage. At each point, the weight of the cable produces an additional normal strain that is proportional to the length of the cable below the point. Assume D = 1900 ft and d = 500 ft. If the total normal strain in the cable at the cable drum (upper end of the cable) is 780 μin./in., determine (a) the strain in the cable at a depth of 500 ft. (b) the total elongation of the cable. Drum Cable Answers: (a) ε = (b) 8 = i i d Elevator cage D X pin./in. in.

A steel cable is used to support an elevator cage at the bottom of a 1900-ft-deep mineshaft. A uniform normal strain of 240 pin./in. is produced in the cable by the weight of the cage. At each point, the weight of the cable produces an additional normal strain that is proportional to the length of the cable below the point. Assume D = 1900 ft and d = 500 ft. If the total normal strain in the cable at the cable drum (upper end of the cable) is 780 μin./in., determine (a) the strain in the cable at a depth of 500 ft. (b) the total elongation of the cable. Drum Cable Answers: (a) ε = (b) 8 = i i d Elevator cage D X pin./in. in.

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: 4. Given a shear stress of T-35 MPa and a shear modulus of G= 75 GPa, the shear strain is most…

A: Given data Shear stress=35 mpa Shear modulus =75 gpa We have to determine shear Strain

Q: The sanding-drum mandrel shown in the figure is made for use with a hand drill. The mandrel is made…

A: Answer: (a) Average normal strain = 0.0833 in./in. (b) Circumfential strain = 0.0833 in./in.

Q: Part of a control linkage for an airplane consists of a rigid member CBD and a flexible cable AB.…

A: To find (a) The normal strain in cable AB initially when member CBD rotates by 0.3°. (b) The…

Q: each graduation is 5 micron The maximum shear strain is:

Q: 4. Show that Cp = as +45°. principal strain and shear strain

A: from strain formula's we need to prove

Q: Prob. 2.3-4. A "rigid" beam BC of length L is supported by a fixed pin at C and by an extensible rod…

Q: Part of a control linkage for an airplane consists of a rigid member CB and a flexible cable AB.…

A: Given data To determine which of the following statement is false 1 B' is located directly to…

Q: Problem 1: Determine the normal strain in wires AB and AC if point A displaces 2mm to the right…

Q: H.W.I A rigid steel bar ABC is pinned at B and supported by two rods at A and C. There is no strain…

Q: A specimen consists of a rigid member CBD and a flexible cable AB. A: Determine the normal strain in…

Q: A rigid horizontal bar ABC is supported by three vertical rods. There is no strain in the rods…

A: GivenP=20kN

Q: The strain components, ex= 940 micro strain, ey= -360 micro strain and yxy=830micro strain are given…

Q: The sanding-drum mandrel shown in the figure is made for use with a hand drill. The mandrel is made…

A: INTRODUCTION: As we know, strain is always the change in body dimension to the original body…

Q: Q5) A material is subjected to two mutually perpendicular linear strains together with a shear…

A: For the solution refer below images.

Q: Determine the transverse strain in the x axis of the solid subjected to longitudinal tension. 4 cm 1…

A: Given:To find:The transverse strain in the x-axis of the solid subjected to longitudinal tension.

Q: Problem 3: A 0.625 in. thick rectangular alloy bar is subjected to a tensile load P by pins at A and…

Q: A rod is 0.5 m long and 5 mm diameter. It is stretched 0.06 mm by a force of 3 kN. Determine the…

Q: At a point in a strained material, if two mutually perpendicular tensile stresses of 200 kg/cm² and…

Q: A thin triangular plate PQR forms a right angle at point Q. During deformation, point Q moves to the…

A: Answer:-

Q: 1. Find the relationships between strain components in the polar coordinate and strain components in…

A: To find the relationships between strain components in the polar coordinate and strain components in…

Q: A steel cable is used to support an elevator cage at the bottom of a 2400-ft-deep mineshaft. A…

A: Given Data: ◆ The uniform normal strain in the cable due to weight of the cage: εuniform = 300…

Q: Calculate the longitudinal strain, if internal pressure is 1.2 N/mm2 and 1 m in diameter along with…

Q: Prove that the sum of the normal strains in perpendicular directions is constant, i.e., P x+ P y = P…

A: Sum of strains in X and Y directions are Sum of strains in perpendicular X and Y directions are

Q: a. Normal strain and shear strain components, Ex, Ey, &z and Yxy. b. Magnitude and orientation of…

A: Given Data: v=0.3E=200 GPaε1=-75×10-6ε2=300×10-6ε3=250×10-6 To Find:

Q: 1) Load P is applied to the fixed-supported symmetrical I profile beam. The beam material is steel,…

A: “Since you have posted a question with multiple sub-parts, we will provide the solution only to the…

Q: A sheet of steel is stretched biaxially in the xy-plane. The strains in the sheet are described…

Q: The force applied at the handle of the rigid lever causes the lever rotate clockwise about the pin B…

Q: The two bars are used to support load P. When unloaded, joint B has coordinates (0, 0). After load P…

Q: A steel rod is subjected to a gradually applied load (F) which gave a rise to a maximum stress of…

Q: H.W.7 A rigid steel bar ABC is supported by three rods. There is no strain in the rods before load P…

Q: A steel cable is used to support an elevator cage at the bottom of a 2100-ft-deep mineshaft. A…

A: Given:l=2100 ftuniform normal strain, εn=240μin/inD=2100ftd=500ft

Q: If the in-plane principal strains both have the same sign, the absolute maximum shear strain will…

A: The statement is true.

Q: Deformed length of the elongated diagonal.

A: Given; A rectangular region in a solid is in a state of plane strain. The rectangle is subjected…

Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

A steel cable is used to support an elevator cage at the bottom of a 1900-ft-deep mineshaft. A uniform normal strain of 240 pin./in. is
produced in the cable by the weight of the cage. At each point, the weight of the cable produces an additional normal strain that is
proportional to the length of the cable below the point. Assume D = 1900 ft and d = 500 ft. If the total normal strain in the cable at the
cable drum (upper end of the cable) is 780 μin./in., determine
(a) the strain in the cable at a depth of 500 ft.
(b) the total elongation of the cable.
Drum
Cable
Answers:
(a) ε =
(b) 8 =
i
i
d
Elevator cage
D
X
pin./in.
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

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 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

A rigid steel bar AB is pinned at A and supported by two rods. There is no strain in the rods before load P is applied. (2) After load P is applied, the axial strain in rod (1) is ɛ = 860.00 %3D (1) 2600 mm 1500 mm Determine the axial strain in rod (2) and the downward deflection of the rigid bar at B. 600 mm 700 mm 550 mm Try One E2 mm
3. Determine the stress and strain in the cable on the upper beam if the force applied caused point D to move 0.00508 m downwards. Neglect the weight of the bars and the elongation of the cable between the bars. Assume the length of the upper cable is 1 m and the area is 3.2258 x 10³ m. D 2m 12 000 N 2m
3. A thin strip of rubber has an initial length of 25 in. If it is stretched around a pipe having an outer diameter of 7 in., determine the average normal strain in the strip.
If DC has a normal strain € = 0.003, DA has a normal strain y = 0.004 and at D, Yzy = 0.02 rad, determine the average normal strain along diagonal CA. Express your answer in millimeters per millimeter to three significant figures.
Determine the deformed length of the elongated diagonal
Prove that the sum of the normal strains in perpendicular directions is constant, i.e., Px + Py = Px′ + Py′
4. Given a shear stress of T35 MPa and a shear modulus of G= 75 GPa, the shear strain is most nearly (A) 2.5 x 10-5 rad (B) 4.7 x 10-4 rad (C) 5.5 x 10-4 rad (D) 8.3 x 10-4 rad
For the state of a plane strain with Ex, Ey and yxy components: (a) construct Mohr's circle and (b) determine the equivalent in-plane strains for an element oriented at an angle of 30° clockwise. Ex = 250 x 10-6 Ey = 310 x 10-6 Yxy = -100 × 10-6
A steel cable is used to support an elevator cage at the bottom of a 1700-ft-deep mineshaft. A uniform normal strain of 220 μin./in. is produced in the cable by the weight of the cage. At each point, the weight of the cable produces an additional normal strain that is proportional to the length of the cable below the point. Assume D = 1700 ft and d= 700 ft. If the total normal strain in the cable at the cable drum (upper end of the cable) is 520 uin./in., determine (a) the strain in the cable at a depth of 700 ft. (b) the total elongation of the cable. Drum Cable Answers: (a) ε = (b) 8 = y i i Elevator cage D X μin./in. in.
Kindly answer correctly. I need this urgently. I appreciate your assistance. Thanks in advance
A 20-mm diameter steel rod, 250 mm long is subjected to a tensile force of 75 kN. If the Poisson’s ratio μ is 0.30, determine the lateral strain of the rod. Use E = 200 GPa. Ans; Ey= -3.581x10^-4mm/mm
Q5) A material is subjected to two mutually perpendicular linear strains together with a shear strain. Given that this system produces principal strains of 1x 104 compressive and 3x 104 tensile and that one of the linear strains is 2.5x 104 tensile, determine the magnitudes of the other linear strain and the shear strain by using Mohr's strain circle. Also, find the values of the principal stresses present in the material by using Mohr's stress circle. For the material, take E=208GN/m² and v=0.3