Problem 1. A circular aluminum tube of length L = 400 mm is loaded in compression by forces P (see figure). The outside and inside diameters are 60 mm and 50 mm, respectively. A strain gage is placed on the outside of the bar to measure normal strains in the longitudinal direction. (a) If the measured strain is ɛ = 550 x 10°, what is the shortening d of the bar? (b) If the compressive stress in the bar is intended to be 40 MPa, what should be the load P? Strain gage L = 400 mm-

Problem 1. A circular aluminum tube of length L = 400 mm is loaded in compression by forces P (see figure). The outside and inside diameters are 60 mm and 50 mm, respectively. A strain gage is placed on the outside of the bar to measure normal strains in the longitudinal direction. (a) If the measured strain is ɛ = 550 x 10°, what is the shortening d of the bar? (b) If the compressive stress in the bar is intended to be 40 MPa, what should be the load P? Strain gage L = 400 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

Chapter1: Tension, Compression, And Shear

Section: Chapter Questions

Problem 1.7.6P: A circular aluminum tube of length L = 600 mm is loaded in compression by forces P (see figure). The...

See similar textbooks

Related questions

Q: The spring is unstretched when x 0. If the body moves from the initial position x 100 mm to the…

A: Given: The initial position of the body is, x1=100 mm. The final position of the body is, x2=200…

Q: Determine the moments of inertia Ix and ly of the shaded area, with respect to an axis passing…

A: we know thatmoment of inertia along centre is given byI=bd312and according to parallel xis…

Q: Exercise 12.89 0.55 m The mechanism shown is used to 0.3 m support the load P 8 kN. Determine…

Q: A sprinter reaches his maximum speed vmax in 2.5 s from rest with constant acceleration. He then…

Q: Design of Slider-Crank Mechanisms For Problems 5-11 through 5-18, design a slider with a time ratio…

A: GivenQ=1∆R4lmax=0.9mmt=0.4s

Q: 2 A spherical gas container made of steel has an 18-ft outer diameter and a wall thickness of in.…

Q: Enter your assigned value of y. Consider an hydroelectric dam with a turbine and generator. The free…

Q: A girl rolls a ball up an incline and allows it to re- turn to her. For the angle 8 and ball…

A: Write the given data. a=0.25gu=4 m/s

Q: 8.18 Two planes AB and BC in an elastic material under load are inclined at 45° to each other. The…

Q: Problem 4: Constrained Modulus A mounting block made of butyl rubber of modulus = 0.0015 GPa is…

Q: Question 5 A motorbike of mass 500 kg is travelling over an uneven road that can be modeled as sine…

A: Given: m = 500 kg k = 2000 N/m c = 1000 Ns/m FTR = 1.468

Q: For problems 1 and 2 below, using the Parallelogram method only (no other method will be accepted)…

Q: Please solve the question

A: Consider the T-S diagram of the system. Here the saturated steam enters at point 1 at pressure of 30…

Q: The pressure of water in a pipeline was measured by means of a simple manometer containing mercury.…

A: Consider the U-tube manometer according to the given queston as shown below, The manometer is…

Q: Ql- The following data relates to the office air conditioning plant having maximum seating capacity…

Q: The pin spanner is used to turn shafts and collars. If a moment of is required to turn the…

Q: QUESTION 1 Calculate the spindle speed in RPM of a lathe turning a 96 milimeter diameter material…

A: Given:d=96 mmV=148 SMPM

Q: A machine component is subjected to the forces and couples shown. The component is to be held in…

A: First replace the applied force and couples with an equivalent force -couple system at G.Assume R be…

Q: 6 - What is the magnitude of the resultant of these three forces? a) 182.9 N b) 325.8 N c) 542.3 N…

A: Solution: Note: Dear Student! As per our guidelines, we are only allowed to answer three sub-parts…

Q: Questions 18, 19 and 20 For the beam shown in the figure, if W is to be 500 Ib/ft and P is 2000 Ib.…

Q: 9. During a static test of an airplane wing, the strain-gauge readings from a 45° rosette (see…

A: Given data : Gauge A reading () = 530*10-6 Gauge B reading () = 420*10-6 Gauge C reading () =…

Q: Eluids air (k = 1.4, R = 287 J/kgK, C, = 1004.5J/kgK), burned gas (K' = 1.335. * K,1168 J/kgK) ms…

A: Combined cogeneration gas turbine and steam turbine plant In this plant gas turbine and steam…

Q: Define boundary layer and explain the boundary layer formation process stepwise over the flat…

A: Boundary layer: When a fluid is flowing over a surface a thin layer over the surface is formed and…

Q: 2.2 (A). If the maximum stress allowed in the copper of the cabie of problem 2.1 is 60 MN/m?,…

A: Given, The diameter of a single copper wire, d=1.6 mm No. of wires are 10 and there are such three…

Q: 1. Mohr's Circle as seen below has already been completed. Using the information contained in it,…

A: Note:As per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: Q1. In a multi storey building, two elevators A and B in the adjoining shafts start moving in…

A: The diagram of the two elevators are given as, At t = 0, the velocities of both elevators are given…

Q: Figure C4.3 depicts a production transfer machine that moves clutch housings from one station to…

Q: Which steps of the engineering (or scientific) method are part of an iterative process whose purpose…

A: In an iterative process, most important points include: Identification of important factors…

Q: In the process of charging the accumulator piston (diameter D=120 mm and mass m=0,6 kg) moved upward…

Q: Q.2. A rectangular section 300 mm wide and 500 mm deep is used on a span of 6 m for the loading…

Q: A point on a thin plate is subjected to the two successive states of stress shown. Determine the…

Question

Please solve the question

Problem 1. A circular aluminum tube of length L = 400 mm is loaded in compression by forces
P (see figure). The outside and inside diameters are 60 mm and 50 mm, respectively. A strain
gage is placed on the outside of the bar to measure normal strains in the longitudinal direction.
(a) If the measured strain is ɛ = 550 x 10“, what is
the shortening d of the bar?
(b) If the compressive stress in the bar is intended
to be 40 MPa, what should be the load P?
Strain gage
L= 400 mm-

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- Calculate the Yongs modules of aluminum tube

VIEW

Step 2 - Shortening in the tube

VIEW

Step 3 - the load P

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 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 circular aluminum tube of length L = 600 mm is loaded in compression by forces P (see figure). The outside and inside diameters are d2= 75 mm and d1= 63 mm, respectively. A strain gage is placed on the outside of the lube to measure normal strains in the longitudinal direction. Assume that E = 73 GPa and Poissons ratio is v = 0.33. (a) IF the compressive stress in the tube is 57 MPa, what is the load P? (b) If the measured strain is e = 78 J X 10-6, what is the shortening
A brass plate with a modulus of elastici ty E = 16 X 106 psi and Poisson’s ratio a = 0.34 is loaded in biaxial stress by normal stresses r and cry. (sec figure). A strain gage is bonded to the plate at an angle 4 = 350 If the stress o is 10,700 psi and the strain means used by the gageise = 390 X 106.whatisthcmax- imum in-plane shear stress (Tr, ),. and shear strain (>‘ ).? What is the maximum shear strain (y ) in the x-: plane? What is the maximum shear strain (y ).. in the y-r plane?
A circular cylindrical steel tank (see figure) contains a volatile fuel under pressure, A strain gage at point A records the longitudinal strain in the tank and transmits this information to a control room. The ultimate shear stress in the wall of the tank is 98 MPa, and a factor of safety of 2,8 is required. (a) At what value of the strain should the operators take action to reduce the pressure in the tank? (Data for the steel are modulus of elasticity E = 210 GPa and Poisson's ratio v = 0.30.) (b) What is the associated strain in the radial direction
The strains for an element of material in plane strain (see figure) are as follows: x = 480 ×10-6. y = 140 × l0-6, and xy = —350 x 10”. Determine the principals strains and maximum shear strains, and show these strains on sketches of properly oriented elements.
(a) Solve part (a) of the preceding problem if the pressure is 8.5 psi, the diameter is 10 in., the wall thickness is 0,05 in., the modulus of elasticity is 200 psi, and Poisson's ratio is 0.48. (b) If the strain must be limited to 1.01, find the maximum acceptable inflation pressure
Solve the preceding problem if the diameter is 480 mm, the pressure is 20 MPa, the yield stress in tension is 975 MPa, the yield stress in shear is 460 MPa, the factor of safety is 2,75, the modulus of elasticity is 210 GPa, Poissorfs ratio is 0.28, and the normal strain must not exceed 1190 x 10" . For part (b), assume that the tank thickness is 8 mm and the measured normal strain is 990 x 10~ .
A wine of length L = 4 ft and diameter d = 0.125 in. is stretched by tensile forces P = 600 lb. The wire is made of a copper alloy having a stress-strain relationship that may be described mathematically by =18,0001+30000.03(=ksi) in which is nondimensional and has units of kips per square inch (ksi). (a) Construct a stress-strain diagram for the material. (bj Determine the elongation, of the wire due to the Forces P. (c) IF the forces are removed, what is the permanent set of the bar? (d) If the forces are applied again, what is the proportional limit?
A rubber ball (sec figure) is inflated to a pressure of 65 kPa. At that pressure, the diameter of the ball is 240 mm and the wall thickness is 1.25 mm. The rubber has a modulus of elasticity E = 3,7 MPa and Poisson's ratio v = 0.48. (a) Determine the maximum stress and strain in the ball, (b) If the strain must be limited to 0.425, Find the minimum required wall thickness of the ball.
The normal strain in the 45n direction on the surface of a circular tube (sec figure) is 880 × 10 when the torque T = 750 lb-in. The tube is made of copper alloy with G = 6.2 × 106 psi and y = 0.35. If the outside diameter d2of the tube is 0.8 in., what is the inside diameter dt? If the allowable normal stress in the tube is 14 ksi, what is the maximum permissible inside diameter d?
-7 A steel tube (G = 11.5 x 106 psi) has an outer diameter d2= 2.0 in. and an inner diameter dt=1,5 in. When twisted by a torque 7", the tube develops a maximum normal strain of 170 x 10-6. What is the magnitude of the applied torque T?
A spherical steel pressure vessel (diameter 500 mm, thickness 10 mm) is coated with brittle lacquer that cracks when the strain reaches 150 X 10~ (see figure). (a) What internal pressure p will cause the lacquer to develop cracks? (Assume E = 205 GPa and v = 0.30.) (b) If the strain is measured at 125 x 10-6, what is the internal pressure at that point?
Solve the preceding problem if the cube is granite (E = 80 GPa, v = 0.25) with dimensions E = 89 mm and compressive strains E = 690 X l0-6 and = = 255 X 10-6. For part (c) of Problem 7.6-5. find the maximum value of cr when the change in volume must be limited to 0.11%. For part. find the required value of when the strain energy must be 33 J.