A 40 mm diameter aluminum cylinder and 20 mm diameter steel cylinder are positioned snugly between two rigid walls. The temperature is then raised by 30°C. What will be the magnitude of the stress in the aluminum cylinder? Answer in MPa rounded-off to 2 decimal places. Al : E = 72 GPa; a = 22.5 x 10-6/°C L= 80 mm Steel: E = 210 GPa; a = 12 x 10-6/°C L = 200 mm Aluminum Steel

A 40 mm diameter aluminum cylinder and 20 mm diameter steel cylinder are positioned snugly between two rigid walls. The temperature is then raised by 30°C. What will be the magnitude of the stress in the aluminum cylinder? Answer in MPa rounded-off to 2 decimal places. Al : E = 72 GPa; a = 22.5 x 10-6/°C L= 80 mm Steel: E = 210 GPa; a = 12 x 10-6/°C L = 200 mm Aluminum Steel

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter7: Analysis Of Stress And Strain

Section: Chapter Questions

Problem 7.2.26P: -26 A rectangular plate of dimensions 125 mm × 75 mm is subjected to tensile stress sy= 67 kPa and...

See similar textbooks

Similar questions

At a point on the surface of an elliptical exercise machine, the material is in biaxial stress with t = 1400 psi and trv = —900 psi, as shown in the figure part a. The figure part b shows an inclined plane aa cut through the same point in the material but oriented at an angle ft Determine the value of the angle 6 between zero and 90° such that no normal stress acts on plane aa. Sketch a stress clement having plane aa as one of its sides and show all stresses acting on the clement
-26 A rectangular plate of dimensions 125 mm × 75 mm is subjected to tensile stress sy= 67 kPa and compressive stress a. If it is known that the normal stress along the diagonal t—t is ??t= -6.57 kPa, find stress ??y on element A. a
Solve the preceding problem if F =90 mm, F = 42 kN, and t = 40°MPa
A capped cast-iron pipe is compressed by a brass rod, as shown. The mil is turned until it is just snug, then add an additional quarter turn to pre-compress the cast-iron pipe. The pitch of the threads of the bolt ap = 52 mils (a mil is one-thousandth of an inch). Use the numerical properties provided. (a) What stresses a and arwill be produced in the cast-iron pipe and brass rod. respectively, by the additional quarter turn of the nut? (b) Find the bearing stress ahbeneath the washer and the shear stress t(in the steel cap.
Solve the preceding problem for an element in plane stress on the bottom surface of a fuel tanker (figure part a); stresses are sx= 105 MPa, sy. = 75 MPa, and ??xy= 25 MPa. Determine the stresses acting on an element oriented at an angle ?? = 40° from the x axis, where the angle is positive when counterclockwise. Show these stresses on a sketch of an element oriented at the angle ??.
The polyethylene liner of a settling pond is subjected to stresses ax= 350 psi. a = 112 psi. and = -120 psi, as shown by the plalte-stress element in the figure part a. Determine the normal and shear stresses acting on a seam oriented at an angle 01300 to the element, as shown in the figure part b. Show these stresses on a sketch of an element having its sides parallel and perpendicular to the seam.
A 40 mm diameter aluminum cylinder and 20 mm diameter steel cylinder are positioned snugly between two rigid walls. The temperature is then raised by 30°C. What will be the stress in the aluminum cylinder? Answer in MPa rounded-off to 2 decimal places. Al : E = 72 GPa; a = 22.5 x 10-6/°C L= 80 mm Steel: E = 210 GPa; a = 12 x 10-6/°C L = 200 mm Aluminum Steel
Two solid cylindrical rods support a load of P = 39 kN, as shown. Rod (1) has a diameter of 16 mm and the diameter of rod (2) is 11 mm. Determine the axial stress in rod 2. Assume a = 2.2 m, b = 4.6 m, c = 2.7 m, and d = 2.4 m. Use positive for tensile stress and negative for compressive stress. Express your answer in MPa rounded to the nearest whole number.
Two solid cylindrical rods support a load of P = 39 kN, as shown. Rod (1) has a diameter of 16 mm and the diameter of rod (2) is 11 mm. Determine the axial stress in rod 1 and rod 2. Assume a = 2.2 m, b = 4.6 m, c = 2.7 m, and d = 2.4 m. Use positive for tensile stress and negative for compressive stress. Express your answer in MPa rounded to the nearest whole number.
(1) Given: b₁ B P=28 kN Square Bars b₁ = 57 mm (2) Q =9 kN b2 C b₂ = 19mm (3) Q R = 38kN ↑ D b3 = 38mm R WHAT IS THE AXAIL STRESS IN BAR 2? ANSWER IN MPa ROUNDED-OFF TO 2 DECIMAL PLACES. POSITIVE FOR TENSILE STRESS AND NEGATIVE FOR COMPRESSIVE STRESS.
b3 C Q ↑ D P= 23 KN R = 34 KN Square Bars b₁ = 57 mm 6₂ = 19mm b3 = 38mm WHAT IS THE AXAIL STRESS IN BAR 1 ? ANSWER IN MPa ROUNDED-OFF TO 2 DECIMAL PLACES. POSITIVE FOR TENSILE STRESS AND NEGATIVE FOR COMPRESSIVE STRESS. (1) A Guen: b₁ B (2) Q =9 kN b₂ (3) R
A rigid horizontal bar ABC is supported by three vertical rods as shown. The system is stress free before the load is applied. After the load P is applied, the temperature of all three rods is raised by 110°F. Determine the magnitude of the normal stress in rod (1). Answer in MPa rounded-off to 2 decimal places. Rod (1) : E = 105 GPa; a = 22.0 x 10-6/°C A=500 mm² Rod (2): E = 200 GPa; a = 11.7 x 10-6/°C A=250 mm² 2,100 mm 4,400 mm (2) (1) B (2) P = 45 KN 2,100 mm