An aluminum right-circular cylinder surrounds a steel cylinder as shown in Fig. 1-29. The axial compressive load of 200 kN is applied through the rigid cover plate shown. If the aluminum cylinder is originally 0.25 mm longer than the steel before any load is applied, find the normal stress in each when the temperature has dropped 20 K and the entire load is acting. For steel take E = 200 GPa, a = 12 × 10°°C, and for aluminum assume E = 70 GPa, a= 25 × 10ºC. 200 kN 500 mm 80 mm -85 mm- 141 mm

An aluminum right-circular cylinder surrounds a steel cylinder as shown in Fig. 1-29. The axial compressive load of 200 kN is applied through the rigid cover plate shown. If the aluminum cylinder is originally 0.25 mm longer than the steel before any load is applied, find the normal stress in each when the temperature has dropped 20 K and the entire load is acting. For steel take E = 200 GPa, a = 12 × 10°°C, and for aluminum assume E = 70 GPa, a= 25 × 10ºC. 200 kN 500 mm 80 mm -85 mm- 141 mm

Materials Science And Engineering Properties

1st Edition

ISBN:9781111988609

Author:Charles Gilmore

Publisher:Charles Gilmore

Chapter9: Time, Temperature, And Mechanical Properties

Section: Chapter Questions

Problem 9.3P

See similar textbooks

Similar questions

Compare the engineering and true secant elastic moduli for the natural rubber in Example Problem 6.2 at an engineering strain of 6.0. Assume that the deformation is all elastic.
The data in Table 1.5.3 were obtained from a tensile test of a metal specimen with a rectangular cross section of 0.2011in.2 in area and a gage length (the length over which the elongation is measured) of 2.000 inches. The specimen was not loaded to failure. a. Generate a table of stress and strain values. b. Plot these values and draw a best-fit line to obtain a stress-strain curve. c. Determine the modulus of elasticity from the slope of the linear portion of the curve. d. Estimate the value of the proportional limit. e. Use the 0.2 offset method to determine the yield stress.
A steel rod is rigidly attached between an aluminum and bronze rod. The diameters of each material are shown in the figure. A fixed support is rigidly attached to the right end of the bronze rod. Determine the stress each section in KPa.
A cube with a side of a=15 cm is seated in a rigid recess from its five faces, as shown in the figure. The free face is subjected to a stress of P= 80 MPa. Find the change in length of the cube. Calculate the compressive stresses at the edges.Note: The top figure is the side view, the bottom figure is the top view of the system. E=40 GPa will be taken.
A hollow steel (E= 30,000ksi) tube (1) with an outside diameter of 2.75in. and a wall thickness of 0.25in. is fastened to a solid aluminum (E= 10,000 ksi) rod (2) that has a 2in. diameter and a solid 1.375in. diameter aluminum rod (3). The bar is loaded as shown in the figure. Determine (a) the change in length of steel tube (1); (b) the deflection of joint D with respect to the fixed support A. (c) the maximum normal stress in the entire axial assembly.
The lower ends of the three bars in the figure are the same level before the rigid homogeneous W=100 kN block is attached. The properties of the bars are shown in the table. The temperature of the bars is then increased by 80°C. The block is assumed to remain horizontal after all deformations have occured. a.) Which of the following most nearly gives the temperature rise to cause all of the applied loads to be supported by the steel rods? b.) Which of the following most nearly gives the stress developed in the bronze bar? c.) Which of the following most nearly gives the stress developed in the steel bar?
A steel rod is rigidly attached between an aluminum and bronze rod. The diameters of eachmaterial are shown in the figure. A fixed support is rigidly attached to the right end of thebronze rod. Determine the stress each section in KPa.
The figure shown below shows a rigid bar that is supported by a pin and two rods made of bronze and steel. (a) Neglecting the weight of the bar, compute the stress in the steel rod caused by the 60 KN load, (b) Compute the deformation of the steel rod caused by the 60 KN load.
The tank shown in Figure is fabricated from 1/8-in steel plate. Calculate the maximum longitudinal and circumferential stress caused by an internal pressure of 125 psi
A beam has a bending moment of 3.5 kN-m applied to a section with a hollow circular cross-section of the external diameter of 3.6 cm and an internal diameter of 2 cm. The modulus of elasticity for the material is 210 x 109 N/m2. Calculate the radius of curvature and maximum bending stress. Also, calculate the stress at the point at 0.5 cm from the neutral axis Solution: (i) The moment of inertia = Answer and unit for part 1 ii) The radius of curvature is Answer and unit for part 2 (iii) The maximum bending stress is Answer and unit for part 3 iv) The bending stress at the point 0.5 cm from the neutral axis is
For a steel plate, whose length (along the y-direction) is very large compared to its width (along the x-direction), the deflected surface is assumed to be cylindrical; the axis of the cylinder is parallel to the length of the plate. At a certain point, the strain in the shorter direction was measured as 0.0066. Taking E =255 x 103 N/mm2, Poisson’s ratio n = 0.3; Calculate the stresses σx & σy.b) Explain why in-plane forces are neglected in the analysis of bending in thin plates
The rigid horizontal slab is attached to two identical copper rods. There is a gap Δ = 6.18 mm between themiddle bar, which is made of aluminum, and the slab. Neglecting the mass of the slab, calculate the stress in each rod when the temperature in the assembly is increased by 81°C. Use the following data: