Two tempered-steel bars, eachin. thick, are bonded to a 1/2 -in. mild-steel bar. Thiscomposite bar is subjected as shown to a centric axial load of magnitude P. Both steels areelastoplastic with E= 29 × 106 psi and with yield strengths equal to 100 ksi and 50 ksi,respectively, for the tempered and mild steel. Determine the residual stresses in thetempered-steel bars if the load P is gradually increased from zero until the deformation ofthe bar reaches a maximum value 5m = 0.04 in. and is then decreased back to zero. Take L= 17 in.2.0 in.in.33 in.316 in.The residual stress in the tempered-steel bars isksi.

Answered: Image /qna-images/answer/66093c0d-ad87-4a71-a9dc-393182655376.jpg

Answered: Two tempered-steel bars, each in.…

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter3: Torsion

Section: Chapter Questions

Problem 3.5.1P: A circular copper bar with diameter d = 3 in. is subjected to torques T = 30 kip-in. at its ends....

See similar textbooks

Similar questions

A circular copper bar with diameter d = 3 in. is subjected to torques T = 30 kip-in. at its ends. Find i lie maximum shear, ion si le. and compressive stresses in the tube and their corresponding strains. Assume that G = 6000 ksi.
A mild steel rod of 25 mm diameter and 400 m long is encased centrally inside a hollow coppertube of external diameter 35 mm and inside diameter 30 mm. The ends of the rod and tube arerigidly attached, and the composite bar is subjected to an axial pull of 40 kN. If E for steel andcooper is 200 GN/m2 and 100 GN/m2 respectively, find the stress developed in the rod and thetube. Find also the extension of the rod.
Answer the ff correctly. The rectangular bar shown is connected to a support bracket with a 24 mm diameter pin. The width of the rectangular bar is 70 mm and its thickness is 15 mm. The bearing stress in the bar cannot exceed 120 MPa. Determine the maximum value of Pmax that can be supported based solely on consideration of the bearing stress in the bar. Note: This question is not asking about any stresses in the support bracket...just bearing stress in the rectangular bar.
The rectangular bar shown is connected to a support bracket with a 24 mm diameter pin. The width of the rectangular bar is 70 mm and its thickness is 15 mm. The bearing stress in the bar cannot exceed 120 MPa. Determine the maximum value of Pmax that can be supported based solely on consideration of the bearing stress in the bar. Note: This question is not asking about any stresses in the support bracket...just bearing stress in the rectangular bar.
Two solid cylindrical rods (1) and (2) are joined together at flange B and loaded, as shown. The diameter of rod (1) is d1 = 1.66 in. and the diameter of rod (2) is d2 = 2.68 in. Determine the normal stresses in rods (1) and (2). Assume P = 17 kips and Q = 29 kips. Use positive for tensile stress and negative for compressive stress.
The composite bar, firmly attached to unyielding supports, is initially stress-free. What maximum axial load P can be applied if the allowable stresses are 10 ksi for aluminum and 18 ksi for steel?
The part shown is loaded at point C with 295 N in the positive x direction and at point Ewith 195 N in the positive y direction. The diameter of the bar ABD is 12 mm. Evaluate the likelihood of failure in section AB. dia, d where P= 295 N, Q= 195 N, and d= 12 mm NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Determine the stresses acting on the critical stress element. The stresses acting on the critical stress element are as follows: Ototal MPa T= MPa
A 100-mm diameter solid bar is applied at the surface of the bar with a torque of 5kNm and a tensile force P acting 20-mm from its centerline, as shown in figure 3A. The maximum allowable normal and shear stresses of the material are 100 MPa and 80 MPa, respectively. A. Draw the Mohr's Circle showing the state of stress of the most stressed point of the assembly. Include all other pertinent points wherein its normal stress components are expressed in terms of the variable P. Using the illustration made from A: B. What will be the maximum tensile stress experienced by the material when it reaches its maximum shear stress capacity? C. What will be the maximum shear stress experienced by the material when it reaches its maximum normal stress capacity? D. What will be the maximum allowable value of P which may be applied at the bar such that the material will not fail? 100mm Figure 3A h 5kNm 20mm ➜→y -----→: X Figure 3B
A bronze bar is fastened between a steel bar and an aluminum bar as shown in Fig. Axail loads are applied at the positions indicated. Find the largest value of P that not exceed an overall deformation of 0.1 mm, or the following stresses: 140 MPa in the steel, 120 MPa in the bronze, and 80 MPa in the aluminum. Assume that the assembley is suitablly barced to prevent buckling. Use E = 200 GPa for steel, E=83 GPa for bronze, and E= 70 GPa for aluminum. Steel A= 480 mm² Bronze A = 650 mm² Aluminum A = 320 mm² 3P 4P 2P 1.0 m 1.5 m P = 12.8 KNO P = 6.8 KN P = 1.4 KN P = 0.4 KN 2.0 m
The rectangular bar shown is connected to a support bracket with a 27 mm diameter pin. The width of the rectangular bar is 90 mm and its thickness is 15 mm. The bearing stress in the bar cannot exceed 120 MPa. Determine the maximum value of Pmax that can be supported based solely on consideration of the bearing stress in the bar. Note: This question is not asking about any stresses in the support bracket.just bearing stress in the rectangular bar. Rectangular bar Support - bracket
3) A 10 kN-m torque, T, and a 50 kN axial load, F, are applied to the end of an aluminum 6063 tank containing compressed air under a pressure of 2 MPa. The tank has a 400 mm outer diameter and a 20 mm wall thickness. Aluminum 6063 has a yield strength of 48 MPa. a. Draw and label a stress element for the most stressed point on the tank. Explain why this is the most stressed point. b. Sketch Mohr's circle and find the principal stresses at the most stressed point. Make sure you label your axes! c. Determine whether or not this is a safe loading scenario by considering the max normal stress, max shear stress, and distortion energy. (Hint - calculate the factor of safety for each failure criteria) T
The inner diameter of a cylindrical pressure vessel is 400 mm. When subject to pressure, the hoop stress in the cylinder wall is 40 MPa. For the material of construction E = 200 GPa and Poisson's ratio = 0.3. The %3D increase in inner diameter is, O a. 0.016 mm b. 0.08 mm O c. 0.068 mm O d. 0.04 mm

SEE MORE QUESTIONS

Recommended textbooks for you

Mechanics of Materials (MindTap Course List)

Mechanical Engineering

ISBN:

9781337093347

Author:

Barry J. Goodno, James M. Gere

Publisher:

Cengage Learning

Mechanics of Materials (MindTap Course List)

Mechanical Engineering

ISBN:

9781337093347

Author:

Barry J. Goodno, James M. Gere

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS