Connect 1-semester Access Card For Shigley's Mechanical Engineering Design
10th Edition
ISBN: 9780077591632
Author: Richard G Budynas; Keith J Nisbett
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 6, Problem 13P
A solid square rod is cantilevered at one end. The rod is 0.6 m long and supports a completely reversing transverse load at the other end of ±2 kN. The material is AISI 1080 hot-rolled steel. If the rod must support this load for 104 cycles with a design factor of 1.5, what dimension should the square cross section have? Neglect any stress concentrations at the support end.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A steel rod is subjected to a reversed axial load of 180 kN. Find the diameter of the rod for a factor of safety of 2. Neglect column action. The material has an ultimate tensile strength of 1070 MPa and yield strength of 910 MPa. The endurance limit in reversed bending may be assumed to be one-half of the ultimate tensile strength. Other correction factors may be taken as follows: For axial loading (Ka) = 0.7; For machined surface (Ksur) = 0.8 ; For size (Ksz) = 0.85 ; For stress concentration(Kf)= 1.0.3.
A rotating shaft of 25-mm diameter is simply supported by bearing reaction forces R1 and R2. The shaft is loaded with a transverse load of 13 kN as shown in the figure. The shaft is made from AISI 1045 hot-rolled steel. The surface has been machined. Determine
a) The minimum static factor of safety based on yielding
b) the endurance limit adjusted as necessary with Marin factors
c) the minimum fatigue factor of safety based on achieving infinite life
d) if the fatigue factor of safety is less than 1, then estimate the life of the part in number of rotations
A round cross section cold drawn steel bar made of AISI 1020 has adiameter of 35 mm. Based on a conservative failure analysis, calculate factorof safety in the following conditions:a) The bar is subjected to static bending moment of 450 N.m, and steadytorque of 180 N.mb) The bar is subjected to bending moment fluctuating between(900 N.m and 400 N.m), and steady tension of 2.4 kN
Chapter 6 Solutions
Connect 1-semester Access Card For Shigley's Mechanical Engineering Design
Ch. 6 - A 10-mm steel drill rod was heat-treated and...Ch. 6 - Prob. 2PCh. 6 - A steel rotating-beam test specimen has an...Ch. 6 - A steel rotating-beam test specimen has an...Ch. 6 - A steel rotating-beam test specimen has an...Ch. 6 - Repeat Prob. 6-5 with the specimen having an...Ch. 6 - A steel rotating-beam test specimen has an...Ch. 6 - Derive Eq. (6-17). Rearrange the equation to solve...Ch. 6 - For the interval 103 N 106 cycles, develop an...Ch. 6 - Estimate the endurance strength of a...
Ch. 6 - Two steels are being considered for manufacture of...Ch. 6 - A 1-in-diamctcr solid round bar has a groove...Ch. 6 - A solid square rod is cantilevered at one end. The...Ch. 6 - A rectangular bar is cut from an AISI 1020...Ch. 6 - A solid round bar with diameter of 2 in has a...Ch. 6 - The rotating shaft shown in the figure is machined...Ch. 6 - The shaft shown in the figure is machined from...Ch. 6 - Solve Prob. 6-17 except with forces F1 = 1200 lbf...Ch. 6 - Bearing reactions R1 and R2 are exerted on the...Ch. 6 - A bar of steel has the minimum properties Se = 40...Ch. 6 - Repeat Prob. 6-20 but with a steady torsional...Ch. 6 - Repeat Prob. 6-20 but with a steady torsional...Ch. 6 - Repeat Prob. 6-20 but with an alternating...Ch. 6 - A bar of steel has the minimum properties Se = 40...Ch. 6 - The cold-drawn AISI KUO steel bar shown in the...Ch. 6 - Repeat Prob. 6-25 for a load that fluctuates from...Ch. 6 - An M14 2 hex-head bolt with a nut is used to...Ch. 6 - The figure shows a formed round-wire cantilever...Ch. 6 - The figure is a drawing of a 4- by 20-mm latching...Ch. 6 - The figure shows the free-body diagram of a...Ch. 6 - Solve Prob. 6-30 except let w1 = 2.5 in. w2 = l.5...Ch. 6 - For the part in Prob. 630, recommend a fillet...Ch. 6 - Prob. 33PCh. 6 - Prob. 34PCh. 6 - A part is loaded with a combination of bending,...Ch. 6 - Repeat the requirements of Prob. 6-35 with the...Ch. 6 - 6-37 to 6-46For the problem specified in the build...Ch. 6 - 6-37 to 6-46For the problem specified in the build...Ch. 6 - 637 to 646 For the problem specified in the table,...Ch. 6 - For the problem specified in the table, build upon...Ch. 6 - 6-37 to 6-46 For the problem specified in the...Ch. 6 - 6-37 to 6-46 For the problem specified in the...Ch. 6 - 6-37 to 6-46 For the problem specified in the...Ch. 6 - Problem Number Original Problem, Page Number 637...Ch. 6 - 6-37 to 6-46 For the problem specified in the...Ch. 6 - 6-37 to 6-46 For the problem specified in the...Ch. 6 - 6-47 to 6-50 For the problem specified in the...Ch. 6 - 6-47 to 6-50 For the problem specified in the...Ch. 6 - Prob. 49PCh. 6 - Prob. 50PCh. 6 - 6-51 to 6-53 For the problem specified in the...Ch. 6 - 6-51 to 6-53 For the problem specified in the...Ch. 6 - 6-51 to 6-53 For the problem specified in the...Ch. 6 - Solve Prob. 6-17 except include a steady torque of...Ch. 6 - Solve Prob. 618 except include a steady torque of...Ch. 6 - In the figure shown, shaft A, made of AISI 1020...Ch. 6 - A schematic of a clutch-testing machine is shown....Ch. 6 - For the clutch of Prob. 657, the external load P...Ch. 6 - A flat leaf spring has fluctuating stress of max =...Ch. 6 - A rotating-beam specimen with an endurance limit...Ch. 6 - A machine part will be cycled at 350 MPa for 5...Ch. 6 - The material properties of a machine part are Sut...Ch. 6 - Repeat Prob. 662 using the Goodman criterion....
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 pinned-end strut of aluminum (E = 10,400 ksi) with a length L = 6 ft is constructed of circular tubing with an outside diameter d = 1 in. (sec figure). The strut must resist an axial load F = 4 kips with a factor of safety n = 2.0 with respect to the critical load. Determine the required thickness t of the tube.arrow_forwardThe rails of a railroad track are welded together at their ends (to form continuous rails and thus eliminate the clacking sound of the wheels) when the temperature is 60°F. What compressive stress ?? =6.5×10-6 /? is produced in the rails when they are heated by the sun to 120"F if the coefficient of thermal expansion a = the modulus of elasticity E = 30 × 106 psi?arrow_forwardAn aluminum bar has length L = 6 ft and diameter d = 1.375 in. The stress-strain curse for the aluminum is shown in Fig. 1.34. The initial straight, line part of the curve has a slope (modulus of elasticity) of 10.6 × 106 psi. The bar is loaded by tensile forces P = 44.6 k and then unloaded. (a) That is the permanent set of the bar? (b) If the bar is reloaded. what is the proportional limit? hint: Use the concepts illustrated in Figs. l.39b and 1.40.arrow_forward
- A high-strength steel bar used in a large crane has a diameter d = 2.00 in. (sec figure). The steel has a modulus of elasticity E = 29 × 10 psi and Poisson’s ratio is v = 0.29. Because of clearance requirements, the diameter of the bar is limited to 2.001 in. when it is compressed by axial forces. What is the largest compressive load Pmaxthat is permitted?arrow_forwardSolve the preceding problem if the internal pressure is 3,85 MPa, the diameter is 20 m, the yield stress is 590 MPa, and the factor of safety is 3.0. (a) Determine the required thickness to the nearest millimeter. (b) If the tank wall thickness is 85 mm, what is the maximum permissible internal pressure?arrow_forwardA bar AISI 1035 steel forged and heat treated with minimum yield strength of 570MPa is subjected to bending moment of 290Nm and a torsional moment of 310Nm. Assuming a factor of safety of 2, determine the diameter of rod using the following theories of failure (i) Maximum Shear stress theory and (ii) Distortion Energy theory (iii) Maximum stress theory, also specify which diameter is considered as safearrow_forward
- Rigid bar ABCD is supported by a pin connection at A and by two axial bars (1) and (2). Bar (1) is a 30-in.-long bronze [E = 15700 ksi, α=α= 9.5 × 10−6/°F] bar with a cross-sectional area of 1.50 in.2. Bar (2) is a 40-in.-long aluminum alloy [E = 8000 ksi, α=α= 11.9 × 10−6/°F] bar with a cross-sectional area of 2.50 in.2. Both bars are unstressed before the load P is applied. Assume L1=30 in., L2=40 in., a=36 in., b=44 in., and c=14 in. If a concentrated load of P = 31 kips is applied to the rigid bar at D and the temperature is decreased by 80°F. (A) Using a FBD of the beam, assuming members in tension, relate the force in the members and the applied force P by summing moments about the pin at A. Assume counterclockwise is positive in writing the equation.Answer: (___ in.) F1 + (___ in.) F2 + (___ in.) (31 kips) = 0. (B) Assume the rigid bar ABCD rotates clockwise around point A. Using a deflection sketch, relate the deflections of points B and C. Assume positive deflections are down.…arrow_forwardA bracket is under a loading condition shown below. It's made from a steel with yield strength (Sy) of 42 ksi and ultimate tensile strength (Sut) of 76 ksi. The diameter is 0.42 in and b = 1.75 in, with the load P fluctuate between 15 lbs (tension) and -5 lbs (compression). Using the modified Goodman or Gerber criterion, determine the fatigue factor of safety based on infinite life. If infinite life is not predicted, estimate the number of cycles to failure. Also check for yielding.arrow_forwardAn input shaft of a gearbox with motor power P = 7 kW and rotation number n = 1300 rpm. The diameter of an input shaft is d = 20 mm and its material is 16MnCr5. A force of F = 2800 N forces the shaft due to the operation of a gear wheel connected with a wedge on the input shaft. The distances of the gear from the bearings are given as L₁ = 40 mm and L2 = 60 mm. In the most dangerous section, you are required to check the strength according to the S = 3 safety factor. If the section is unsafe in terms of strength, what changes would you make in the design to make it safe? (The surface of the spindle is machined as fine chips, reliability poor Kg = 1.).arrow_forward
- The rotating shaft running at n = 900 rpm, shown in the figure below, is machined from AISI 1045 CD steel. It is subjected to a force of F = 10.1 kN. The shaft is experiencing an operating temperature of 35 oC. With the specified loading and for the reliability of 99.9 %, Determine the minimum factor of safety for fatigue based on infinite life*. Determine the maximum safe load (Fmax) that can be applied for a factor of safety of 1.5 and a design life of 5x105 cycles, all other input values remaining the same. Determine the factor of safety against yielding.arrow_forwardAn industrial machine requires a solid, round piston connecting rod 200 mm long, between pin ends that is subjected to a maximum compression force of 80,000 N. Using a factor of safety of 2.5, what diameter is required if aluminum is used with properties Sy = 496 MPa and E = 71 GPa.arrow_forwardA helical compression spring is made of a specialty alloy wire with a wire diameter d = 4 mm and an inner coil diameter Di = 18 mm. For this type of alloy and specified wire diameter, the shear yield strength is 715 MPa and the modulus of rigidity is 77.2 GPa. If the spring has 9 active coils, determine the factor of safety nd when the spring deflection is 7 mm.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
EVERYTHING on Axial Loading Normal Stress in 10 MINUTES - Mechanics of Materials; Author: Less Boring Lectures;https://www.youtube.com/watch?v=jQ-fNqZWrNg;License: Standard YouTube License, CC-BY