A solid square rod is cantilevered at one end. The rod is 0.600 m long and supports a completely reversing transverse load at the other end of ±1.70 kN. The material is AISI 1080 hot-rolled steel. If the rod must support this load for 5.000 × 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. Determine the endurance limit for this application. Assume that the size modification factor %media.formula 1960.mml% is 0.85 until a size for the section is known.

A solid square rod is cantilevered at one end. The rod is 0.600 m long and supports a completely reversing transverse load at the other end of ±1.70 kN. The material is AISI 1080 hot-rolled steel. If the rod must support this load for 5.000 × 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. Determine the endurance limit for this application. Assume that the size modification factor %media.formula 1960.mml% is 0.85 until a size for the section is known.

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 1.7.10P: Three round, copper alloy bars having the same length L but different shapes are shown, in the...

See similar textbooks

Similar questions

4. 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. 65
A solid square rod is cantilevered at one end. The rod is 0.8 m long and supports a completely reversing transverse load at the other end of 50 kN. The material is AISI 1060 hot-rolled steel (sy = 370 MPa, Su = 680 MPa). Use a design factor of 2 and determine the dimensions of the square cross section for the following cases. Consider all possible endurance limit modifying factors. Neglect any stress concentration. a. The rod must support this load for 100 cycles.
If d=40 mm, L=796 mm, F=29 kN, T=1.7 kNm and fail stress=156 MPa, calculate the apparent factor of safety for this loading condition. Give your answer to 2 decimal places.
A cylindrical 1045 steel bar is subjected to repeated compression-tension stress cycling along its axis. If the load amplitude is 23,000 N, calculate the minimum allowable bar diameter (in mm) to ensure that fatigue failure will not occur. Assume a factor of safety of 2.0. O A. 13.7 mm O B. 9.72 mm O C. 19.4 mm O D. 17.4 mm
Please help with all need items, analysis, element, mohir circle, wtc. Thank you.
Problem 4: A cast iron shaft, ASTM-25 with an ultimate tensile strength of 25,000 psi, is subjected to a tor- sional load which is completely reversed. The load is to be applied an indefinite number of cycles. The shaft is 2" in diameter and is joined to a 3" diameter shaft with a " radius fillet. The factor of safety is to be 2. What is the maximum torque that can be applied to the shaft? Solve by two methods: (1) using Soderberg's equation, (2) using s = Tc/J directly.
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.
1. A solid square rod is cantilevered at one end. The rod is 0.8 m long and supports a completely reversing transverse load at the other end of 50 kN. The material is AISI 1060 hot-rolled steel (?? =370 MPa,?? =680 MPa ). Use a design factor of 2 and determine the dimensions of the square cross section for the following cases. Neglect any stress concentration. a. The rod must support this load for 100 cycles. b. The rod must support this load for 104 cycles. c. The rod must have infinite life.
1) Ball bearings support the rotating axle shown below at points A and D. The rotating axle is loaded by a stationary (non-rotating) force of F = 6.8 kN. In the drawing below, all dimensions are in mm. While the real part has fillets (r=3mm), you can assume an abrupt change in geometry for each shaft step for this problem. The axle is machined from AISI cold-drawn steel with an ultimate strength of S_u = 690 MPa, a yield strength of S_y=580 MPa, and a modulus of Elasticity of E_steel = 207 GPa. Determine the displacement at the 6.8 kN load and points B and C. 6.8 KN 30 10 250 32 B 75 38 100 10-1 -35 30
Displacement with elemental stiffness method, the rest the same.
The figure shows a cast-iron bearing block that is to be bolted to a steel ceiling joist and is to support a gravity load of 18 kN. Bolts used are M24 ISO 8.8 with coarse threads and with 4.6-mm-thick steel washers under the bolt head and nut. The joist flanges are 20 mm in thickness, and the dimension A, shown in the figure, is 20 mm. The modulus of elasticity of the bearing block is 135 GPa. (a) Find the wrench torque required if the fasteners are lubricated during assembly and the joint is to be permanent. (b) Determine the factors of safety guarding against yielding, overload, and joint separation.
1.3-2 A load of P = 3.0 kips is applied to the connection. The failure stress of the pin material is 25 ksi. Design the diameter of the pin to the nearest 1/16-inch assuming a factor of safety of 2.