Concept explainers
In the figure shown, shaft A, made of AISI 1020 hot-rolled steel, is welded to a fixed support and is subjected to loading by equal and opposite forces F via shaft B. A theoretical stress-concentration factor Kts of 1.6 is induced in the shaft by the
(a) For shaft A, find the factor of safety for infinite life using the modified Goodman fatigue failure criterion.
(b) Repeat part (a) using the Gerber fatigue failure criterion.
Problem 6–56
Trending nowThis is a popular solution!
Chapter 6 Solutions
Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
Additional Engineering Textbook Solutions
Heat and Mass Transfer: Fundamentals and Applications
DESIGN OF MACHINERY
Degarmo's Materials And Processes In Manufacturing
Applied Statics and Strength of Materials (6th Edition)
HEAT+MASS TRANSFER:FUND.+APPL.
Statics and Mechanics of Materials
- A steam boiler, d meter in diameter and L m in length, is made of hard steel, generates steam at a gauge pressure of p N/mm2 . Assuming the efficiency of the riveted joints as e %. It is closed at both ends by flat cover plates which are made of Mild steel and freely supported. 1. Determine the wall thickness of the cylinder if the ultimate tensile stress = A MPa and factor of safety = B. 2. Calculate the minimum thickness necessary of the cover plates with uniformly distributed load, if the the yield point stress is C MPa and factor of safety of F. 3. Also find the increase in internal diameter, the increase in length and the increase in volume. Take E = 200 kN/mm2 and u = 0.3. d= 1.1 L= 1.54 ; p= 5.68 ; A= 328 B= 4.6 ; C= 494 ; F = 3 e= 69arrow_forwardCylinder Heads A steam boiler, d meter in diameter and L m in length, is made of hard steel, generates steam at a gauge pressure of p N/mm?. Assuming the efficiency of the riveted joints as e %. It is closed at both ends by flat cover plates which are made of Mild steel and freely supported. 1. Determine the wall thickness of the cylinder if the ultimate tensile stress = A MPa and factor of safety = B. 2. Calculate the minimum thickness necessary of the cover plates with uniformly distributed load, if the the yield point stress is C MPa and factor of safety of F. 3. Also find the increase in internal diameter, the increase in length and the increase in volume. Take E = 200 kN/mm² and u = 0.3. d A В C F e 1.18 1.65 5.76 336 5.4 476 2.6 73arrow_forwardA circular shaft of diameter 120 mm is welded to a rigid plate by a fillet weld of size 6 mm. If a torque of 8 kNm is applied to the shaft, what is the maximum stress in the weld?arrow_forward
- A 50 inches diameter storage tank is used to store air at an internal pressure of 625 psi with a FS = 4.5 based on ultimate strength. If the welded joints have a joint strength efficiency of 80% and the steel used to create the tank hasan equivalent strength similar to C1118,a. find a suitable plate thickness of the tank. Compare the stresses for both diametral section and longitudinal sectionb. Using the thickness solved in (a), determine the pressure to cause actual failure to the vesselarrow_forwardA 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.arrow_forwardAn AISI 1035 CD steel tube has an OD = 45 mm and a wall thickness of 5 mm. What maximum external pressure can this tube withstand if the largest principal normal stress is not to exceed 80 % of the minimum yield strength of the material? Assume ?? = 0.arrow_forward
- machined to dimensions. It is welded to a fix support at C and subjected to a loading by fluctuating Question 1 The assembly consists of two sections of steel shafts made off AISI 1030 Hot-rolled steeljand force E as shown below. Force F fluctuates between 100 N and 700 N. KR (both) Due to the geometry of the shafts, a fatique stress concentration factor of 1.4 and a fatigue shear stress concentration factor is 1.1 are induced. The reliability percentage is 99.9%. Shait AB hás a length of 400 mm and a diameter of 20 mm. Shaft BC has a length of 500 mm and a diameter of 30 mm. By considering the stresses at support C: 1. Calculate the mean and alternating values of the force F 2. Calculate the mean and alternating moments and torques at C 3. Calculate the endurance limit . 4. Find the factor of safety by using DE-ASME EIliptic failure theory B Le=500 mm dac 30 mm CAn=400 mm dan 20 mm 150 mm 200 mm +965 55842901 Fekry@kitechnology.org hnolegyarrow_forwardFind factor of safety if the Ultimate Stress of a ductile material is 250.94 MPa. If the material is subjected to a loading condition that generates the working stress of 151.27 MPaarrow_forwardThe figure gives the cross-section of a grade 25 cast-iron pressure vessel. A total of N bolts are to be used to resist a separating force of 150 kN. (a) Determine kb, km, and C. (b) Find the number of bolts required for a load factor of 2 where the bolts may be reused when the joint is taken apart. (c) With the number of bolts obtained in part (b), determine the realized load factor for overload, the yielding factor of safety, and the load factor for joint separation. Use (SI) units as it appliesarrow_forward
- The squared and grounded ends of a safety valve with 7.5 coils. The coils measure 105 mm in diameter on the outside and 17 mm wire diameter. It measures 210 mm in free length. 82 Gpa is the modulus of rigidity. Calculate the initial compression length of the wire required to maintain a boiler pressure of 1.35 Mpa on a 30 mm diameter valve seat. (Draw the diagram)arrow_forwardA steel tubing has a 1.5-in outside diameter and a 1.210-in inside diameter. It is made of AISI 1020 annealed steel having a tensile strength of 57,000 psi. What would be the safe working pressure for this tube assuming a factor of safety of 8?arrow_forward4. Determine the design stress for bolts in a cylinder cover where the load is fluctuating due to gas pressure. The maximum load on the bolt is 50 kN and the minimum is 30 kN. The load is unpredict- able and factor of safety is 3. The surface of the bolt is hot rolled and the suface finish factor is 0.9. During a simple tension test and rotating beam test on ductile materials (40 C 8 steel annealed), the following results were obtained : Diameter of specimen =12.5 mm; Yield strength= 240 MPa; Ultimate strength= 450 MPa; Endurance limit = 180 MPa. [Ans. 65.4 MPa]arrow_forward
- Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning