A cylindrical steel bar 8 mm in diameter is loaded 1000 cycles per day with a load of 15560 N. How long until fatigue failure takes place? Note: stress = force/area %3D 500 450 400 350 Steel Allby 300 250 200 150 Brass Alloy 100 50 1.00E-04 1.00E-05 1.00E+06 1.00E-07 1.00E-08 1.00E-09 1.00E-10 Cycles to Failure, N The bar should not fatigue. , The bar will fail in one cycle. ) 100 days ) 1000 days

A cylindrical steel bar 8 mm in diameter is loaded 1000 cycles per day with a load of 15560 N. How long until fatigue failure takes place? Note: stress = force/area %3D 500 450 400 350 Steel Allby 300 250 200 150 Brass Alloy 100 50 1.00E-04 1.00E-05 1.00E+06 1.00E-07 1.00E-08 1.00E-09 1.00E-10 Cycles to Failure, N The bar should not fatigue. , The bar will fail in one cycle. ) 100 days ) 1000 days

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 1.7.1P: A high-strength steel bar used in a large crane has a diameter d = 2.00 in. (sec figure). The steel...

See similar textbooks

Similar questions

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?
Three round, copper alloy bars having the same length L but different shapes are shown, in the figure. The first bar has a diameter d over its entire length, the second has a diameter d over one-fifth of its length, and the third has a diameter d over one-fifteenth of its length. Elsewhere, the second and third bars have a diameter Id. All three bars are subjected to the same axial load P. Use the following numerical data: P = 1400 kN, L = 5m,d= 80 mm, E= 110 GPa. and v = 0.33. (a) Find the change in length of each bar. (b) Find the change in volume of each bar.
The 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?
An 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.
A 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.
A cylindrical steel bar 8 mm in diameter is loaded 1000 cycles per day with a load of 15560 N. How long until fatigue failure takes place? Note: stress = force/area Group of answer choices The bar should not fatigue. The bar will fail in one cycle. 100 days 1000 days
An ASTM cast iron has minimum ultimate strengths of 32 kpsi in tension and 95 kpsi in compression. Find the factors of safety using Coulomb Fragile Mohr (CMF) and Modified Mohr (MM) theories for the following stress state. σx = −3 kpsi, σy = −9 kpsi, τx y = −4 kpsi
A 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.
Find the equivalent stresses at Points 1 and 2 of the element with given geometry and loading conditions according to the Maximum shear stress hypothesis and the Maximum strain energy hypothesis. Shaft diameter: 20 mm, Shaft Length 120 mm, F1 = 750N, F2 = 3000N, Mb = 2400 N.mm. Steel if St37 and Safety coefficient is 2 If taken, will this stick work safely under these operating conditions? (Yield of given steel Strength 225 Mpa, Tensile strength 370 Mpa)
A 1.64 m long rectangular AISI 1020 cold rolled steel bar (10 mm x 25 mm) is subject to a torsional load of 76.6 N·m. What is the safety factor against yielding? (Use Shigley for material properties.)
A circular bar - shown below, made of AISI 1040 OQT 1300 steel (SU = 600 MPa), is loaded with an axial tensile loading P. Calculate the modified endurance strength (SE) and the modified fatigue strength (SF) for the bar if D = 36 mm, d = 30 mm, and r = 2.4 mm. Use the number of cycles to fracture to be 5 × 105. Assume that the surface finish factor, kf, is 0.85, the size factor, kS, is 0.85, and the notch sensitivity factor, qn, is 0.75. Use the following equations if needed,
A 759-lb force is applied to a rotating tool steel bar at a frequency of 3000 cycles/minute. The bar has a diameter of 1.000 in. and is 12.00 in. long. The fatigue curve for the steel used in the bar is shown below. Calculate the time in minutes to failure given ±σ=32FLπd3.