The round cross-sectional bar shown below is cut from a steel with a diameter of 35 mm and has the following properties(Sut = 470 MPa, Sy = 401 MPa and fully corrected Se =170 MPa).The bar is loaded at its end with a fluctuating bending load ranges from Fmin = -425 N to Fmax = 851 N.Using a design factor of nd = 1.2, what will be the maximum length of the bar that prevents failure using Modified Goodmancriteria?your answer must be in mm.accepted answer range (+/- 5 mm)FmaxтахFmin

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Answered: The round cross-sectional bar shown…

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 3.11.5P: A square tube section has side dimension of 20 in. arid thickness of 0.5 in. If the section is used...

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A square tube section has side dimension of 20 in. arid thickness of 0.5 in. If the section is used for a 10-ft-long beam subjected to 1250 kip-in, torque at both ends, calculate the maximum shear stress and the angle of twist between the ends. Use G = 11,600 ksi.
-15 A composite beam is constructed froma wood beam (3 in. x 6 in.) and a steel plate (3 in, wide). The wood and the steel are securely fastened to act as a single beam. The beam is subjected to a positive bending moment M. = 75 kip-in. Calculate the required thickness of the steel plate based on the following limit states: Allowable compressive stress in the wood = 2 ksi Allowable tensile stress in the wood = 2 ksi Allowable tensile stress in the steel plate = 16 ksi Assume that Ew= 1,500 ksi and es= 30,000 ksi.
The round cross-sectional bar shown below is cut from a steel with a diameter of 34 mm and has the following properties (Sut = 467 MPa, Sy = 384 MPa and fully corrected Se =179 MPa). The bar is loaded at its end with a fluctuating bending load ranges from Fmin = -423 N to Fmax = 832 N. Using a design factor of nd = 1.1, what will be the maximum length of the bar that prevents failure using Modified Goodman criteria?
The round cross-sectional bar shown below is cut from a steel with a diameter of 36 mm and has the following properties (Sut = 479 MPa, Sy = 389 MPa and fully corrected Se =177 MPa). The bar is loaded at its end with a fluctuating bending load ranges from Fmin = -423 N to Fmax = 850 N. Using a design factor of nd = 1.2, what will be the maximum length of the bar that prevents failure using Modified Goodman criteria? * your answer must be in mm. * accepted answer range (+/- 5 mm)
The round cross-sectional bar shown below is cut from a steel with a diameter of 34 mm and has the following properties (Sut = 464 MPa, Sy = 406 MPa and fully corrected Se =170 MPa). The bar is loaded at its end with a fluctuating bending load ranges from Fmin = -423 N to Fmax = 832 N. Using a design factor of nd = 1.1, what will be the maximum length of the bar that prevents failure using Modified Goodman criteria? your answer must be in mm. accepted answer range (+/- 5 mm) A Fmax Fmin uzu
3. A solid round bar with diameter of 2.75-in has a groove cut to a diameter of 2.5-in, with a radius of 0.125-in. The bar is not rotating. The bar is loaded with a repeated bending load that causes the bending moment at the groove to fluctuate between 10 kip.in and 30kip.in and a reversing torque of ±10kip.in. The bar is hot-rolled AISI 1095 (sy = 66 kpsi, Sut = 120 kpsi), but the groove has been machined. Determine the number of cycles to failure.
A vertical channel 152 x 76 (see Table A-7) has a cantilever beam bolted to it as shown. The channel is hot-rolled AISI 1006 steel. The bar is of hot-rolled AISI 1015 steel. The shoulder bolts are M10 x 1.5 ISO 5.8. Assume the bolt threads do not extend into the joint. For a design factor of 2.2, find the safe force Fthat can be applied to the cantilever. 12 50 +50--50-- 26! 125 The maximum allowable force on the system Fis N.
2. A non-rotating solid round bar with diameter of 2-in has a groove cut to a diameter of 1.8-in, with a groove radius of 0.1-in. The bar is loaded with a repeated bending load that causes the bending moment at the groove to fluctuate between 0 and 25000 lbf-in. The bar is hot-rolled AISI 1095, but the groove has been machined. Determine the factor of safety guarding against first-cycle yielding and the factor of safety against fatigue failure based on: 1) Goodman; 2) ASME elliptical.
A solid round bar with diameter of 2 in has a groove cut to a diameter of 1.8 in, with a radius of 0.1 in. The bar is not rotating. The bar is loaded with a repeated bending load that causes the bending moment at the groove to fluctuate between 0 and 25 000 lbf in. The bar is hot-rolled AISI 1095, but the groove has been machined. Determine the factor of safety for fatigue based on infinite life and the factor of safety for yielding. Plars & .
A solid round bar with diameter of 2 in has a groove cut to a diameter of 1.8 in, with a radius of 0.1 in. The bar is not rotating. The bar is loaded with a repeated bending load that causes the bending moment at the groove to fluctuate between 0 and 25 000 lbf in. The bar is hot-rolled AISI 1095, but the groove has been machined. Determine the factor of safety for fatigue based on infinite life and the factor of safety for yielding. .
4) 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, and all geometry changes (steps in the diameter shaft) have a fillet radius of 3 mm. The axle is machined from AISI cold-drawn steel with an ultimate strength of S_u = 690 MPa and a yield strength of S_y= 580 MPa. Calculate the safety factor at the 6.8 kN load and points B and C, which experience moderate bending moments with a geometric feature that causes a stress concentration. Determine the number of cycles to failure of this part. 30 -10 -250 32 B 6.8 KN 75 -38 100- с 125 10 35 D 30
The figure shows a section of a shaft made of annealed steel with yield strength of 600 MPa and ultimate tensile strength of 700 MPa. Diameters of the shaft are D=30 mm and d=20 mm. Fillet radius of the shoulder section is 2.5 mm. The shaft is rotating and subjected to steady bending moment of M=51 Nm, steady torsion of T=58 Nm and steady axial load of F=14 kN. The operating temperature of the shaft is 20 ᵒC and reliability is 99%. The shaft has ground surface. Calculate the alternating component of the normal stress (in MPa). (If there is no alternating component of the normal stress, enter "0" in the answer box)

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