1. A solid circular steel rod is subjected to a tensile force P = 750kN and a bending moment M = 2kN-m. The steel has a yield strength of oyp = 265 MPa. Using the Maximum Distortion Energy Theory and a safety factor of n = 1.5, determine the minimum allowable diameter, d, of the rod in mm.

1. A solid circular steel rod is subjected to a tensile force P = 750kN and a bending moment M = 2kN-m. The steel has a yield strength of oyp = 265 MPa. Using the Maximum Distortion Energy Theory and a safety factor of n = 1.5, determine the minimum allowable diameter, d, of the rod in mm.

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 3.3.12P: A propeller shaft for a small yacht is made of a solid steel bar 104 mm in diameter. The allowable...

See similar textbooks

Related questions

Q: 2m 1.5 m 0.5 m 0.5 m 56m y A a.) A 1.5 m length of 30mm diameter solid steel bar fixed at one end is…

A: Given: The length of solid steel bar, L = 1.5 m The diameter of solid steel bar, d = 30 mm = 0.03 m…

Q: 1) Determine the minimum factor of maximum-shear-stress (MSS) theory and the distortion-energy (DE)…

Q: 3. A bar is subjected to fluctuating tensile load from 20 kN to 100 kN. The material has yield…

A: solutionFmin=20 KNFmax=100 KNyield strength σy=240 MPaendurance limit σe=160 MPafactor of safty…

Q: A solid circular shaft of uniform cross section is to be fixed at one end and free at the other end.…

A: Given:T=877 N.mN=2.2Syt=410 MPaSys=520 MPa

Q: A solid shaft is subjected to a twisting moment of 350 kNm. If the angle of twist is 5° per meter of…

Q: he bar shown made from steel (Sut = 130 ksi) is subjected to a fully reversed bending moment of…

A: Endurance limit The fatigue or endurance limit of a material is defined as the maximum amplitude of…

Q: H.W. Theories Of Failure A cylindrical shaft made of steel of yield strength ôy MPa is subjected to…

A: Given: Yield strength= δyBending moment=M KN.mPower=P KWr.p.m.=NFactor of safety=F.S.E=210…

Q: A ductile hot-rolled steel bar has a minimum yield strength in tension and compression of 350 MPa.…

Q: The driveshaft of an automobile is being designed to transmit 233 kW at 3401 rpm. Determine the…

Q: A hollow shaft with outside diameter of 135 mm and wall thickness of 8 mm transmits 182 kW at 400…

A: L=5m 1psi= 6894.76 N/m2

Q: A ductile hot-rolled steel bar has a minimum yield strength in tension and compression of 350 MPa.…

A: Given data: Yield strength of the material, σy=350 MPa=50.76 kpsi Principal stresses can be…

Q: The torsional deformation of a steel shaft is to be 1° in a length of 600 mm. The design shear…

Q: A cold drawn steel rod of circular cross-section is subjected to a variable bending moment of 565…

A: Calculate the mean bending moment. Mm=Mmax+Mmin2 Here, Mm is the mean bending moment, Mmax is the…

Q: A ductile hot-rolled steel bar has a minimum yield strength in tension and compression of 350 MPa.…

Q: A thin-walled cylinder of diameter 40 mm is subjected to an internal pressure of 5 N/mm² and a…

Q: (Q6) A solid spring steel shaft in small engine with 5hp at 3000rpm is used as a torque measuring…

Q: 12. A cold drawn steel rod of circular cross-section is subjected to a variable bending moment of…

Q: Solid steel wrench (shown in Fig. 4) has a radius of 0.4 cm. and a length of 0.2 m. What is the…

A: Given The radius of steel wrench is r=0.4 cm. The length of steel wrench is l=0.200 m. The…

Q: . A shaft is subjected to a constant torque of 2,260 kN-m. The ultimate strength and yield strength…

Q: hardest point in the embedment A or B of the element shown in the figure. This bar is made of hot…

Q: A steel rod is subjected to a reversed axial load of 180 kN. Find the diameter of the rod for a…

Q: A link of a valve gear has to be curved in one plane, for the sake of clearance. Estimate the…

Q: The principal stresses at a point inside a solid object are ơ1 = 100 MPa, 02= 100 MPa and 03= 0 MPa.…

Q: Compute the torsional deflection in degrees of a 110 mm diameter, 1.4 meter long shaft subjected to…

A: GIVEN DATA- D=110mm T=3*10^6Nmm G=83000 N/mm2 WE HAVE TO CALCULATE TORSIONAL DEFLECTION IN DEGREE

Q: A circular cross section shaft has a diameter of d = 45 mm, is subjected to a combined state of…

Q: The driveshaft of an automobile is being designed to transmit 234 kw at 3167 rpm. Determine the…

Q: Questions 2: A solid circular shaft has a diameter d and subjected to a bending moment M and torque…

A: Solution:

Q: A hollow shaft with outside diameter of 165 mm and wall thickness of 8 mm transmits 192 kW at 400…

Q: A shaft made of steel has the following minimum properties Se = 264 MPa, Sy = 413 MPa, and Sut = 536…

Q: Read and Solve carefully please Write clearly and Box the Final answer Express your answer to 3…

Q: 1. A shaft made of steel having an ultimate strength of Su is finished by grinding the surface. The…

Q: A thin cylindrical shell with D/t ratio equal to 40 subjected to an internal pressure of 2 N/mm. The…

Q: The figure shows a section of a shaft made of annealed steel with yield strength of 600 MPa and…

A: Given: The yield strength of material, Sy = 600 MPa The ultimate strength of the material, Su = 700…

Q: A bar AISI 1035 steel forged and heat treated with minimum yield strength of 570MPa is subjected to…

A: Given Data The yield strength is: σyt=570 MPa The bending moment is: M=280 N·m Torsion moment is:…

Q: The bar shown made from steel (Sut = 70 ksi) is subjected to a fully reversed bending moment of 1000…

A: When external load acting on a component is not static, but varying in magnitude with respect to…

Q: Gears b and c have diameters of 10 cm and 4 cm, respectively. The maximum shear stress supported by…

Q: A cylindrical shaft made of steel of yield strength 700 MPa is subjected to static loads consisting…

A: Given that: For the cylindrical shaft, yield stress = 700 MPa Bending moment = 10 kN-m Torsional…

Q: A cylindrical shaft made of steel of yield strength 700 MPa is subjected to static loads consisting…

Q: Question 4 A shaft of 75 mm diameter fails (experiences the onset of yield) under a bending moment…

Q: A winch raises a 60# bucket of paint, as shown. The main shaft of the winch is simply supported by…

Q: A steel rod of diameter D = 50 mm has a tensile yield strength of 345 MPa supports an axial load P =…

Question

Please full solution with big and clear handwriting

1. A solid circular steel rod is subjected to a tensile force P = 750kN and a bending moment M = 2kN-m.
The steel has a yield strength of oyp = 265 MPa. Using the Maximum Distortion Energy Theory and a
safety factor of n = 1.5, determine the minimum allowable diameter, d, of the rod in mm.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

A propeller shaft for a small yacht is made of a solid steel bar 104 mm in diameter. The allowable stress in shear is 48 MPa, and the allowable rate of twist is 2.0° in 3.5 meters. (a) Assuming that the shear modulus of elasticity is G = 80 GPa, determine the maximum torque that can be applied to the shaft. (b) Repeat part (a) if the shaft is now hollow with an inner diameter of 5d18. Compare values to corresponding values from part (a).
The material of a certain transmission shaft uses AISI 1030 HR, its yield strength is 260 MPa, the transmission torque of this shaft is 160 N·m, and it is subjected to a uniform axial tension of 0.5 kN. Please calculate according to the Distortion energy theory. The minimum shaft diameter with a safety factor n of 2.5 (to 2 decimal places).
An automobile engine develops a maximum torque of 162Nm. The low gear ratio of transmission is 2.75, while the back axle ratio is 4.25. The effective wheels radius is 0.325m and the co-efficient of friction between the tyre and the road surface is 0.6. If the permissible shear stress is 32373 X 104Pa. Determine the maximum shaft diameter. Assuming that the load is nearly torsional. What is maximum load permissible on each wheel?
(30%) A circular aluminum tube subjected to T pure torsion by torques T has an outer radius r2 equal to 2 times the inner radius r1. (a) If the maximum shear strain in the tube is measured as 500x10-6 rad, what is the shear strain y1 at the inner surface? (b) If the maximum allowable rate of twist (0) is 0.15°/m and the maximum shear strain is to be kept at 500x10-6 rad by adjusting the torque T, what is the minimum required outer radius (r2 )min?
The figure (attached) shows a belt pulley mechanism which is loaded statically. The shaft is made of AISI 1030 steel with the yield strength of 480 MPa. Using distortion energy theory (DET), determine the diameter of the shaft with a factor of safety of 2.
Gears b and c have diameters of 10 cm and 4 cm, respectively. The maximum shear stress supported by the bars is 550 kgf/cm^2 and the material from which they are manufactured has a shear modulus G = 8x10^5 kgf/cm^2. Determine: The diameter of each bar, such that the maximum shear stress is not exceeded. The torsional rotation of point d. T = 12 Ton-m
A hollow shaft with outside diameter of 135 mm and wall thickness of 8 mm transmits 182 kW at 400 rpm. What must be the angular deflection of the shaft in degrees if the length is 5 m? The material of the shaft has a shearing strength of 210 MPa. Let G = 11.5 x 106 psi.
A machine shaft supported on bearings 2 m apart is to transmit 180 KW at 200 rpm while subjected to a reversed bending load of 5000 N located at a distance of 60 cm from one bearing. Allow a shear stress of 40 MPa and a bending stress of 80 MPa, determine the shaft diameter for steady loading if km = 1.5 and ks = 1.0. note: answer must be in mm
A shaft with a diameter of 50 mm and a length of 1300 mm with a safe shear yield strength of 20 N / mm2 is subjected to 565 Nm of torque. What is the torsion angle and applicability? (G = 80GPa)
A solid circular rod of diameter d undergoes a bending moment M = 113 Nm inducing a stress σ = 16M/ (πd3). Using a material strength of 172.4 MN/m2 and a design factor of 2.5, determine the minimum diameter of the rod. Using Table 1, select a preferred fractional diameter and determine the resulting factor of safety
A solid circular shaft has a diameter of d mm and is made from steel, which fail when tested in simple tension test at a stress of 150 MPa. The shaft was subjected by bending moment and torque which are 22.2 kNm and 44.4 kNm respectively. Calculate the minimum allowable shaft diameter, d according to:- (a) Tresca failure criterion (b) Von Mises theory of elastic failure
An aluminum thin‐walled tube of hollow rectangular cross‐section, Figure 1,is subjected to a torque of magnitude, T = 15360 N.m. If the tube lengthis, L = 1 m , and the shear modulus of aluminum is, G = 28 GPa.1. Determine the total angle of twist of the one‐meter long tube.2. Determine the shear stresses on the walls of the tube cross‐section.Where does the maximum shear stress occur?