A shaft is loaded in bending and torsion such that Ma = 69 N · m, Ta = 42 N · m, Mm = 52 N · m, and Tm = 31 N · m. For the shaft, Su = 700 MPa and Sy = 560 MPa, and a fully corrected endurance limit of Se = 210 MPa is assumed. Let Kf = 2.2 and Kfs = 1.8. With a diameter of 28 mm, determine the yielding factor of safety using von Mises stress to consider the possibility of static failure in the first load cycle

A shaft is loaded in bending and torsion such that Ma = 69 N · m, Ta = 42 N · m, Mm = 52 N · m, and Tm = 31 N · m. For the shaft, Su = 700 MPa and Sy = 560 MPa, and a fully corrected endurance limit of Se = 210 MPa is assumed. Let Kf = 2.2 and Kfs = 1.8. With a diameter of 28 mm, determine the yielding factor of safety using von Mises stress to consider the possibility of static failure in the first load cycle

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 3.4.8P: Two sections of steel drill pipe, joined by bolted flange plates at Ä are being tested to assess the...

See similar textbooks

Related questions

Q: Two torque as shown are applied on a compound shaft of aluminum segment and a steel. Determine the…

Q: Consider the compound shaft KDQC which is composed of a 300 mm long solid rod DQC (G = 35 GPa)…

A: Since we only solve three subparts at once, we will solve the first three. Please share the question…

Q: A solid shaft of 20 mm radius is transmitting 2.5 kW with the frequency of 50 Hz. Calculate the…

Q: Consider the compound shaft KC which is composed of a 1200mm long solid rod fitted snuggly into an…

Q: A tubular steel shaft transmits a power of P = 450 hp at a speed of 3000 rpm. Determine the maximum…

Q: The figure below show a stepped shaft in torsion. Compute the maximum shear stress at the step when…

Q: A tubular steel shaft transmits a power of P = 450 hp at a speed of 3000 rpm. Determine the maximum…

Q: n outside diameter of 70 m and :

A: here outer dia (70m) is >>>> inner dia (50mm). so the polar moment of inertia almost…

Q: Let's consider a solid circular shaft subjected to the torque loads as shown. Determine the minimum…

Q: Cantilever steel shaft is loaded by concentrated couples. M1 M2 OM3 d Given: 14-21; 1z=1,21;…

Q: The motor shown supplies 126 hp at 1340 rpm at A. Shafts (1) and (2) are each solid…

A: The power supplies by motor is The speed of motor is The diameter of shaft 1 and 2 is The modulus of…

Q: Q/A shaft supported at the ends in ball bearings carries a straight tooth spur gear at its mid span…

A: To find: The diameter of the shaft. Given: The power transmitted isP=7.5 kW103 W1 kW=7500 W. The…

Q: A solid shaft made of a ductile brass alloy is subjected to an array of loads, resulting in the…

A: Maximum shear stress theory Maximum shear stress theory is also known as Guest's theory. According…

Q: Consider the compound shaft KC which is compose of a 1200mm long solid rod fitted snuggly into an…

Q: The motor shown supplies 126 hp at 1340 rpm at A. Shafts (1) and (2) are each solid…

A: The power supply by the motor is The speed of the motor is The diameter of shafts 1 and 2 is The…

Q: The dimensions of a stepped shaft are shown below. The maximum shear stress specification of the…

A: Given data: r=2.4 mD=15 mmd=12 mm Need to determine the allowable torque.

Q: a b A B Figure P-319 and P-320

A: The calculated maximum torque that can be applied.

Q: shaft made of steel receives 7.5 kW power at 1500 r.p.m. A pulley mounted on the shaft as shown Fig.…

Q: A hollow circular shaft transmits 25 horsepower while operating at a rate of 180 rev/min. If the…

Q: A solid 1.6 in. diameter shaft is used to synchronize multiple mechanisms in a manufacturing plant.…

Q: Two designs for shaft are being considered. Both have an outside diameter of 60 mm and are 500 mm…

Q: A turbine shaft transmits 500 kW power at 900 rpm. The permissible shear stress is 80N/mm² while…

A: According to the question P = 500kW N =900rpm τ= 80m/mm2 θ=0.5 deg = 0.008725 rad G= 0.8x105 N/mm2…

Q: mpound shaft is made by ting a brass sleeve on a steel (which is considered as parallel ection). The…

Q: A drive shaft running at 2500 rpm has outer diameter of 60mm and inner diameter of 40mm. The…

Q: A steel propeller shaft is to transmit 4.5 MW at 3 Hz without exceeding a shearing stress of 60 MPa…

Q: A solid brass shaft is loaded as shown below by two torques TB- segments are LAB = 700 mm and LBC…

A: According to the given data LAB=700mm LBC=600mm TB=1100 N.m TC=300N.m τallow=50 MPa G=41 GPa We need…

Q: Question: The diameter of shaft used in the below design is 90 mm. Identical pulleys are used in the…

Q: a solid shaft is transmitting 1 mw at 240 rpm determine the daimeter of shaft exceed the mean of…

A: Shear stress produced by torque vary from zero at center of cross-section to maximum at surface in…

Q: The motor shown supplies 126 hp at 1340 rpm at A. Shafts (1) and (2) are each solid…

A: The power supplies by motor is The speed of motor is The diameter of shaft 1 and 2 is The modulus of…

Q: A solid rotating shaft made of Annealed AISI 1030 is used in a boat with a high speed as shown in…

Q: The disc clutch of an automobile is carried on a 2-inch 6-splined shaft and not to slide under load.…

A: Write the given data. D=2 inb=0.252=0.5 int=0.0752=0.15 ind=0.852=1.7 inL=1.52=3 inN=3600 rpmσY=1400…

Q: A circular-closed-tube shaft, with an outer radius of 20 mm and an inner radius of 15 mm, and 650 mm…

Concept explainers

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.

Question

A shaft is loaded in bending and torsion such that M_a = 69 N · m, T_a = 42 N · m, M_m = 52 N · m, and T_m = 31 N · m. For the shaft, S_u = 700 MPa and S_y = 560 MPa, and a fully corrected endurance limit of S_e = 210 MPa is assumed. Let K_f = 2.2 and K_fs = 1.8. With a diameter of 28 mm, determine the yielding factor of safety using von Mises stress to consider the possibility of static failure in the first load cycle.

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

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

What is the maximum power that can be delivered by a hollow propeller shaft (outside diameter 50 mm, inside diameter 40 mm, and shear modulus of elasticity 80 GPa) turning at 600 rpm if the allowable shear stress is 100 MPa and the allowable rate of twist is 3.0°/m?
A tubular shaft being designed for use on a construction site must transmit 120 kW at 1,75 Hz, The inside diameter of the shaft is to be one-half of the outside diameter. If the allowable shear stress in the shaft is 45 MPa, what is the minimum required outside diameter d?
The stepped shaft shown in the figure is required to transmit 600 kW of power at 400 rpm. The shaft has a full quarter-circular fillet, and the smaller diameter D1= 100 mm. If the allowable shear stress at the stress concentration is 100 MPa, at what diameter will this stress be reached? Is this diameter an upper or a lower limit on the value of D2?
Repeat Problem 11.2-3 assuming that R= 10 kN · m/rad and L = 2 m.
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).
Two sections of steel drill pipe, joined by bolted flange plates at Ä are being tested to assess the adequacy of both the pipes. In the test, the pipe structure is fixed at A, a concentrated torque of 500 kN - m is applied at x = 0.5 m, and uniformly distributed torque intensity t1= 250 kN m/m is applied on pipe BC. Both pipes have the same inner diameter = 200 mm. Pipe AB has thickness tAB=15 mm, while pipe BC has thickness TBC= 12 mm. Find the maximum shear stress and maximum twist of the pipe and their locations along the pipe. Assume G = 75 GPa.
A thin-walled rectangular tube has uniform thickness t and dimensions a x b to the median line of the cross section (see figure). How does the shear stress in the tube vary with the ratio = a/b if the total length Lmof the median line of the cross section and the torque T remain constant? From your results, show that the shear stress is smallest when the tube is square (ß = 1).
A stepped shaft ABC consisting of two solid, circular segments is subjected to torques T}and T2acting in opposite directions, as shown in the figure. The larger segment of the shaft has a diameter of dv- 2.25 in. and a length Lt= 30 in.; the smaller segment has a diameter d2— 1.75 in. and a length L, = 20 in. The torques are T, = 21,000 lb-in. and fz=10.000 lb-in. (a) Find reaction torque TAat support A. (b) Find the internal torque T(x) at two locations: x = L1/2 and x = L1+ L2/2. Show these internal torques on properly drawn free-body diagrams (FBDs).
Repeat Problem 10.3-15 using L = 3.5 m, max = 3 mm, and EI = 800 kN·m2.
A solid circular shaft AB of diameter d is fixed against rotation at both ends (sec figure), A circular disk is attached to the shaft at the location shown. What is the largest permissible angle of rotation 0max of the disk if the allowable shear stress in the shaft is Tallow? [Assume that a >b. Also, use Eqs. (3-50a and b) of Example 3-9 to obtain the reactive torques.]
A stepped shaft ACB having solid circular cross sections with two different diameters is held against rotation at the ends (sec figure). If the allowable shear stress in the shaft is 6000 psi, what is the maximum torque (T0) that may be applied at section C? Find (T0)max if the maximum angle of twist is limited to 0.55º. Let G = 10,600 ksi.
Let's consider a solid circular shaft subjected to the torque loads as shown Determine the minimum required diameter "D" if the shaft is made of a material having a yielding shear stress Ty = 100 MPa, for a factor of safety FS = 2. The polar moment of inertia of a solid circular cross-section is given by Jr.R¹/2. 300 mm B 600 mm 100 N.m 500 N.m 600 mm 400 N.m