For the solid shaft, 1 inch in diameter, subjected to bending and torsion, find the principal stresses, maximum shear stress and factors of safety using the maximum shear stress (Tresca) and distortion energy (von Mises) criteria if the yield strength is also 50,000 psi:

For the solid shaft, 1 inch in diameter, subjected to bending and torsion, find the principal stresses, maximum shear stress and factors of safety using the maximum shear stress (Tresca) and distortion energy (von Mises) criteria if the yield strength is also 50,000 psi:

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 3.3.19P: A solid brass bar of diameter d = 1.25 in. is subjected to torques T1as shown in part a of the...

See similar textbooks

Related questions

Q: A solid shaft is required to transmit 120 kW power at 200 rpm. Find the suitable diameter of the…

A: Power, P = 120 kW Speed, N = 200 rpm Tmax = 1.2Tmean Shear stress, = 70 N/mm2…

Q: A hollow shaft is required to transmit 700 kW at 110 r.p.m., the maximum torque being 20% greater…

Q: Find the shear stress in 10 mm diameter shaft subjected to 2 kW power transmission at 100 rpm.

A: Given data:

Q: A hollow aluminium tube used in a roof structure has an outside diameter 104mm and an inside…

A: A) Angle of twist for the given max shear stress in a hollow shaft: The angle of twist of a hollow…

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

Q: For the cross-section shown below, computer the rate of twist and the shear stress if a torque of…

A: Torsion Torsion is a twisting of object when torque is applied on it. Torque Torque is a…

Q: 2 A hollow simple supported shaft 3m made of steel with di/do of 0.6. The shaft is subjected to a…

Q: yield strength of oy 750 MPa. Determine the design factor of safety using Tresca and von Mises…

A: DefinitionTersca Theory:A ductile material fails or yields when its maximum shear stress equals or…

Q: A horizontal shaft of 75 mm diameter projects from a bearing, and in addition to the torque…

A: Shear stress is stress which produces due to pressure or forces which does not exceed the elastic…

Q: : Q2 /A hollow steel shaft transmits 200 kw of power at 150 rpm .The total angle of twist in length…

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: Obtain a preliminary design of the shaft by performing the following tasks. Note that forces Ti=2880…

A: GIVEN: Force T1= 2880 NT2= 432 N Mmax=698.3 Nm @ x=230 mm torque T=612 Nm Shaft material: AISI…

Q: 1 of 1 -1.5m- Q: Aluminum shaft of 30mm diameter and 1.5m lenght is subjected to a torque of 500N.m…

Q: Example 1 A shaft is transmitting 100 kW at 160 rp.m. Find a suitable diameter for the shaft, if the…

A: Stress: When a component or a part is subjected to any external force, a resisting force will be…

Q: Q2 /A hollow steel shaft transmits 200 kw of power at 150 rpm .The total angle of twist in length of…

Q: Q3: Find the maximum stress developed in a stepped shaft subjected to a twisting moment of 100 Nm as…

A: Given-Data:- Twisting Moment =100Nm Bending moment =150Nm To-Find:- Maximum stress developed for…

Q: shows a round bar subjected to a bending load F = 0.80 kN, and axial tension P = 7.2 kN, and a…

Q: A shaft 450 mm diameter supports a 15000 kg steel propeller of the ship. The propeller shaft can be…

A: GIVEN: 450 mm =diameter mass=15000 kg 2 m =length N=100 rpm speed of the ship = 17.2 Knots…

Q: A shaft is transmitting 100 kW at 160 r.p.m. Find a suitable diameter for the shaft, if the maximum…

A: Given, Power transmitted by shaft = P = 100 kW = 100 x 103 W Speed of shaft = N = 160 rpm Relation…

Q: Question 3 A hollow steel shaft transmits 600 kW at 500 rpm. The maximum shear stress is 62.4 MPa.…

A: Given:Power transmitted, P=600 kWSpeed, N=500 rpmMaximum shear stress, ζmax=62.4 MPaTmax=1.2*Tm

Q: a shaft 80mm diameter transmits power at maximum shear stress of 63 mpa. find the length of 20mm…

A: given; →diameter(d)=80mm→for power transmission on shaft shear…

Q: hollow steel shafts transmits 200kW of power at

A: Given Data : Speed(N)=150 rpm Power(P)=200 KW Length(L)=5 m Angle of twist(A) =30 Permissible…

Q: A rotary shaft carries distributed load of 250 w/m with a long 3m. The shaft transmits 35 KW at 290…

A: Given: The value of the uniformly distributed load is, w=250 N/m. The length of the shaft is, L=3…

Q: A shaft is transmitting 100 kW at 160 rpm. Find a suitable diameter for the shaft if the maximum…

A: given : P = 100 kW N = 160 rpm Tmax = 25% more by mean Torque T ∴ Tmax = 1.25T τ = 70 Mpa

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

4. For the solid shaft, 1 inch in diameter, subjected to
bending and torsion, find the principal stresses,
maximum shear stress and factors of safety using the
maximum shear stress (Tresca) and distortion energy
(von Mises) criteria if the yield strength is also 50,000 psi:
M = 300 in-lb
T = 500 in-lb

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: Given data.

VIEW

Step 2: Calculations for principal stresses.

VIEW

Step 3: Calculations for maximum shear stress.

VIEW

Step 4: Calculations for factor of safety.

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 5 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

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?
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?
Solve the preceding problem for the following data: diameter LO m, thickness 48 mm, pressure 22 MPa, modulus 210 GPa. and Poisson's ratio 0.29
The propeller shaft of a large ship has an outside diameter 18 in. and inside diameter 12 in,, as shown in the figure. The shaft is rated for a maximum shear stress of 4500 psi. If the shaft is turning at 100 rpm, what is the maximum horsepower that can be transmitted without exceeding the allowable stress? If the rotational speed of the shaft is doubled but the power requirements remain unchanged, what happens to the shear stress in the shaft?
A full quarter-circular fillet is used at the shoulder of a stepped shaft having diameter D2= 1.0 in. (see figure), A torque T = 500 lb-in. acts on the shaft. Determine the shear stress at the stress concentration for values as follows: D1= 0.7,0.8, and 0.9 in. Plot a graph showing versus D?
The hollow drill pipe for an oil well (sec figure) is 6,2 in. in outer diameter and 0.75 in. in thickness. Just above the bit, the compressive force in the pipe (due to the weight of the pipe) is 62 kips and the torque (due to drilling) is 185 kip-in. Determine the maximum tensile, compressive, and shear stresses in the drill pipe.
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.
A thin tubular shaft with a circular cross section (see figure) and with inside diameter 100 mm is subjected to a torque of 5000 N · m. If the allowable shear stress is 42 MPa, determine the required wall thickness t by using (a) the approximate theory for a thin-walled tube and (b) the exact torsion theory for a circular bar.
When drilling a hole in a table leg, a furniture maker uses a hand-operated drill (see figure) with a bit of diameter d = 4.0 mm. If the resisting torque supplied by the table leg is equal to 0.3 N · m, what is the maximum shear stress in the drill bit? If the allowable shear stress in the drill bit is 32 MPa, what is the maximum resisting torque before the drill binds up? If the shear modulus of elasticity of the steel is G = 75 GPa, what is the rate of twist of the drill bit (degrees per meter)?
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).
A torque T is applied to a thin-walled tube having a cross section in the shape of a regular hexagon with constant wall thickness t and side length b (see figure). Obtain formulas for the shear stress rand the rate of twist
A solid brass bar of diameter d = 1.25 in. is subjected to torques T1as shown in part a of the figure. The allowable shear stress in the brass is 12 ksi. What is the maximum permissible value of the torques T1? If a hole of diameter 0.625 in. is drilled longitudinally through the bar, as shown in part b of the figure, what is the maximum permissible value of the torques T2? What is the percent decrease in torque and the percent decrease in weight due to the hole?