Home Work: A cantilever shaft (d-20mm) is subjected to tensile load of (P-8 kN) and bending force of (F-0.55 kN) and torque of (30 N.m). Find the principal stresses and maximum shearing stress and show all results on complete sketch. F=0.55kN 100mm T=30N.m P=8kN

Home Work: A cantilever shaft (d-20mm) is subjected to tensile load of (P-8 kN) and bending force of (F-0.55 kN) and torque of (30 N.m). Find the principal stresses and maximum shearing stress and show all results on complete sketch. F=0.55kN 100mm T=30N.m P=8kN

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 3.7.3P: A motor driving a solid circular steel shaft with diameter d = 1.5 in, transmits 50 hp to a gear at...

See similar textbooks

Related questions

Q: The teeth of the gear arrangement have Gear A=40teeth, Gear B=70 teeth and Gear C= 50teeth, a pinion…

A: Given data: TA=40TB=70TC=50m=5 mm Need to determine the pitch diameter of the gear C.

Q: A reheat cycle with two stages of reheating is executed, with steam expanding initially from 90 bar…

A: T-S diagram

Q: Saturated vapor enters the turbine at 8.0 MPa and exits 0.008 MPa. The turbine has an isentropic…

A: Answer: The electrical power produced is 21507.3 kW.

Q: Find the centroidal coordinates of the plane region shown:

Q: Determine the exergy of 1 m³ of complete vacuum.

A: We must calculate the exergy of 1m3 of complete vacuum in this case. We have,…

Q: 8.20 A quantity of air initially at 1 bar, 300 K undergoes two types of interactions: (a) it is…

A: Given that, Pressure of air, P1=1 bar,Temperature of air, T1=300 K,

Q: A car's roof has two tubes mounted to it. One tube is pointing to the other. The one in the front of…

A: Given:s=0.62h=3 in

Q: Completely solve and box the final answers. Write legibly Draw the shear and bending moment…

Q: Determine the resultant couple that is equivalent to the three-couples acting on the gear box given…

Q: Q1: The weldment shown in the figure is subjected to a force F. The hot-rolled steel bar has a…

A: Use throat thickness concept to solve this prob, Find allowable F?

Q: 8.20 A quantity of air initially at 1 bar, 300 K undergoes two types of interactions: (a) it is…

A: At 1 bar, 300 K, we know that an amount of air experiences two r=types of interactions.(a) Paddle…

Q: Tank build bro. Shown is a pressurized water vessel. What is the speed of the water exiting at point…

A: Cross-sectional area of A, AA=3.75*ABThe pressure at A, PA=4*PBDensity of water, ρ=997 kg/m3

Q: A spherical shell with Do = inches and Di = inches contains a certain gas at a pressure of 1200 psi.…

Q: A uniformly distributed load of 2.2 KN/m is supported by two beams arranged as shown below. Beam AB…

Q: P₁ 290kN P₂ 210KN y-axis Î P3 30 B Ө 250KN 30° 40° B x-axis A 0.5L₁ PI + P2 L₁ 2m P3 C 4₁ + L₂ L₂…

Q: 7. Calculate the internal size of bore to be drilled on a workpiece before cutting a ½ inch internal…

A: Given data as per the question Internal thread =0.5 in LetD−Hole diameterTPI−thread per…

Q: The piston displacement of an air compressor is 1200 liters per minute. Its bore and stroke are 12…

Q: A body of mass 20 kg falls freely in a vacuum. It has fallen through a vertical distance of 50m. The…

A: When the mass falls freely in the vacuum, there is no frictional force on the body. Hence, all the…

Q: Torsion Load 100 mm- Shafts ABC and DEF are made of A36steel. Shaft ABC is connected to an…

A: Given: The motor power, P = 2 kW The speed of shaft ABC, N = 62 rpm The factor of safety of shaft…

Q: A wood beam carries the loading shown in the figure. Calculate the magnitude of the bending stress…

Q: Question 4: Consider laminar flow through a very long straight section of round pipe. It is shown…

Q: A square block weighing 1.1 kN and 250 mm on an edge slides down an incline on a film of oil 6…

Q: A 4x3-13 1750 rpm centrifugal pump equipped w/ an 11-inch diameter impeller requires 14.3bhp when…

Q: The flanged steel cantilever beam with riveted bracket is subjected to the couple and two forces…

A: When a push or pull applied on the object, then the state of the object change from the motion to…

Q: spring

A: Lo=120 mmOD=50 mmd=3.4 mm D=OD-d=50-3.4=46.6 mm a) By counting Nt=10.5 turns .Since the ends are…

Q: 8

Q: he water flows through a pipeline 1.2m diameter at a velocity of 3m/s which bifurcates at a…

A: Given:d1=1.2 mv1=3 m/sd2=0.08 mQ2=13Q1v3=2.4 m/s

Q: A reheat steam cycle has 13500 kPa throttle pressure at the turbine inlet and 2800 kPa reheat…

Q: Q2: Consider the steel spring in the illustration. (a) Find the pitch, solid height, and number of…

A: Dear student, we are suppose to solve only 3 sub parts. Please post other parts as a separate…

Q: Saturated vapor enters the turbine at 8.0 MPa and exits 0.008 MPa. The turbine has an isentropic…

A: This problem is related to the thermal powerplant based on the Rankine cycle. the turbine is a…

Q: Determine the combined moment about O due to the weight of the mailbox and the cross member AB. The…

Q: A water tower supplies water through the plumbing in a house. A 3.50-cm-diameter faucet in the house…

Q: Determine the manometer reading as shown in the figure, when the velocity of fluid flowing through a…

Q: "I What is the ignition advance ? 3) Why ignition advance is required for SI engine operation?

A: Ignition advance- It is advancement in the timing of the spark which is released near the end of the…

Q: A flashed steam geothermal power plant is located where underground hot water is available as a…

Q: A space to be air-conditioned has a sensible heat load of 34.9 hp and a latent heat load of 6.97 hp.…

Q: A 20-cm-diameter, 60-cm-high vertical cylindrical container, shown in side Figure, is partially…

Q: A sluice gate is opened in order to allow flow from upstream to downstream as shown in Figure 2.…

Q: A Carnot engine rejects 50% of the heat absorbed from a source to a sink at 27°C. What is the source…

A: Given data: TL=27°C=300 KQL=0.5QH Need to determine the source temperature.

Q: Problem 2- Determine the manometer reading as shown in the figure, when the velocity of fluid…

Q: Q3 Block A movies on a roller along inclined surface and Connected to Block B by a link. Determine…

Q: A car's roof has two tubes mounted to it. One tube is pointing to the other. The one in the front of…

A: Given data The manometer is filled with a liquid with specific gravity = 0.62 The height difference…

Q: A wood beam carries the loading shown in the figure. calculate the magnitude of the bending stress…

Q: OnSTEDDY TOW 6-Natural and Forced flow

A: This question is based on the concept of flow of fluid in fluid mechanics.

Q: Refrigerant-134a enters the condenser of a residential heat pump at 800 kPa and 35°C at a rate of…

Q: A diesel component steel plate has a surface area of 200 in2 with a thickness of 0.002 in. Determine…

A: Given data as per the question Surface area of plate=200 in2=1290.32 cm2thickness =0.002 in=0.00508…

Q: If the pressure of water at the inlet to a pipe of length 300m and diameter 0.2m is 104 kN/m2 , then…

Q: A motor transmitting 60 kW at 600 rpm drives a solid steel shaft ABC with a diameter of 50 mm. The…

Q: 9. Write the formula for calculating spindle speed in revolution per minute for milling machine,…

A: GIVEN DATA- A MILLING OPERATION QUESTION ASKED WE HAVE TO WRITE SPINDLE SPEED RELATION

Q: 4. If the pressure of water at the inlet to a pipe of length 300m and diameter 0.2m is 10¹kN/m²,…

A: Calculated the maximum rate at which power can be transmitted at the outlet from the pipe.

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

Home Work: A cantilever shaft (d-20mm) is subjected to tensile load of (P-8 kN)
and bending force of (F-0.55 kN) and torque of (30 N.m). Find the principal
stresses and maximum shearing stress and show all results on complete sketch.
F=0.55kN
100mm
T=30N.m
P=8kN

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 2 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?
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?
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?
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.
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 motor driving a solid circular steel shaft with diameter d = 1.5 in, transmits 50 hp to a gear at B, The allowable shear stress in the steel is 6000 psi. Calculate the required speed of rotation (number of revolutions per minute) so that the shear stress in the shaft does not exceed the allowable limit.
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).
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)?
Two sections of steel drill pipe, joined by bolted flange plates at B, arc subjected to a concentrated torque 4000 kip-in. at x = 3 ft, and a uniformly distributed torque t0= 50 kip-ft/ft is applied on pipe BC. Let G = 11,800 ksi and assume that pipes AB and BC have the same inner diameter, d = 12 in. Pipe AB has a thickness tAB= 3/4 in., and pipe BC has a thickness tBC= 5/8 in. Find the reactive torques at A and C and the maximum shear stresses in each segment.
A solid copper bar of circular cross section has length L = 1.25 m and shear modulus of elasticity G = 45 GPa. The bar is designed to carry a 250 N · m torque acting at the ends. If the allowable shear stress is 30 M Pa and the allowable angle of twist between the ends is 2.5°, what is the minimum required diameter?
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).
A hollow steel shaft used in a construction auger has an outer diameter d2= 6.0 in. and inner diameter d1= 4.5 in. (see figure). The steel has a shear modulus of elasticity G = 11.0 × 106 psi. For an applied torque of 150 kip-in., determine the following quantities: shear stress at the outer surface of the shaft, shear stress at the inner surface, and rate of twist (degrees per unit of length). Also, draw a diagram showing how the shear stresses vary in magnitude along a radial line in the cross section.