A circular hollow shaft of outer diameter 200mm and inner diameter 160mm is subjected simultaneously to a torque T= 11kN and axial compressive load, P = 362kN . Calculate the maximum and minimum principal stresses and maximum shear stress t max

A circular hollow shaft of outer diameter 200mm and inner diameter 160mm is subjected simultaneously to a torque T= 11kN and axial compressive load, P = 362kN . Calculate the maximum and minimum principal stresses and maximum shear stress t max

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 3.5.7P: -7 A steel tube (G = 11.5 x 106 psi) has an outer diameter d2= 2.0 in. and an inner diameter dt=1,5...

See similar textbooks

Related questions

Q: A 6-splined shaft delivers a torque of 7.5 kN - m. The spline has the following dimensions: D = 75 m...

A: Write the given data. n=6T=7.5 kNmD=75 mmd=60 mmb=20 mmt=5 mmL=125 mm

Q: A container equipped with a resistance heater and a mixer is initially filled with 3.6 kg of saturat...

A: Given Data Mass of saturated water vapour m = 3.6 kg Temperature of saturated water vapour= 120°C F...

Q: e velocity. Wh e v

Q: The company is interested in expanding its production capability into ceramic based products. You h...

A: Sintering techniques are broadly classified into two types: solid state sintering and liquid pha...

Q: 1. Knowing that the ultimate load for cable BD (diameter is 20 mm) is 110 kN and that a factor of sa...

Q: For questions 7A and 7B: A chandelier weighing 20kg hangs from a point B by two strings AB and BC. A...

Q: A fire truck supplies 190 gal/min of water to the third story of a building at B (Eigute 1) Part A I...

A: this is the multiple type question . according to company policy i have answered very first question...

Q: Part A The 150 lb man bes against the cushion for which the coefficient of static fricton is , 05 He...

Q: Consider an actual regenerative Rankine cycle with one open feed water heater. For each kg steam ent...

A: The Rankine cycle is a simplified thermodynamic cycle that describes how some heat engines, such ...

Q: m according to

Q: Three kg of air undergoes a three process cycle as shown in the figure. Calculate the network.

A: The thermodynamic cycle is shown below.

Q: A sprinter in a 100-m race accelerates uniformly for the first 35 m and then runs with constant velo...

Q: Design a single riveted lap joint to connect two mild steel plates, 14.5 mm thick, the joint being d...

A: We will consider maximum shear stress criteria and maximum crushing stress criteria for the design, ...

Q: A shaft has a diameter of 0.08 m that is pulled at .5 m/s in a bearing sleeve .0803 m in diameter ha...

Q: ucceleration(in m/

Q: a steel wall a temperati

Q: 20 mm through hole is to be drilled in a 30 mm thick plate using a double fluted, 120° lip angle dri...

A: Given:hole diameter, d=20 mmthickness of plate, t=30 mmspeed of drill, N=500 rpmapproach=3 mmovertra...

Q: A bar ACB has is subjected to an external load at C, and it is supported either end by a cable as sh...

Q: |160 kN W310 × 74 c For the beam and loading shown, determine the slope at end A. Use E = 200 GPa. 2...

Q: üiven- u= 35mls V = om/s t-5secs S-2

Q: Which of the following would NOT be cause for rejection when checking the windshield and other glass...

A: Answer = option (d) The windshield has a 2 inch diameter“star”

Q: 1-A solid axial member which is made from three parts with different materials (sections 1,2, and 3)...

A: Section 1 Diameter, D1 = 30 mmSection 2 Diameter , D2 = 20 mmSection 3 Diameter, D3 = 25 mm

Q: Determine the change in the kinematic viscosity of air that is heated from 10°C to 70°C. Assume stan...

A: Given data, T1 = 10°C T2= 70°C Assuming Standard atmospheric pressure is 1 atm

Q: If this tank/converging-diverging nozzle combination was to be used as a rocket's propulsion unit, w...

Q: 13-12. Figure P13.12 shows a mechanism that is used to shear thin-gauge sheet metal. If a 200-N forc...

A: Given DataF=200NHere the free body diagram

Q: Gaseous nitrogen actuates a Carnot power cycle in which the respect volumes at the four corners 14.5...

A: Given data in the question:Q=21.1 kJv1=10.10 L, v2=14.53 L,v3=226.54 L, v4=157.73 L,

Q: A titanium cylinder having a diameter of 50 mm in diameter and 540 mm long falls inside a vertical t...

Q: 1.The engine has a given capacity of 60kw, calculate the power requirement in a hydraulic system too...

Q: If longitudinal strain for a wire is 0.03 and its Poisson's ratio is 0.5, then its lateral strain is

A: To find : Lateral strain Explanation : Strain is defined as the change in dimension upon original d...

Q: 250 mm 100mm 100 mm to (S0 nm 120 mm FRONT VIEW 160 mn 100 mm 200 m TOP VIEW

Q: travelling ke to stop with W1 WI ning

Q: on SN and the endicular to

Q: A plate of 0.125 mm distant from a fixed plate, moves at 20cm/s and requires a force of 40 N per uni...

A: Given data, dy= 0.125 mm =0.000125 m du=u= 20 cm/s =0.2 m/s τ= 40 N/m²

Q: 310 mm? %3D AT = 105°C 160 GPa 11.7 ×10/°C 4800 mm A2 = 450 mm? (1) 80 GPa 2400 mm 2400 mm 15.7 x106...

Q: Air at 90 kPa and 147°C enters an adiabatic diffuser steadily at a rate of 5500 kg/h and leaves at 1...

Q: Calculate the following: a. Temperature at the end of the isentropic compression process b. Change i...

A: Here we need calcualte Temperature at the end of isentropic compression process and change in entrop...

Q: The boom AC in the figure rests in a ball and socket joint at A and is held in equilibrium by the ca...

A: Tension, or T, is the pulling force that acts along a stretched flexible connector, such as a rope o...

Q: figure pres

Q: 9. A 400 kN block is resting on a rough horizontal surface for which the coefficient of friction is ...

Q: An oil of viscosity 0.8 Pa-s and specific gravity 1.2 flows through a horizontal pipe of 80 mm diame...

A: Given Viscosity = 0.8 Pa.s Specific gravity = 1.2 Diameter, d = 80 m...

Q: 1. Find the transfer function X(s)/F(s) of the circuit. 3 Nim 2 N-s/m I Kg

Q: 1m -1m

A: As per question Determine the moment of inertia of the shaded area about the y axis.

Q: In orthogonal turning of low carbon steel pipe with principal cutting edge angle of 90°, the mair cu...

A: Given:Rake angle,α=0cutting force, Fc=1000 Nfeed force, Ft=800 Nshear angle,ϕ=25o

Q: 4. A simply supported beam is shown below. Do the following. a) Draw the equivalent load diagram. b)...

Q: An engine undergoes the brake power testing in an brake rope dynamometer running at 8000 rpm and exp...

A: Given data: N=8000 rpmT=500 N.m Need to determine the brake power generated by the engine.

Q: In a spark ignition engine working leal Otto cycle, the compression ratio is 5.5. The work output pe...

A: Given data:compression ratio, r=5.5Work, W=23.625×105×Vc JouleVc=clearance volume

Q: 3. A dimension of 225.00 mm is specified for a particular injection moulded component manufactured i...

A: Given data: d=225.00 mm Need to determine the mould cavity dimensions.

Q: If YY is the centroidal axis of a T-beam section, subjected to plastic moment, Mp, the neutral axis ...

Q: -A single-stage impulse turbine with a diameter of 120 cm runs at 3000 rpm. If the blade speed ratio...

A: As per given question Blade speed ratio =0.42 Diameter =120cm Revolution =3000ram We have to find d...

Q: 1A. A steel tube is rigidly fastened between aluminum and bronze rods and the axial loads are applie...

A: The normal stress (tensile or compressive) developed in a member subjected to a axial loading can be...

Concept explainers

Pressure Vessels

The term pressure vessel refers to a closed container that contains gas or liquid at a different pressure than environment pressure. The pressure vessels have a wide scale of applications in our day-to-day lives and other industrial places. Some common examples of pressure vessels are gas cylinders, autoclaves, compressor vessels, etc.

Question

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 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

A circular aluminum tube subjected to pure torsion by torques T(sec figure) has an outer radius r2equal to 1.5 times the inner radius r1. (a) If the maximum shear strain in the tube is measured as 400 × 10-6 rad, what is the shear strain y1at the inner surface? (b) If the maximum a1lo-abk rate of twist is 0.125 °/m and the maximum shear strain is to be kept at 400 × 10-6 rad by adjusting the torque T, that is the minimum required outer radius ( r2)Min?
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 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 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 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?
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 segment of a generator shaft with a hollow circular cross section is subjected to a torque T = 240 kip-in, (see figure). The outer and inner diameters of the shaft arc 8.0 in, and 6.25 in., respectively. What is the maximum permissible compressive load /'that can be applied to the shaft if the allowable in-plane shear stress is rAi(m= 6250 psi
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 thin-walled steel tube of rectangular cross section (see figure) has centerline dimensions b = 150 mm and h = 100 mm. The wall thickness t is constant and equal to 6.0 mm. Determine the shear stress in the tube due to a torque T = 1650 N · m. Determine the angle of twist (in degrees) if the length L of the tube is 1.2 m and the shear modulus G is 75 GPa.
A stepped shaft (see figure) has diameter D2= 1.5 in, and a full quarter-circular fillet. The allowable shear stress is 15,000 psi and the load T = 4800 1b-in. What is the smallest permissible diameter D1?
A circular pole is subjected to linearly varying distributed force with maximum intensity t0. Calculate the diameter daof the pole if the maximum allowable shear stress for the pole is 75 M Pa.
A long, thin-walled tapered tube AB with a circular cross section (see figure) is subjected to a torque T. The tube has length L and constant wall thickness t. The diameter to the median lines of the cross sections at the ends A and B are dAand dB, respectively. Derive the following formula for the angle of twist of the tube: Hint: If the angle of taper is small, you may obtain approximate results by applying the formulas for a thin-walled prismatic tube to a differential element of the tapered tube and then integrating along the axis of the tube.