Answered: An aluminium hollow thin-wall torsion…

An aluminium hollow thin-wall torsion member shown in Fig. 3.15 is 3 m long. If a torque of 10 kN-m is applied, calcu- late the maximum shearing stress and angle of twist G = 27 GPa.

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 3.2.6P: A circular aluminum tube subjected to pure torsion by torques T(sec figure) has an outer radius...

See similar textbooks

Related questions

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

A: Given data: The diameter of the pipe is d1=75 mm The fluid velocity is v=0.6 m/s

Q: Wet saturated steam (x = 94.305 %) at 16 bar (hf = 859 kJ/kg, hfg = 1935 kJ/kg) reducing valve is…

A: GIVEN DATA- AT 16bar . hf=859KJ/Kg, hfg=1935KJ/Kg , x=94.305% AT 8bar . hf=721KJ/Kg , hfg=2048…

Q: Law) i) If m=2, b=1, and k=6, solve this second order differential equation assuming homogeneous…

Q: Sulfuric acid with a specific gravity of 1.98 and viscosity of 26.7 cP is flowing in a 35 mm…

Q: P B **D*| W b D 2 ft T 2 ft| E

A: Calculated the shear force 6.16 ft to the right of point A for the beam.

Q: Determine the terminal velocity vf of the projectile. Evaluate for o=1.22 m/s², n=0.27 m²¹, and…

A: Introduction: The motion of an item hurled, or projected into the air, subject exclusively to…

Q: In shown figure the aluminum is subjected to a thermal stress where T₁ is 15.786 deg. C and T2 is…

A: Given Data The thermal coefficient of aluminum is:α=23.589×10-6 The area of aluminum is:\AAl=17.482…

Q: Two reservoirs are connected by 198ft of 2-in diameter tubing. What is the flow rate when the…

Q: 12. What must be the cutting speed of two inches milling cutter if it has to machine a piece of mild…

Q: The p-v diagram all make sense, but the equations are unreadable. i dont understand where some units…

Q: A pair of gray iron and steel helical gears, having a helix angle of 15° with 20° full-depth teeth…

A: (a) Normal circular pitch: 0.43354 in (b) Normal diametral pitch: 7.24637 teeth/in (c) Axial pitch:…

Q: Determine the kinetic energy possessed by a 100 kg disk which is 500 mm in diameter, 75 mm thick,…

A: Kinetic Energy is defined as the energy contained by a moving body by virtue of its motion. All the…

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 question as a separate…

Q: A closed cylindrical vessel, 3m in diameter and 8m high is shown. Assuming that C of orifice is…

A: given; height of cylinder(h)=8mfor orifice(C)=0.63actual discharge(Q)=?diameter of orifice(d)=150mm

Q: 03:- A 8 mm ball have a relative density 1.25 is suspended from a string. Calculate the angle…

Q: Determine the pressure difference between the inside and outside of the 0.17 mm diameter air bublle…

A: For solution refer below images.

Q: 6. The beam ABC has three supports and carries two equal but opposite couples. Determine all the…

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: SITUATION. The suspended load exerts a force F-800lbs at A and bar OA weighs 300 lb. Assume that the…

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

A: Given data Steam enters the turbine at 500 kPa Steam expands to 15 kPa Mass flow rate = 29.6 kg/s…

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

Q: Instructions: Perform a cycle analysis for the given reheat-regenerative Rankine cycles. Supply the…

Q: 11 www. 42 "perposition find RA, 28

Q: A newly purchased sedan car operates on an ideal thermodynamic cycle. The engine has a compression…

Q: A 400cm long pipe with a smaller diameter of 3.937 inchesand a larger diameter of 11.81 inches as…

Q: Draw the control volume of a compressor and apply the first law of thermodynamics to it. With…

A: we have to demonstrate the first law of thermodynamics via the compressor

Q: A jet issued of water at the rate of 200 L/s and a velocity of 36 m/s strikes a blade moving in the…

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

Q: Q)(a) A spring and mass system is shown in Figure P1.8. Assume that the rotation is small so that…

A: a) Determine the frequency of vibration if mass or rod is neglected. (b) If total mass of the rod…

Q: Determine the shear force 6.88 ft to the right of point A for the beam shown belowif P = 1071 lb, W…

Q: Q3:- A liquid whose coefficient of viscosity is µ flows below the critical velocity for laminar flow…

A: The loss of pressure in a length of 120 m is 11520 N/m2.

Q: Determine

A: Geometric center location of mailbox and cross member from O

Q: A steel bar 50 mm wide, 12mm thick and 300 mm long is subjected to an axial pull of 84 kN. Find the…

A: Suppose a bar of length L and Young's Modulus E is subjected to an axial force F. Then, the bar will…

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

Q: Draw the control volume of a compressor and apply the first law of thermodynamics to it. With…

Q: A pump at an elevation of 300m is pumping 0.05 m³/s of water through 2.4 km of 150-mm pipe to a…

Q: A flat surface with the shape of a circle is submerged in water so that its flat surface is…

Q: One of the major concern in cold weather condition is the condensation of the moisture present in…

A: We all know that condensation of moisture in the air is one of the most serious concerns in cold…

Q: Q1: Design a counter that counts numbers in the power of 2 only using five JK flip flops. Your…

A: Given task Designing the counter

Q: The three components are as follows: u = 2xt– 3xyz + 6z v = x– yz + 4xyt w = 3x– 5yzt + yz Find the…

A: Let V is the resulatant velocity at any point in a fluid flow. let u,v and w are its components in…

Q: A 1000 kg crate is to be supported by the rope and Pulley arrangement. Determine the required…

A: Mass of the crate, m=1000 kg

Q: 4. In what standard plates can we index the following. Solve using simple indexing anda label each…

A: we have to determine the plates required for simple indexing

Q: A 18-kg rear hatch of a vehicle opens as shown in the figure and can be modeled as a uniform 0.6-m…

Q: 1. Determine the pressure difference between the water pipe and the oil pipe. s = 0.68 20 cm Oil…

A: By using Pascal's law: Any two/more points at the same elevation in a continuous mass of the same…

Q: Find the diameter of A and the amount of offset of the tailstock to tapered the figured below. 1.653…

Q: A 1 Discontinuous Chips 2 Chemical stability or inertness 3 Planning Continuous chips Seat broaching…

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

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

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

Q: If the steam undergoes a process under Pv^1.273 = C, and the work steady flow is found to be 496.74…

A: given; PV1.273=Csteady flow work(w)=496.74BTUnon-flow work(w1)=?

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

An aluminium hollow thin-wall torsion member
shown in Fig. 3.15 is 3 m long. If a torque of 10 kN-m is applied, calcu-
late the maximum shearing stress and angle of twist G = 27 GPa.

120
5
LO
5
5
T1
A₁
200mm
T3
4
A2
12
5
T2
5
80mm →

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 by step

Solved in 2 steps

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 rotation or twist in degrees of a shaft, 800 mm long subjected to a torque of 80 N-m, 20 mm in diameter and shear modulus G of 80,000 MPa is:
A mild steel shaft of 50 mm diameter is subjected to a bending moment of 2000 N-m and a torque T. If the yield point of the steel in tension is 200 MPa, find the maximum value of this torque without causing yielding of the shaft according to The maximum principal stress; The maximum shear stress; and The maximum distortion strain energy theory of yielding
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?
A hollow aluminum tube used is a roof structure has an outside diameter d2=70mm and inside diameter d1= 50mm. The tube is 2.5m long and the aluminum has a shear modulus of G=28 GPa. a.) If the tube is twisted in pure torsion by torques acting at the ends, what is the angle of twist in degrees when the max shear stress is 50MPa? b.) What diameter 'd' is required for a solid shaft to resist the same torque with the same maximum stress?
A mild steel shaft of 53 mm diameter is subjected to a bending moment of 1477158 N-mm and a torque T N-mm. If the yield point of the steel in tension is 322 Mpa, find the maximum value of this torque without causing yielding of the shaft according to maximum shear stress
A shaft ABCD 70 mm in diameter is subjected to torques of 1500 N-m at B and 1100 N-m at C acting in the same direction. AB is 4m long, BC is 2m long and CD is 3m long. Supports A and D are unyielding and G = 80,000 MPa. (a) Calculate the maximum shearing stress of the shaft, (b) Find the rotation between A and C in degrees.
A hollow steel shaft is stressed to 55 MPa by a torque of 100,000 ft-lb. If the inside diameter is 2/3 of the outside diameter and if G = 83 GPa, find the angle of twist in degrees if the shaft is 5 meters long.
A steel shaft with a diameter of 40 mm and the length of 1.1 m transmits 60 hp from an electric motor to a compressor. If the allowable shear stress is 50 MPa and the allowable angle of twist is 1.50, what is the minimum allowable speed of rotation.
Q3(a): For a body under three dimensional stress state, describe the procedure for obtaining the absolute maximum shearing stress at a given point
A hollow circular tube with a 2.3-cm I.D. and 2.5-cm O.D. is rigidly supported at its ends. A 2.5 kN-m torque is applied at the center of this tube. What is the maximum shear stress acting on this tube?
Consider a hollow steel shaft with a 130mm outside diameter and a 70mm inside diameter. What is the maximum torque that this shaft can transmit if the shear yield stress is 1.4 x 108Pa and the behavior is elastic, perfectly plastic?