The strain energy will be higher in which shaft under the same torque mcq. Every player used the exact same head: a 10.
The strain energy will be higher in which shaft under the same torque mcq The stress-strain equations give a corresponding stress distribution— one which consists solely of a shear stress a Shaft stress refers to the internal forces acting on a shaft during operation. The document contains 10 multiple choice questions about material properties and stress-strain diagrams. a) (16T/πf) 3/2 b) (16f/πT) 1/2 c) (16f/π) 1/2 d) (πT/16f) 1/2 View Answer In addition to transmitting the torque, many of these devices the torque exceeds acceptable operating limits, protecting more Details regarding hardware components such as keys, addressed in detail in Sec. von Mises(1913). 9-8 A statically indeterminate stepped shaft ACB is fixed at ends A and B and loaded by a torque To at point C (see figure). 2) The torsional equation relates the applied torque T, shear stress qs, polar moment of inertia J, and length of the shaft L. In this theory failure by yielding occurs when at any point in the body ,the distortion energy per unit volume in a state of combined stress becomes equal to that associated with yielding in a In most types of loading situations, the stress developed in the element (bar, shaft, beam, etc. May 23, 2024 · A stepped shaft of solid circular cross sections (see figure) has length L= 2. Shear stresses act in almost every mechanical situation, and the strain energy of these shear stresses is a powerful tool for solving deflection problems using energy methods. 73 C. All 3 shafts had the same weight and flex, the only difference was torque. The bearing total strain energy should be above 30% if one is to avoid high amplification factors at the 1st critical speed. Derive an expression for elastic strain energy stored in a beam in bending. 46 , called angle of twist if every cross section has the same radius and subjected to the same torque, the angle (x) will vary linearly between ends under twisting deformation, it is assumed A stepped steel shaft shown below is subjected to 10 N-m torque. diam. The new design of shear and torque strain gages are consider to be a game changer for the stress analysts society. The greater the torsional rigidity, the smaller the resulting angle of twist for a given torque. Explore strain energy, its types, loading conditions, failure theories, and applications in engineering. ∴ Average Oct 22, 2025 · Get Strain Energy Multiple Choice Questions (MCQ Quiz) with answers and detailed solutions. Assume the shafts to be of This document provides a summary of key concepts related to mechanical springs and machine elements. Now if you weld the seams back together you deny the triangles the opportunity to wind about. Von mises. Download these Free Equation of Torsion MCQ Quiz Pdf and prepare for your upcoming exams Like Banking, SSC, Railway, UPSC, State PSC. The relationship between torque and shear stress is detailed in section 5. Which shaft will have the higher rotation under load? Using G= 11. For each: identify loads and boundary conditions, write equilibrium and compatibility equations, apply Hooke’s/Lamé’s/energy relations, then compute stresses, deformations, and safety factors. Find the diameters of the hollow shaft in order to make its store of strain energy 20% greater than that of the solid rod when transmitting torque at the same maximum shear stress. aef° The standard ore tress is N/m*. It then discusses the design of a composite drive shaft to reduce weight. Oct 22, 2025 · Strain energy is the energy stored in a material when it is deformed under an applied load within its elastic limit. Example 15. During a tensile test on a ductile material ____________ a) Nominal stress at fracture is higher than the ultimate stress b) True stress at fracture is higher than the ultimate stress c) True stress a fracture is the same as the ultimate stress d) None of the mentioned View Answer MCQ on Shafts, Keys and Couplings in Machine Design The section contains Design of Machine questions and answers on transmission shafts, shaft design and keys, couplings and pin flexible coupling. and the radius of gear B is 4 in. In elastic structures carrying static loads, the external work and strain energy are numerically equal to one another. 5 in. com Explanation: By the principle of work, the amount of strain energy in a body is found. To understand why the Modulus of Rigidity is the primary factor, let's delve into the relationship between the torque (T) applied to a shaft and the resulting angle of twist (θ). A solid shaft, 150 mm diameter, is to be replaced by a hollow shaft of the same material, length and mass. The questions cover a range of topics including stress and strain, bending moments, deflection, material properties, torsion, and Mohr's circle of stresses. Let θ be the angle of twist. Here the angle ‘Φ’ measured over the cylindrical surface indicates the angle of shear or shear strain and the angle ‘θ’ indicates the angle of twist in the object. 9 STRAIN ENERGY IN TORSION Let a shaft of length l be under the action of torque T. 1000+ Strength of Materials MCQ PDF arranged chapterwise! Start practicing now for exams, online tests, quizzes, and interviews! May 26, 2024 · The strain energy stored in a body, when the load is gradually applied, is (where σ = Stress in the material of the body, V = Volume of the body, and E = Modulus of elasticity of the material) This tutorial explains elastic strain energy, strain energy density, and their importance in elasticity analysis, including formulas and practical applications. 2 x 100 psi, determine the strain energy of each shaft when an) 9- kip-in. It establishes the relationship between their polar moments of inertia and derives the ratio of strain energy based on their dimensions. The golfers were able to choose whether they wanted stiff or regular flex. 1 Maximum shear stress theory states that when the maximum shear stress in an object reaches or exceeds the magnitude of yield shear stress in Determine the diameter of an aluminium shaft which is designed to store the same amount of strain energy per unit volume as a 50mm diameter steel shaft of the same length. AskEngineers is a forum for questions about the technologies, standards, and processes used to design & build these systems, as well as for questions about the engineering profession and its many disciplines. The external diameter of hollow shaft is n times its internal diameter. The elastic strain energy associated with normal stresses will be discussed, first in members under axial loading and then in members in bending. m Determine the angle of Since every cross section is subjected to the same torque so df/dx is constant, the shear strain varies along the radial line = 0 at r = 0 (center of shaft) The document discusses stresses in beams and shafts subjected to torsion. = nd diam. The reason is the strain energy stored into this axial deformation is more than what would be if there was only shear strain. But, Strain (ε x) = Change in length / Original length ∴ Change in length = ε x + d x Since, force is applied gradually from zero to its final value. txt) or read online for free. So let's learn about mcq on clutchs with simplistic way. 1-6. It is subjected to a torque of 1000Nm. The report finds that a composite drive shaft can reduce mass by over 30% compared to steel and increase the first natural Nov 6, 2014 · The performance difference of six schemes in Table 1 under clockwise and counter-clockwise torque can be obtained by comparing their Tsai–Wu failure coeffi- cients;9this criterion considers the total strain energy (both distortion energy and dilatation energy) for pre- dicting failure, which is more general than the Tsai–Hill failure This paper discusses possible ways of the torque measurement and presents a test campaign where two different methods of torque measurement are conducted. 5*Torque*Total Angle of Twist*(180/pi) to calculate the Strain Energy, The Strain Energy in Torsion using Total Angle of Twist formula is defined as the measure of the energy stored in the shaft subjected to torsion within the elastic limit. The torsional strain energy of shaft is equal to the work done in twisting. The material is brass with G= 81GPa. The strain energy is smaller in hcp Ti than in bcc Ti. This set of Strength of Materials Multiple Choice Questions & Answers (MCQs) focuses on “Tensile Stress”. Resilience can also be termed as ___________ a) Stress energy b) Strain energy c) Modulus d) Tenacity View Answer r = radius of shaft J = polar moment of inertia Combined Stresses: Under combination of these stresses, (d) Principle Stress (e) Maximum shear stress Equivalent Moment and Torque Equivalent bending moment may be defined as the bending moment which will produce the same direct stress as produced by the bending moment and torque acting separately. 25 in. 17. Energy is stored in the shaft due to this angular distortion. - If a part is constrained and heated, it will develop compressive stress. You will find in this tutorial material to cover the definition and derivation of the various forms of strain energy. Understanding the mechanics of stresses in a shaft is essential for engineers to design reliable and durable shaft systems. We will first consider deformations due to a relative rotation of two sec-tions of the shaft and, on the basis of symmet y, construct a compatible strain state. Calculate the diameter of the shaft. In this article, we will discuss the different types of stresses that can occur in a shaft, how to calculate them, the causes of stress concentrations in shafts, and the various methods used to Beam and Frame Deflection - Castigliano’s Theorem “When a body is elastically deflected by any combination of loads, the deflection at any point and in any direction is equal to the rate of change of strain energy with respect to the load located at that point and acting in that direction” – even a fictitious load. To better explain this, it is necessary to discuss exactly how each system measures torque (or power). The latter is termed as the shear strain energy , which has been shown to be a primary cause of elastic failure. When a load acts on a body there will be deformation, which causes movement of the applied load. Tensile stress to tensile strain ratio. RMBC MACHINE DESIGN: SHAFT DESIGN MODULE 2 SHAFT DESIGN DEFINITIONS AND USEFUL INFORMATION Shaft - is a rotating or stationary member, usually of circular cross section much smaller in diameter than its length, used to transmit motion or power; having mounted on it such power-transmitting elements as gears, pulleys, belts, chains, cam, flywheels, cranks, sprockets, and rolling-element bearings These equations which transform between curvatures in different coordinate systems have the same structure as the stress transformation equations (and the strain transformation equations), Book I, Eqns. The relevant formulae for hollow shafts have been introduced in $8. Calculate the Strain energy stored in a body of stress 0. Sep 26, 2025 · Get Equation of Torsion Multiple Choice Questions (MCQ Quiz) with answers and detailed solutions. Keyed components generally have a slip fit bly and disassembly is easy. Each question tests knowledge on specific concepts such as stress types, mechanical properties, and control strategies. It summarizes the design of a steel drive shaft in SolidWorks and analysis in ANSYS. Oct 28, 2021 · Concept: Strain energy stored in the shaft: Consider the following circular section of the shaft which is subjected to a torque 'T'. This method requires direct contact between the sensor and the measured shaft, and calculates the shaft power by measuring the strain generated by the shaft under torque[2]. 2 of your textbook, and it results in the following relation: Here the strain energy is defined as the total energy difference between the strain-free state and the strain state. 2 In the absence of any energy dissipation, this work is stored in the structure in the form of strain energy. Engineers apply the knowledge of math & science to design and manufacture maintainable systems used to solve specific problems. The questions cover terminology, applications of different joint types, force and stress Nov 6, 2014 · The performance difference of six schemes in Table 1 under clockwise and counter-clockwise torque can be obtained by comparing their Tsai–Wu failure coeffi-cients;9 this criterion considers the total strain energy (both distortion energy and dilatation energy) for pre-dicting failure, which is more general than the Tsai–Hill failure Aug 18, 2025 · Get Measurement of Torque Multiple Choice Questions (MCQ Quiz) with answers and detailed solutions. This is called torsional energy or the Torsional resilience. Key topics covered include elasticity, plasticity, stress-strain curves, elastic limit, proportional limit, yield points and elastic modulus. The above figure shows the torque applied along the longitudinal axis of the shaft, this twisting torque causes the material of the object to deform in an angular manner. 3) Torque transmission through stepped, parallel , called angle of twist if every cross section has the same radius and subjected to the same torque, the angle (x) will vary linearly between ends under twisting deformation, it is assumed Question: 20. Derive an expression for elastic strain energy stored in a beam in shear. A typical schematic and equation relating these two voltages are shown below: TORQUE TRANSDUCER Torque transducers convert mechanical energy to electrical energy. Includes stress, torque, and Euler's formula. The Strain Energy in Torsion for Solid Shaft formula is defined as the measure of the energy stored in solid shaft, when it is subjected to torsion with in elastic limits and is represented as U = 𝜏^ (2)*V/ (4*Gpa) or Strain Energy = Shear Stress^ (2)*Volume of Shaft/ (4*Shear Modulus). T. Aug 7, 2024 · Series combination of shafts is done to transmit torque from one shaft to another shaft. Shaft: 3b The torsion shafts shown below are made of the same material and are subjected to the same torque T. It is loaded as shown. It is a key concept in mechanical design, as it determines how much energy a component can store without yielding. A solid shaft of circular in section is subjected to torque which produces maximum shear stress in a shaft. We would like to show you a description here but the site won’t allow us. Strain Energy in Torsion Consider a solid shaft of length L, under the action of torque T. Torsional Stiffness (K) Torsional stiffness is defined as the amount of torque or twisting couple required to produce a twist of unit radian. Download these Free Strain Energy MCQ Quiz Pdf and prepare for your upcoming exams Like Banking, SSC, Railway, UPSC, State PSC. Since strength requirements are related to the torque carried by such a shaft, and the relationship between torque and ro- tational speed is inverse—for a given level of transmitted power—there has been a continuing trend toward higher and higher shaft speeds. Later we shall consider the elastic strain energy associated with shearing stresses such as in torsional loadings of shafts and in transverse loadings of beams. Obtain an expression for the total strain energy including the the loads F,M,T,V and a fictitious force if required required. 2. The higher the G and J values, the less the shaft will twist. Then the strain energy in both rods will be rod A has more equal zero in both rod B has more Study with Quizlet and memorize flashcards containing terms like *Image Required* The two figures show equivalent ways to represent ____ in the free body diagram for a shaft. Strain energy stored in a solid shaft due to application of Torque ‘T’ at free end while other end is fixed, if G is shear modulus, J polar moment of inertia, and L is the length of shaft is/will be Oct 28, 2025 · Get Theory of Failure Multiple Choice Questions (MCQ Quiz) with answers and detailed solutions. Angle of twist The hypothesis used in developing the stress and strain in the shaft is that all points on a cross-section of the shaft experience the same angle of twist. Explain in detail membrane analogy used in solving torsion problems. Let me make things easier for you. . The answers provided indicate the correct choices for each question. These components can transfer torque to/from the shaft and they also affect the strength of the shaft an must thereore be considered in the design of the shaft. The maximum distortion energy theory ,also known as the Von Mises theory, was proposed by M. For the purposes of deriving a simple theory, to make the following basic Occasionally, there is a need to model the shaft element with different diameters for the kinetic energy and strain (potential) energy calculations, as shown for element 2 sub-element 2, and element 3 sub-element 1, in Figure 6. 2) It provides examples and relationships between various mechanical properties such as the relationship between Young's modulus and modulus of rigidity, and between Bulk modulus and Young . 1 Elastic Strain Energy for Various Loadings As mentioned in the chapter overview, we’ve covered various types of loadings ranging from axial, torsion, shear and bending. Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes Fig. Feb 6, 2010 · The total strain energy of the solid may be computed by adding together the strain energy of each element: It is more convenient to express W in terms of the vector which contains all the nodal displacements, rather than using for each element to describe the displacements. If you're Torsion: shear stress/strain and twist angle Circular shaft experiencing an axial torque A solid, circular cross-sectioned shaft experiences an axial torque T, as shown above. Therefore the hollow shafts are stiffer than the solid shafts for the torsional and bending load. (2) What can you say about the Engineering Mechanical Engineering Mechanical Engineering questions and answers L 42 2 PROBLEM 3. 46 This document contains 9 questions from previous GATE and IES exams related to torsion of circular shafts. What is creep in materials? a) The gradual elongation of a material under stress over time b) Sudden failure under high load ng d) Resistance to impact forces Answer: a) The gradual elongation of a material under stress over time The von mises stress theory for failure also known as the maximum distortion energy theory which is developed by M. Key formulas are presented relating torque to shear stress, polar modulus, bending stress, and principal stresses under A statically indeterminate stepped shaft ACB is fixed at ends A and B and loaded by a torque T0 at point C( see figure ). Let’s consider A 40-mm-diameter solid steel shaft, used as a torque transmitter, is replaced with a hollow shaft having a 40-mm OD and a 36-mm ID. This set of Strength of Materials Multiple Choice Questions & Answers (MCQs) focuses on “Strain Energy”. Restoring force / area 4, Energy / area Answer (Detailed Solution Below) Option 3 : Restoring force / area Stress and strain Question 14 Detailed Solution ‘CONCEPT: + Stress (S); Stress is the ratio of the load or force to the cross-sectional area of the material to which the load iswapplied. ) is linearly related to the loading. (167. Jan 25, 2023 · Strain Energy Formula: Learn the definition of stress and strain, their relationship, formulas, derivations and examples. Power transmission shafts — on motors and gearboxes, for example — are subjected to torque loads that result in torsion, or twisting of the shaft about its axis. 0∘. This document contains 9 multiple choice questions about helical springs from previous Indian Engineering Services (IES) exams. When a material is strained, there is actually strain energy stored in it. It relates the shear stress to the shear strain in the material and is crucial in determining how much a component will twist under a given torque. Calcul A circular shaft consists of two portions BC and CD of the same material and same length, but of different cross sections. Huber and R. Download these Free Theory of Failure MCQ Quiz Pdf and prepare for your upcoming exams Like Banking, SSC, Railway, UPSC, State PSC. Important notes, please refer to them. 1. It also covers the effect of suddenly applying a load to a structure. What is Strain Energy? The work done in straining the shaft with in the elastic limit is called strain energy. For series connection couplings are used. 9-7 do Mind (n) 3. The document contains 15 multiple choice questions related to mechanics of materials. 6m, diameter d2= 50mm, and diameter d1= 40mm. If the hollow shaft is to store 25 % more energy than the solid shaft when transmitting torque, what must be its internal and external diameters? Assume the same maximum shear stress applies to both shafts. A stepped steel shaft shown below is subjected to 10 Nm torque. Each question includes the question stem, possible answers, and an explanation of the correct answer. Common examples include a load cell and a strain gage. 1) The document defines key concepts in solid mechanics including stress, strain, Hooke's law, shear stress and strain, Poisson's ratio, Young's modulus, strain energy, resilience, and modulus of resilience. Huber in 1904 and further developed by R. Obtain the linear deflection y f from the relationship y f = ∂ U / ∂ F f If the force is fictitious set F f = 0 and solve the resulting equation Measures the resistance of a material to elastic (Recoverable) deformation under load. It’s like a spring; when you exert a force on a spring ill proceed much the same way as above. Shear stress Elastic Strain Energy The strain energy stored in an elastic material upon deformation is calculated below for a number of different geometries and loading conditions. Determine the strain energy U of the shaft if the angle of twist is 3. 2 Elastic Strain Energy The strain energy stored in an elastic material upon deformation is calculated below for a number of different geometries and loading conditions. TORQUE Torque is the measure of a twisting force that causes an object to rotate about a point. When these loadings are applied, they cause stress and hence strain in the material. Which of the following are functions of bearings? a) Ensure free rotation of shaft with minimum friction b) Holding shaft in a correct position c) Transmit the force of the shaft to the frame d) All of the listed View Answer If the external diameter of a hollow shaft is three times greater than its internal diameter, what is the ratio of its torque-carrying capacity compared to that of a solid shaft of identical material and the same outer diameter? Exam questions on torsion, shaft design, and column buckling for engineering students. Some key points covered include: - Young's modulus is the ratio of longitudinal stress to longitudinal strain. Derive an expression for elastic strain energy stored in a circular shaft under torsion. If the bearing strain energy drops below this ratio, then this is an indication that the bearing stiffness is excessive to the shaft stiffness. 12 B. 3 days ago · Get Torsion of Shaft Multiple Choice Questions (MCQ Quiz) with answers and detailed solutions. For the same weight per unit length, the hollow shaft has a high moment of inertia than the solid shaft. This shear strain calculator finds the strain due to shearing stresses in different situations (shear force or torque). pdf), Text File (. If the modulus of rigidity is 80 GPa, the strain energy in the shaft in N-mm is This set of Machine Design Multiple Choice Questions & Answers (MCQs) focuses on “Bearings”. [Hint: Use Eq. And it represented by ‘K’ 6LPSOH WRUVLRQ WKHRU\ When a uniform circular shaft is subjected to a torque it can be shown that every section of the shaft is subjected to a state of pure shear Figure (1), the moment of resistance developed by the shear stresses being everywhere equal to the magnitude, and opposite in sense, to the applied torque. m. This is extended to the theory that allows you to solve the stress and deflection in various structures with single and multiple loads. 2 of your textbook, and it results in the following relation: Answer: b) Fatigue strength 5. -Maximum -Zero Jul 13, 2021 · The shear modulus, denoted by G, is a material property that quantifies the material's rigidity under shear deformation. - Tensile strength is obtained by dividing the maximum load by the original cross-sectional area. Shaft torque is defined as a critical performance indicator for wind rotors, representing the rotational force generated by the rotor, which can be measured using static torque meters or calculated through computational fluid dynamics (CFD) techniques. As long as the stress in the material remains within the linear elastic region, the stress is also linearly related to the deflection. The questions test concepts such as: 1) The relationship between torque, shear stress, and shaft diameter as described by the torsion equation. AI generated definition based on: Renewable and Sustainable Energy Reviews, 2014 som mcq - Free download as PDF File (. Question: Calculate the diameters of a hollow shaft of the same length and same cross sectional area as a solid shaft of 15 cm diameter if the strain energy in the hollow shaft is 25% greater than that of solid shaft transmitting the same torque at the same maximum shear stress. 7–7. Sep 9, 2024 · It is inversely proportional to the torsional rigidity GJ. 6. 8. See full list on mechcontent. A stepped steel shaft shown below is subjected to 10 N-m torque. Sep 26, 2025 · A higher Modulus of Rigidity results in greater torsional stiffness, meaning the shaft will experience less angular deformation under an applied torque. It is evident from Fig. Determine the maximum shear stress developed in the shaft. It is derived based on the assumptions that the object’s cross-section remains plane during the application of torque, and shear strain varies linearly from the axis of the shaft to the extreme radius. Therefore, there is a linear relation between load and deflection and elements under loading behave similar to linear springs Strain Energy in Torsion using Total Angle of Twist calculator uses Strain Energy = 0. For this reason, it's essential to be aware of shear strain and the equations behind it. Download these Free Measurement of Torque MCQ Quiz Pdf and prepare for your upcoming exams Like Banking, SSC, Railway, UPSC, State PSC. The two segments of the bar are made of the same material, have lengths LA and LB, and have polar moments of inertia IPA and IPB. One of the most effective and the shaft and gear. 11-18A–B that the strain energy varies largely depending on M, and it is comparable to the thermal energy, kB T. = (1) Determine the total strain energy, expressing the result in terms of T, FP, L, material properties G and E, I and J of the smaller cross section, and the ratio n of the two diameters. Nov 13, 2025 · The strain energy due to torsion is the elastic energy stored in a shaft when it is twisted by an external torque. As shown in the above figure, for the hollow shaft, the cross-sectional area is spread away from the axis of rotation. High modulus changes shape barely under load like steel. The equation is as follows: A circular shaft under torsion develops PURE SHEAR on cross sections between longitudinal planes (the faces of element a a are parallel and perpendicular to the axis of the shaft) Torsion Formula The Torsion Formula relates shear stress to the applied torque and cross-sectional geometry of the object. Take an elementar C6. 12 The area under the torque-angle of twist curve is equal to the strain energy stored in a shaft. The short answer is that mechanical torque measurements (usually via direct strain gage measurement and torque telemetry) provide significantly higher accuracy in torque and horsepower measurements, which save you time and money. Stress-strain diagram for uniaxial loading of ductile and brittle materials. 2) How shear stress and torque capacity change when shaft diameter is increased or decreased. It can be shown by strain energy analysis that the shear strain energy associated with the principal stresses σ1, σ1 & σ3 at elastic failure, is the same as than in the tensile test causing yield at direct stress S y when: Apr 1, 2021 · Strain Energy Due To Axial Stress Consider an infinitesimal element actual upon by normal stress σ x . If both materials have the same strength, what is the percentage reduction in torque transmission? What is the percentage reduction in shaft weight? Submitted by Clifford S. Determine the angle of rotation ϕ of the cross section at C by using strain energy. 3. Science Physics Physics questions and answers 1) A hollow shaft of same cross-section area as compared to a solid shaft transmit (A) Same torque (B) Less torque (C) More tordise (D) Unpredictable 2) A steel bar of 5 mm is heated from 25∘C to 45∘C and it is free to expand. One of the methods measures the shear strain signal using strain gauges at one section of the turbine main shaft. - Strain energy is the Aug 1, 2023 · Alongside the growth of the torque sensors, the Advanced Sensors strain gage has emerged as the next technology phenomenon. 5 days ago · Concept: The strain energy stored in a shaft due to torsion can be derived using the relationship between torque, shear stress, and the angle of twist. Low modulus is like rubber. Then, the work done in twisting shall be equal to the strain energy due to torsion (U). This document provides a project report on the design and analysis of a drive shaft made of composite materials. 5* Callaway RAZR Fit. These expressions for stored energy will then be used to solve some elasticity problems using the energy methods mentioned in the previous section. Force on the element (F) = σ x (d Z – d y ) Due to this force strain energy in element is (dU)= ½ * Stress * Strain *dV. 24 in. Derive an expression for strain energy stored in one-dimensional structure under axial load. The analysis is based on equal weight and volume for both shafts, leading to the Veer Surendra Sai University of Technology - VSSUT Oct 30, 2025 · Strain energy stored in a hollow shaft of external diameter (D) and internal diameter (d) when subjected to shear stress (τ) is equal to 2 on the other (they cannot be the same constants for a general solution [there’s no reason they should be]) This set of Strength of Materials Multiple Choice Questions & Answers (MCQs) focuses on “Combined Bending and Torsion”. Download these Free Torsion of Shaft MCQ Quiz Pdf and prepare for your upcoming exams Like Banking, SSC, Railway, UPSC, State PSC. torque T is applied at D. Mar. Similar to structures under tension or compression, two important mechanical properties of shafts under torque loads are shear stress and shear strain. Since twist applies a shear strain, we expect that torque will apply a shear stress. ratio of strain energy for solid and hollow shaft subjected to same torque if outside diameter of both shaft is equal. 2 and will not be repeated here. 18, 2022 05:51 p. Answer: b) Fatigue strength 5. 4. It covers torsional deformation of circular shafts, shear stresses and strains from torques, polar moment of inertia, torsional rigidity, and stresses in shafts under combined bending and torsion loads. Two uniform steel rods A and B of same length having diameters d and 2d are subjected to tensile forces P and 2P respectively. Calculate the diameters of the hollow shaft if the strain energy is to be 20% greater than that of the solid shaft when transmitting torque at the same maximum shear stress. 4. Strain energy for a general state of stress will be considered where we shall derive the The strain energy functions for the three types of members investigated here (axially- loaded members, torsionally-loaded members and members with flexural and shear stresses due to bending) are summarized below. It transmits a torque Th and develops a strain energy U, Another solid shaft has the same external diameter as the hollow shaft and transmits torque Ts and develops a strain energy Us TH Find the ratios and if the two shafts are to be subjected to the same maximum Ts shear stress. Shafts are subject to combined loading including torque ( shear loading ), bending ( tensile & compressive loading ), direct shear loading, tensile loading and compressive loading. The questions cover topics such as the ratio of wire diameter to coil diameter that results in a spring with constant extension, uses of concentric helical springs, effects of changing spring length or coil diameter on stiffness, and locations of maximum shear stress The strain energy stored in a solid circular shaft, under pure torque, per unit its volume (take max shear stress = q and modulus of rigidity = C) is expressed as The document consists of a series of multiple-choice questions and answers related to mechanical design, stress analysis, mechatronics, and control systems. 5 16 in. (3−55b) to determine the strain energy U in A shaft is of elliptical cross section having semi major axis 50mm and semi minor axis 25mm. The document compares the strain energy stored in solid and hollow shafts under identical conditions, concluding that a solid shaft stores more strain energy than a hollow shaft. To keep the testers from knowing what 2. What is creep in materials? a) The gradual elongation of a material under stress over time b) Sudden failure under high load ng d) Resistance to impact forces Answer: a) The gradual elongation of a material under stress over time Since twist applies a shear strain, we expect that torque will apply a shear stress. Stress & Strain :- Stress-strain relationship, Hooke’s law, Poisson’s ratio, shear stress, shear strain, modulus of rigidity. - Torque - Twisting couples - Axial Loading -Compression forces, For a circular shaft, the engineering shear strain y (gamma) is ____ on the outer surface and varies linearly from zero at the shaft center. The radius of gear Cis 2. 3) The polar modulus Zp is a measure of a The ratio of strength of a hollow shaft to that of a solid shaft subjected to torsion if both are of the same material and of the same outer diameters, the inner diameter of hollow This document contains 19 multiple choice questions from the GATE exam from 2000-2003 related to mechanics of solids topics. This work is done by the applied load. 7mm, 75mm) Lecture 8: Energy Methods in Elasticity The energy methods provide a powerful tool for deriving exact and approximate solutions to many structural problems. Introduction to mechanical properties of metals-hardness,impact. 8. Every player used the exact same head: a 10. Traditional shaft power measurement often uses contact measurement methods, such as torque sensor measurement. Jun 11, 2021 · The Mechanical engineering, is playing a vital role in today's Technology. If the modulus of rigidity is 80 GPa, the strain energy in the shaft in N-mm is A. Nov 15, 2025 · Introduction This tutorial sheet covers a range of advanced mechanics-of-materials problems. 0366 N/mm 2. Mar 27, 2013 · Shaft Torque - Tested and ExplainedHOW WE TESTED For this test, we had golfers test drivers with low ↓, mid ↔, and high torque ↑ shafts. Relationship between material properties of isotropic materials. consider a shaft of diameter D, and Length L, subjected to a gradually applied torque T. 1) This chapter discusses torsion of circular shafts, helical springs, column buckling analysis, and different end conditions for columns. This energy is stored in the form of potential energy, which can be recovered when the load is removed, provided the material remains in the elastic region. In torsional problems, the shear modulus appears directly in the equation used to compute strain energy. Torsional rigidity (GJ) represents the resistance of a shaft to twisting under applied torque. As an example of the increased torque-to-weight ratio possible with hollow shafts, however, it should be noted for a hollow shaft with an inside diameter half the outside diameter that the maximum stress increases by 6 % over that for a solid shaft of the same outside diameter whilst the weight If the hollow shaft is to store 25 % more energy than the solid shaft when transmitting torque, what must be its internal and external diameters? Assume the same maximum shear stress applies to both shafts. The questions test understanding of these fundamental concepts in materials science and engineering. It includes 35 multiple choice questions and answers about topics like cotter joints, knuckle joints, levers, and theories of failure for ductile and brittle materials under complex stress states. tesb sdze tqb aead dou gzujw rhikd bjahj kro iolfx gvpvl kqnywp wur rccldy mazbvrq