Torsion Definition and 217 Threads

Homework Statement I have been having a little discussion with a friend. We both know that for a spring/damper system in parallel like shown below, the associated free body diagram is correct. http://img337.imageshack.us/img337/2023/para0.jpg But when it comes to the same system in...

Homework Statement [PLAIN]http://img821.imageshack.us/img821/1089/64194000.jpg The attempt at a solution How should I get started on this one?

Torsion question can anyone help? Homework Statement For a power transmission system, a solid steel shaft is required to transmit a torque of 2000 Nm. The limiting factor is that the twist of the shaft should not exceed 5 degrees for each metre of the shaft length. The shear modulus G is 75...

I am looking at this building and wondering how building torsion is resisted as well as what role the roof diaphragm plays in it, hence what would be the shear force and bending moment diagrams...

So, is there a torsionon? I tried to sort out something, but the only thing I could find was paranormal stuff, unfortunately. So, I at least I came up with this, although no mention to torsion as a particle: http://arxiv.org/abs/gr-qc/0505081 (equation 4) Physical effects of the Immirzi...

Homework Statement A uniform meter stick is hung at its center from a thin wire. It is twisted and oscillates with a period of 5 s. The meter stick is then sawed off to a length of 0.76 m, rebalanced at its center, and set into oscillation. With what period does it now oscillate...

Homework Statement A shaft fixed on both ends is shown below. It is made of a steel tube, which is bonded to a brass core. A torque T_D is applied at location shown. The tube is fixed at both ends. [PLAIN]http://img202.imageshack.us/img202/2940/problem2eb.jpg Show that the fraction of...

If our spacetime has torsion, will it violate the conservation of angular momentum? Thx

Homework Statement How would you find the energy efficiency of a torsion catapult ? (one i built for project) I have the Force at which I am pulling the arm. F = 20N also the angle from origin to the point of release ( or when the ball leaves the arm) Theta = 50 degrees...

Hi, I was wondering if anyone could help me with this differential geometry question I've been struggling to find information on. I (at least very roughly) understand the relationship between the Frenet-Serret curvature of a curve and the Riemann curvature of a general n-dimensional manifold...

Hi, I'm reading this piece from George Cain & James Harod's multivariable calculus material. Section 4.3, which is about Torsion, says this: I don't understand how he deduces dB/ds is perpendicular to T? Where did I get lost? Following the paragraph, it seems to me that T and N...

Hi every one. I just wonder whether using Ix+Iy = J is a suitable method to calculate the Torsion Constant of a plate girders (full penetration butt weld at connection section) Since, as stated at wiki, the polar moment of inertia is only identical to J for circle tube and rod. p.s. is...

Hello, I was wondering whether it is possible or not to define Killing vectors in a manifold with torsion. As a first approach I was reasoning like: Taking as definition of killing vectors, a vector field that: any set of points when displaced along a Killing integral lines, by equal...

the beam below is subjected to a single torque of Mt=10KNm at its centre, G=80GPa find the distribution of the torque between the 2 components of the central cross section what i have done in similar questions (where i have had one free end) i have chosen T1 and T2 - the relative...

Hi everyone, What I'm looking for are good examples demonstrating torsion in homology. The basic example I know is RP^2, but I suspect there are many more good examples out there. I am interested in the topic both for fun and as part of my research. In addition, I will be teaching a class...

What role does "torsion'' play in string theory? In general relativity we assume that connection is torsion free. However from a purely geometrical viewpoint, the concept of torsion can not be ignored (theoretically) and in string theory, it is said that "torsion" does play its role. Can...

Hello all, I need some desperate help. I have a product that is mounted on four corners with 1/4-28 bolts with a shank diameter of .25. The product is mounted to a vibe table and shaken at 20g in each of the three axis. I am currently analyzing the stresses induced in the fasteners in order to...

I was watching a show about 2012, and someone named Richard Hoagland was giving theories about torsion fields. He was talking about mass changing due to rotation, and he could measure this by measuring frequency of the tuning fork of an accutron watch. He performed an experiment similar to the...

Homework Statement Consider a hollow drive shaft of length L, inner radius b, outer radius a. A constant torque is applied (we can assume one end of the shaft is fixed because we're applying a constant torque T regardless of the angular velocity of the shaft). We know material properties of the...

A horizontal hollow rectangular mild steel tube 30mm x 50mm with 4mm wall thickness and 350mm long, which is part of a frame has 2 lengths of studding 300mm long , 180mm apart and equidistant from the ends, welded to the 50mm face of the tube. A total perpendicular load of 400Kgs is...

Homework Statement In the experiment, you will study an oscillator called a "torsion pendulum." In this case, the restoring "force" is the torsion constant of the wire that suspends the weight X and the inertial term is the rotational inertia of the suspended mass. You will compare the periods...

Some time ago someone introduced me to the following scenario. Imagine you ship loads of oil rig pipes into space, and you assemble them to a length of many kilometers, and you start that long pipe spinning on its long axis. You add vibration damping, to get rid of any transverse, longitudinal...

Hi every one. As Steel Frame Manuel mostly discribe the force analysis in vertical loading, I wonder how can i solve the following case, a member that suffer torison. Is there any reference book you might suggest me to read ,too? Thanks for your kind help. The attached are the cases...

Notations: M denotes an abelian group under addtion R denotes a commutative ring with identity ann(?): Let M be an R-module and r∈R v∈M, then ann(v)={r∈R | rv=0} Terms: R-module: a module whose base ring is R torsion element: A nonzero element v∈M for which rv=0 for some nonzero r∈R...

I know that GR is essentially a Riemann theory w/o Torsion; the Levi-Cevita-Connection is symmetric and therefore the torsion vanishes. What happens when fermions are included? Does the spin-connection still guarantue that the covariant derivative comes with a torsion-free connection...

hkhk if G= Z4 x Z what would be the torsion group T(G)? and what is the factor group of G/ T(G) ?

I'm curious as to how you would write a Lagrangian for a torsion pendulum. Say you've got some disc that has mass and it's attached by a spring with spring constant k to a stationary "ceiling" of some kind and has gravity acting on it downwards. So, not only has it got rotational energy, but...

Energy "lost" in rolling, sliding and torsion Hey everybody, I have a question concerning three states and the state of energy in them. 1. Rolling 2. Sliding 3. Torsion For example: If I have a steel cylinder with diameter d on an axis (no friction in the axis) rolling horizontally over a...

I am reading a book which says that if the components of the connection vanishes then the torsion and curvature tensors vanish. Now, I understand how this happens with curvature tensor, but I don't see how torsion tensor would vanish. Torsion tensor: \tau (X,Y) = D_X (Y) - D_Y (X) - [X,Y]...

Homework Statement Shaft AB is fixed at point A and is subjected to a torque T = 2.5 kN·m applied at point B and an axial force P = 30 kN applied at point C. The actual shaft specifications (type of material, prismatic / changing cross sections are left up to us and is NOT the point of...

Homework Statement Homework Equations tao=Tc/J theta=TL/JG The Attempt at a Solution I got the torque of the motor as 210,085lb-in Then I converted the 4* to .698 rad From there I plugged it into the equations. I solved for T from tao=Tc/J then plugged that T into the...

Hello, Does anyone have any suggestions on how to approach torsion of a thin-walled thin ring/oval? so if this is a top view of the ring: O then the torque would be applied with the torque vector pointing as O--> (ring is fixed at the opposite end).

please explain the concept of Torsion rigidity giving examples.

I'm trying to design a simple torsion spring catapult to launch a 0.15kg ball at a velocity of 35 m/sec at the moment of separation. The ball will be in direct contact with the unrestrained end of the spring. As a starting point, I'm planning a 0.3m length for that "arm" end of the spring as...

Homework Statement The question is shown in the attached picture. I know how to do the first part fine,and i know how to do the second part but i keep getting the wrong answer (answers are on the back of the sheet)Homework Equations tau/r=T/J (tau = shear stress, r = radial distance from...

I quote http://en.wikipedia.org/wiki/Torsion_tensor#Affine_developments": I try to apply this to the natural connection on the tangent bundle of M = S2 (or more intuitively, of the surface of the Earth) I mean here natural connection the connection which defines the parallel transport so...

Hello everyone, How can I caculate the maximum shear stress for an eccentric torsion at a cylinder? Thanks in advance

Homework Statement There is a coupling attached two two shafts. The shafts have opposing and equal torques on them with a radius, r. Assuming the shear stress in the bolts used in the coupling is uniform, figure out how many bolts would be needed to make the max sheer stress in the shaft equal...

Homework Statement A solid circular bar ABCD with fixed supports at ends A and D is acted upon by two equal and oppositely directed torques T_0. The torques are applied at points B and C, each of which is located at a distance x from one end of the bar. (The distance x may vary from zero to...

Homework Statement Unfortunately, I don't have a picture to upload, so I'll describe it the best that I can. A prismatic bar AB of length L and solid circular cross section (diameter d) is loaded by a distributed torque of constant intensity t per unit distance. Determine the angle of...

Hi I want to calculate the change in length of a cylinder under torsional force. (e. g. material = steel, initial length 1500 mm, diameter 25 mm, one end fixed, other end 450 Nm). Can anyone point me to the proper formulae (Saint-Venant??) or data sheets. Thanks

I wonder if there are some relationships between the torsion in algebra and the torsion in differential geometry. Could someone tell me something about them?

For a system where a tubular shaft undergoes torsion, the maximum shearing stress in the steel shaft must not exceed 70MPa. The outside diameter of the tubular shaft is 50mm and the inside is 25mm How do i determine the maximum torque that can be applied to the shaft?

Homework Statement This is for a lab involving a torsional pendulum. We are given the equation below to use, but having not covered torsion, the lab manual says that "The student should look up the derivation of this formula." Homework Equations The equation we're asked to find the...

You have two parallel I-beams. A trolley with 4 wheels runs on top, and carries a total load of say 10kN. How would you evaluate the torsion? angle theta = TL/GK where (for an I beam) K = [2bt^3 + (d - 2t)(thickness of web)^3] / 3 and t = thickness of flange But, how would you calculate...

I'm reading a book where the author is trying to make a point about torsion fields. I really don't know what that even is, but I know that you all do. :-) What I'm asking is for you to read a couple of paragraphs and let me know if this even sounds plausible or if it is pseudoscientific...

I ahve always wondered why only the curvature term R_{\mu,\nu} been considered in GR. From differential Geoetry, how about the torsion tensor?

I'm trying to find the equation of a curve in R3 where k=t=a/(s^2+b) where k is the curvature, t is the torsion and a,b are constants contained in R. I've spent weeks on this problem and at the moment it's driving me nuts since I always seem to end up with an impossible integral. Any help or...

Dear all, I need clarification regarding torsion angle. In textbook torsion angle is explaining that one end is rigidly fixed another end is giving load.In this we can visualize theta where as practical application motor coupled with line(transmitting lengthy shaft)shaft i cannot visualize...

If I damp a torsion pendulum, a force will work on it given by F = -k*v, where k is some constant and v is the velocity. My question is, how can I from this calculate the torque, which this affects the torsion pendulum with? I've tried myself, however, I'm sure there's something wrong: For a...