Torsion Definition and 238 Threads

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

dear all, i have just received a question about torsion. Homework Statement *************** a graph has been attached as attachment at bottom************* The objective is to find the torsion shear stress at the cross section of the "dark Grey tube". Let's have a look: 1.There is a...

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...

This is an indterminate torsional member. A hollow steel shaft ACB of outside diameter 50 mm and inside diameter 40 mm is held against rotation at ends A and B. Horizontal forces P are applied at the ends of a vertical arm that is welded to the shaft at point C. Determine the allowable value...

An electric dipole p is suspended as a torsion pendulum, which is allowed to pivot about the nz-axis only. The dipole has moment of inertia I and the torsion spring has Hooke constant K. In the absence of an electric Field the torsion pendulum's equilibrium orientation theta-not is equal to...

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...

Is anyone familiar with a rope skein like on a torsion catapult? Essentially there are two points between which a great length of rope is wound. The base of an arm is placed in the center of this oblong before both of the fixed points are twisted in the same direction. This process forces the...

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...

why torsion free metric compatible connection ? Why in conventional GR we choose a torsion free, metric compatible connection? Can that be derived from somewhere like physical principles/postulates or it's just a the simplest convenient choice (many terms drop from equations) that produces...

Homework Statement Does a torsion module M imply M is cyclic? Or does it imply M is finitely generated? I think cyclic implies torsion module. What about the reverse? The Attempt at a Solution I think there is a connection but don't see it.

Can someone pleas explain to me the geometric interpretation of Torsion? Why it is true is more important. Lol i said manifolds instead of torsion!

Homework Statement Suppose \alpha is a regular curve in \mathbb{R}^3 with arc-length parametrization such that the torsion \tau(s)\neq 0, and suppose that there is a vector Y\in \mathbb{R}^3 such that <\alpha',Y>=A for some constant A. Show that \frac{k(s)}{\tau(s)}=B for some constant B...

Hi, I've been studying extensions of general relativity with the torsion tensor and I have been wondering about the following fact: what is the physical meaning of the three indices of this tensor? That is, do these three indices represent some directions in space? (For example, the translation...

Homework Statement Find the unit speed curve alpha(s) with k(s)=1/(1+s^2) and tau defined as 0. Homework Equations Use the Frenet-Serret equations K(s) is the curvature and tau is the torsion T= tangent vector field (1st derivative of alpha vector) N= Normal vector field (T'/k(s))...

Here's something for the phone book's fans to chew on: Surprisingly, on page #1278, in the index entry "Torsion", the 3 authors claim that "(torsion) not present in affine connection if equivalence principle is valid" and hint further to page #250 where they don't debate on it. However...

Okay, so I was asked to find all the things listed in the topic title given the equation: r(t)=(cos^{3}t)\vec{i} + (sin^{3}t)\vec{j} Now this is a lot of work, especially when it comes to finding the torsion \tau = - \frac{d \vec{B}}{ds} \cdot \vec{N} a total of four derivitives. Maybe I am...

I am trying to calculate the diameter of a drive shaft. I would have thought that all I would need in order to determine the diameter of a shaft (concerning torsion) would be how much torque is going to be applied to the shaft and the shear modulus rating of the drive shaft material...

what formula should i use to calculate the shaft diameter according to the load due to bending and torsion??

Hi there, can anyone just help me in finding articles, notes, theories about Hardness tests(Brinnel, Vickers, Rockwell) and Torsion test...please

I've always wondered, and I can't seem to find out...

It's just something I am not sure and I can answer my question in another thread: In the Gauss Equation \partial^2_{i,j}(\vec{r}) =\sum_{l=1}^m\Gamma^l_{i,j}\partial_l(\vec{r})+L_{i,j}\vec{n} L_{i,j}=-\partial_i(\vec{n}) \partial_j(\vec{r}) has got something to do with the normal \vec{n}...

Is anyone familiar with the derivation for this formula for torsion. \tau = \frac {\left( \begin{array}{ccc} \dot{x} & \ddot{x} & \dddot{x}\\\dot{y}& \ddot{y}& \ddot{y} \\\dot{z} & \ddot{z} & \dddot{z}\end{array} \right)} {|v \times a|^2} I know of expressing torsion as [tex] \tau =...

Hi guys, Just a quick question. I have been attempting some problems to do with torsion. Most are pretty standard, you know, find the torque, angular rotation etc. However I am stuck on this one. I have calculated the torque and rotation for a shaft that's at its proportional limit...

I'm looking either for online resources or reference to a good book. I've been trying to help someone with a homework problem in a course entitled, Elements of Mechanical Design which uses Mechanical Design of Machine Elements and Machines by Jack A. Collins. The book sucks. The system...

Could someone please point me in the right direction for finding formulas dealing with torsion springs and also understanding more about how they work? Thanks Carla

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? Ok, I...