Questions tagged [stresses]

362 questions
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Does the bearing stress vary along the bolt?

I'm currently working on problems for my mechanics of material course, and I just learned how to calculate the shear stress on a bolt holding stacked plates. That whether it be a single or double shear, I have to account for every shear plane.…
Skipher
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Stress-resistant, elastic materials

I am currently looking for materials, which return into their relaxed form/ position after intense bending/ stretching. Could you please let me know what is the name of this mechanical property, so that I could search further on this topic? Do you…
Anfad
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How can I visualize shear stress concentration?

I have seen plenty of diagrams showing parallel axial stress lines to aid in understanding the stress concentration around corners and other things. But this doesn't seem to be a good visualization for shear stress concentration. For example, in…
Benjamin
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Hook's law - beginner's question

Under Hooke's law, we know that sigma stresses are responsible for volumetric strain, while shear stresses are responsible for the formation of form strains. In a lecture at my university it was shown as follows (drawings). However, one thing…
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Determine Bolt dia from Shear stress and force

The Diagram below shows a lap joint where two plates are held together by a bolt. The applied force (F) is $42~\text{kN}$ and the shear stress is $593~\frac{\text{N}}{\text{m}^2}$ Assuming that the joint will be held together by a standard metric…
Kyle Anderson
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Shouldn't brittle materials be the ones failing under shear deformations?

It is known that brittle materials tend to fail under normal stresses, that is, tensile or compressive stresses. Brittle materials often are bound together into crystals by ionic bonds between atoms, with alternating positive and negative charged…
S. Rotos
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Mohr's circle: maximum normal stress tensor

Given: $$ \sigma_{ij}= \left[ {\begin{array}{cc} -20 & 60 \\ 60 & 90 \\ \end{array} } \right],\quad i,j=x,y $$ I want to find the principle stress tensor $\sigma_{ij}^{pr}$. Using the Mohr's Cirlce, I…
Andrew
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2-D Plane Stress Transformations

My strength of materials book provides the following equation to determine the x-component of the normal stress acting on all possible planes of a two dimensional element. $$ \sigma_{x^{\prime}} = \frac{1}{2}(\sigma_x + \sigma_y ) +…
Nukesub
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Internal stress tensor associated with centrifugal/centripetal load

I have some trouble to understand the relationship between internal stress tensor and the external traction force (in this example, the traction force is a volumic centripetal force). Consider a cube made of a very high elastic modulus homogeneous…
Zihan Shen
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Consistent length in beam theories

From my understanding, the Euler Bernoulli Beam theory is mostly used for small angle displacements, and an implication of this assumption is that the length of the beam is subject to distortion and stretching, meaning that when the beam is bent,…
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Maximum Normal Stress From Mohr's Circle

Given This Diagram, I am to: Determine Principal Stresses (My Ans: 92000 and -8500kPa confirmed with Answer Key) Determine Max Shear (My Ans: 50500 kPa confirmed with Answer Key) Find the Angle between the plane of the maximum (positive) shear…
GentlemanS
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Equation for finding the thickness of material required for tubes under radial stress

From the book "Design of Liquid Propellant Rocket Engines". Under stress analysis related pages, the author used an equation for finding the thickness of the wall needed for sphere under stress. $$\text{Thickness of sphere wall} = \dfrac{\text{Yield…
Raze
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Rigid Body Rotations and Engineering Strain

Problem Consider the following 2D rigid body in the $x$-$y$-plane, which is rigidly rotated around the $z$-axis with the angle $\beta$: (Image Source: Continuum Mechanics - Small Scale Strains - Limitations of Small Strain Equations - Effect of…
Discbrake
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Why ships have extremely thin plates?

The thickest plate of the famous Ever Given as an example with its 400 meters length is 30mm thick. And a good part of its skin is even thinner. If we compare with a car 2 meters long it is amazingly thin. Well, the skin is thin and there is a…
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An analytical expression to calculate the stress triaxiality for a single notch sample

As far as I know, there is a formula (Bridgman) for the calculation of stress triaxiality for a sample having a notch on either side or for a flat grooved sample. Now my question is, if I have a sample just having a single notch on one side can I…
Zolo
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