All Questions
25
questions
1
vote
1
answer
37
views
Circumferential stress in a toroidal shell
Consider the following formula for circumferential stress (σ2) in a toroidal shell (taken from Roark's Formulae for Stress and Strain):
It seems that it has been derived by using simple force balance ...
0
votes
0
answers
10
views
Does the magnitude or range of interaction of a force affect which layer dominates the mechanical response of a multilayered structure?
Suppose I have a two-layered material, with a stiff and thin outer layer (high E) and a soft (low E) and thick inner layer.
Intuitively, it feels like the effect of short-ranged forces (e.g., van der ...
0
votes
2
answers
281
views
What is the difference between maximum principal strain and maximum in-plane principal strain?
For the purpose of answering/explaining this, it does not need to be restricted to strains (i.e., it can be stresses too). I am mainly trying to understand when to use which one (i.e., if I am ...
1
vote
1
answer
66
views
What is the meaning of the traction continuity condition in the generalized momentum balance (continuum mechanics)?
In Nonlinear Finite Elements for Continua and Structures by Belytschko and al. it is stated:
As we have already noted, the strong form, or generalized momentum balance, consists of the momentum ...
0
votes
0
answers
76
views
Building Equations of Motion
The following figures represent a model of a building, can someone help me, extract the newton equations of motion and determine the degrees of freedom.
0
votes
0
answers
15
views
Why are the indices of term of the Cauchy Stress Tensor and Maxwell Stress Tensor opposite to each other?
For CST (https://en.wikipedia.org/wiki/Cauchy_stress_tensor), the first index represents the plane and the second index represents the direction:
For MST (https://en.wikipedia.org/wiki/...
0
votes
1
answer
31
views
How to find the displacement at each interface of a composite structure subjected to shear force?
Imagine a block made of 3 horizontal layers of 3 different materials (shear moduli S1, S2, S3) and fixed at the bottom surface.
If I apply a displacement 'x1' (or shear stress 'V1') to the top layer, ...
0
votes
1
answer
53
views
How to find out the strain distribution of a block in a simple compression test?
I am performing a displacement-controlled compression test on a square block, where the top of the block is attached to a fixed plate, and the bottom of the block is attached to a movable plate that ...
0
votes
0
answers
68
views
Why carrom coins have the circular profiles on them?
Why do carrom coins have these circular profiles on them? At first I thought that this will reduce the friction as area reduces, but quickly recalled that friction for solids don't really depend that ...
0
votes
0
answers
51
views
Using Strain Tensors to Recover Stress Tensors
Disclaimer:
I am very new to the field of mechanics, my background is in electrical engineering. I apologize in advance if anything is horribly wrong.
My references are:
"First Course in FEM, 4th ...
1
vote
2
answers
191
views
Doubt related to S-N curve
S-N curve is drawn from the results of fatigue test and fatigue test is conducted under completely reversed bending stress condition on a standard specimen. Is there any reason for conducting the test ...
0
votes
1
answer
45
views
How to find Tensile Modulus of a layer of Plain Woven GFRP with GSM of Fabric given
I need to Input "E" the tensile modulus for analysis of a composite layer made from Plain Woven E-Glass Epoxy composite material.
I know the GSM (g/m^2) of fabric is 106.
Using GSM =106, ...
0
votes
0
answers
33
views
Approaching/formulating a problem in solid mechanics
Consider a thin surface and hold it tightly and vertically at a point on its boundary. What it is the shape it assumes?
As a particular example let's take a circular plate clamped on a plane, as shown ...
0
votes
3
answers
134
views
Work done by a force in a deformable body
Consider a deformable body that is acted upon by several forces at different points of application.
Under these forces, the body remains at rest but deforms and the particles have some displacement. ...
0
votes
2
answers
100
views
Is there a way to solve this complex statics problem algebraically?
This problem can be solve in 2 ways either I solve it with vectors which would be relatively painful and more time consuming and the other faster way is algebraically but I faced a problem when trying ...