Skip to main content

# Questions tagged [solid-mechanics]

Solid mechanics deals with the solid bodies subjected to various type of loading and internal forces generated due to this loading.

241 questions
Filter by
Sorted by
Tagged with
0 votes
0 answers
8 views

### Force balance condition at the interface of contact between a deformable and a rigid body

Consider a structure comprising an elastic deformable body (in pink) attached to a rigid body (in yellow) at the right side ( $\Gamma_c$ interface) and fixed at the left side. Assume a force $F$ is ...
• 113
0 votes
0 answers
32 views

### Transfer of torque from the reaction wheel to the satellite body in SolidWorks

I am modeling the impact of the moment of a reaction wheel mounted on the z-axis on the body of a satellite in Solidworks. The problem is that the moment from the reaction wheel is not transmitted to ...
• 232
0 votes
0 answers
29 views

### Variable Angle Cone

Does anyone know of a mechanism that can change the angle of a 3D cone? Similarly to how a camera shutter changes the diameter of the inner circle, it needs to be controlled by twisting or pushing a ...
0 votes
0 answers
18 views

### 5 axis CNC Milling (Conical Hole on a Cube)

Dear Community, I am using Camworks Software by Solidworks. I want to mill a conical hole on a cube. This means that the tool have to be tilted to carve out the shape of the conical curve area, which ...
0 votes
1 answer
44 views

### Design of a string

Consider a string with a mass attached. The string is fixed to the support above, and the mass is hung at the other end. Is it possible to design the string for the following two cases? The mass is ...
0 votes
2 answers
36 views

### Deriving an analytical solution for a bar under distributed torsion

Okay, so I'm considering the torsion model given by this figure: I understand that the differential equation of such bar model is given as: \frac{\text{d}}{\text{d}y}\left[G(y)J(y)\frac{\text{d}\...
1 vote
1 answer
44 views

### Interpretation of the generalized Hooke's law

I'm in the process of understanding the generalized Hooke's law for an isotropic, linear-elastic material. I've come across two formulations of the same low in Mechanics of Materials by Roy Craig Jr., ...
0 votes
0 answers
4 views

### Thermo Hydraulic Mechanical modeling of energy wall slab in camsol multiphysics

I am currently working on a complex simulation project involving an energy wall slab, and I need assistance in accurately modeling and validating it using COMSOL Multiphysics. Here are the details of ...
0 votes
0 answers
50 views

### How to geometrically derive stress transformation equations from Mohr's circle?

Consider the simple case of a 2D stress element with its corresponding Mohr's circle: Now, for stress transformation using Mohr's circle, we rotate the diameter AB by twice the angle of rotation of ...
1 vote
1 answer
38 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
21 views

### Can't find correct reaction loads for statically indeterminate problem

been working on this problem all day and I feel as if I am going crazy. I am using SkyCiv to confirm the right answer and cannot get close to it, I have messed up both my attempts at superimposing and ...
0 votes
0 answers
44 views

### Rigid body motion (RBM) transformation of interface points between a rigid and an elastic bodies

Above are pictures of a problem in mechanics. An elastic body occupying domain $\Omega$ is supported below with a fixed support and from above with a rigid body. The following calculations aim to ...
• 113
0 votes
1 answer
64 views

### Why do we include the fixed-end moment when calculating the bending moment at another point on the beam?

When we calculate the bending moment in a beam with a fixed end using the the method of cuts (determining the moment at a point $x$ by making a cut at that point in the beam) we usually include the ...
0 votes
1 answer
33 views

### DLC wear resistance

I read that a thickness of one micrometer of DLC coating (which, if I understood correctly, shows similar properties to diamond), increases the lifespan of an item plated with it from a week to more ...
0 votes
2 answers
29 views

### $𝛕_{xz}$ in the flanges of T and I Sections

When we have a T or I section under a shear force $V_y$ I usually must account for a horizontal shear force across the section's Z axis ($𝛕_{xz}$). I understand why a transverse shearing force would ...
2 votes
0 answers
41 views

### Shape of a beam that is bowed under compression?

Suppose you have a uniform beam, such as a piece of plywood that is 4 feet long, six inches wide, and half an inch thick. Suppose you cause it to bend by attaching, for example, a string under ...
• 121
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
1 answer
88 views

### Twisting of thick ring due to internal pressure

I have an axisymmetrical part that is subject to an internal (non-constant along the inner border, but constant in time) pressure (among other loads, but this is the one I am interested about) and I ...
0 votes
0 answers
99 views

### Is this metal-ball launching device realistic?

For a school project (college level in "engineering" studies), a classmate and I are trying to design a device that would propel a metal ball of about 0.8 kg to distances up to 12-14m. Its ...
0 votes
0 answers
39 views

### How to calculate the direction of shear stress due to shear force on a circular cross section?

For a circular cross section, we know that the shear stress due to a shear force at the boundary (the radius of the circle) has to be tangent to the curvature. This is so that we have no radial shear ...
-2 votes
1 answer
65 views

### Is it true that there are some principles of mechanical trasmissions and junctions that were known for long but became possible only recently?

Is this true that some parts of mechanisms, such as various types of transmissions or junctions, while were known theoretically for a long time, became possible practically only with advent of 3D ...
• 220
0 votes
1 answer
37 views

### Trying to detach a detachable handle on a meat grinder

I'm trying to detach the handle from my meat grinder. I'm not sure what this kind of lock is called but it had a crescent/half moon shape that locks against the grinding (clockwise) motion. In order ...
0 votes
2 answers
315 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 ...
0 votes
2 answers
35 views

### Rationale For Plain Strain Assumption in Long or Infinite Bars

When plane strain is discussed, there are two examples given, both of which involve two dimensional boundary stress conditions. One is a constrained object that cannot move along the third axis. From ...
0 votes
0 answers
10 views

### Vertically oriented shaft sleeve rubbing against bearing - Calculating side load due to a certain amount of tilt

At some given angle of tilt, we will perceive the pressing of a rotating SS shaft sleeve against a greased bronze journal bearing. How would you compute the side load force on the bottommost bearing ...
0 votes
0 answers
21 views

### Specific Heat, Pore Fluid In ABAQUS

I want to model a problem that the theory behind is in the "Coupled Pore Fluid Flow and Stress Analysis" context that there is in the ABAQUS online documentation, version 2022. The link to ...
0 votes
1 answer
15 views

### Mechanics of Materials Method for Curved Beam with Different Centers

The common curved beam theory covered is the Winkler method (e.g. in Johnston and Beer, or Boresi and Schmidt). As can be seen by reading any derivation, this method applies to beams with a common ...
0 votes
0 answers
260 views

### Error while using VWRITE command in ANSYS APDL

I am writing code in APDL for a nonlinear structural analysis of a plate. Following is the Post processing part which returns a formatting error. Help will be appreciated in identifying the problem ...
0 votes
0 answers
26 views

### Moment at the end of the shaft, after a bearing?

I have an application with an interchangeable load. That can be swapped in a machine. The bearing and break are both mounted to different sides of the same plate The load is placed on two shafts that ...
0 votes
1 answer
100 views

### Does gold have elastic behavior?

I know structural steel is considered to have an elastic behavior and after a certain deformation, it has a plastic behavior. How about gold metal?
• 151
1 vote
1 answer
77 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.
• 13
0 votes
0 answers
13 views

### Plane strain delamination on bilayer material (conversion from material stress state to residual force and moment)

I have been reading the book The Mechanics and Reliability of Films, Multilayers and Coatings (https://doi.org/10.1017/9781316443606) on chapter 4.2 and got stuck in chapter 4.2 and 4.3. Suppose that ...
-1 votes
1 answer
57 views

### Which design is most resistant to tipping against 90 degree downward force?

Have a question sort of related to question at (What calculation to find how much force before tipping over?) but with slight modifications. Trying to weld some tubing together and onto a heavier base ...
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
2 answers
325 views

### Why do two simply supported beams stacked on top of each other deflect more than a single beam of twice the thickness?

If the thickness of each beam in the stacked configuration is 't', the thickness of the single beam is '2t'. Explanations in terms of Euler Bernoulli beam theory, or any other explanation that is ...
0 votes
1 answer
33 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
2 answers
159 views

### Optimal shape for cantilever beam subject to body weight only

How can I find the optimal shape of a cantilever beam subject only to its own weight, and having the following restrictions? The cross section is a rectangle Only the height of the rectangle can vary ...
0 votes
1 answer
54 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
1 answer
93 views

### Thin wall pressure vessels: local stresses in bends

How can I calculate the stresses in corners where different geometries meet? This image is a quick example of the positions i am referring to. Additional information In class we studied the membrane ...
0 votes
0 answers
69 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 ...
1 vote
2 answers
212 views

### Problems in the application of the first theorem of Castigliano for a cantilever beam

I'm having contradictory results while applying the first theorem of Castigliano for the cantilever beam shown in the figure above. Due to P and the restrictions on point $B$, it will have a bending ...
2 votes
0 answers
92 views

### Thermal Expansion and Stress in a Heated Beam

Consider the case of a beam that is supported in such a way that expansion can occur freely. Suppose that the beam is heated in such a way that the temperature varies with the depth of the beam. Let \$...
1 vote
0 answers
95 views

### How can I recover the deformation gradient from the finite element strain result

I have performed a finite element simulation which corresponds to the example in https://de.wikipedia.org/wiki/Deformationsgradient#Beispiel . The result from the theory in wikipedia is the following (...
• 11
0 votes
0 answers
52 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 ...
• 15
1 vote
1 answer
57 views

### Potential Problems of Excessively Hard Shaft

Will there be any issues if we make the shaft too hard? Hardness being a surface property may prevent surface scratches and wear, could it lead to any problems in general?
• 88
1 vote
2 answers
435 views

### Infinite life of a material, Fatigue Strength

After 10^6 cycles a component is considered to have infinite life. What makes 10^6 cycles a deciding factor for infinite life? Why not 10^8?
0 votes
1 answer
65 views

### In the context of Beam Deflections If the moment curve has a discontinuity, how do we account for it in the slope and deflection curve?

In reality if we load a beam within the elastic range of the material, it forms a curve that can be represented by a mathematical equation. But if the moment curve has a discontinuity it must mean ...
0 votes
2 answers
30 views

### Is the a similar method of calculating moment in inelastic bending like in the case of torque for inelastic torsion?

When calculating for Torque in torsion or for Moment in the case of bending, the concept is usually first introduced with the simplification of the assumption that the stresses and strains are in the ...
0 votes
1 answer
27 views

### Failure of component due to natural frequency vs stress

lets take a component like a fan blade as an example. Is it right to conclude that it will fail even when the stress is within permissible limits but its operating frequency is close (close enough ...