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.

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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 ...
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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 ...
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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 ...
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$𝛕_{xz}$ 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 ...
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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 ...
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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 ...
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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 ...
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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 ...
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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 ...
GioByte10's user avatar
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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 ...
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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 ...
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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 ...
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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 ...
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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 ...
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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 ...
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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 ...
Poisson Aerohead's user avatar
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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 ...
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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 ...
Murtaza Bahrainwala's user avatar
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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?
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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 ...
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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.
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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 ...
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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 ...
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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/...
SNIreaPER's user avatar
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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 ...
SNIreaPER's user avatar
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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, ...
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Why is there a lack of data and analysis of elastic range of PTFE (Teflon)?

I am looking for the proportionality limit and elastic limit of PTFE (Teflon). There are several papers which reported the mechanical behavior of PTFE in tensile test. However, almost all of those ...
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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 ...
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CNC a hemisphere in SolidWorks

Dear all, I am currently learning CNC Milling software. I have successfully be able to simulate the toolpath for milling a square block to a hemisphere. May I ask how to add another operation, that is ...
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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 ...
SNIreaPER's user avatar
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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 ...
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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 ...
Suryakant Thakur's user avatar
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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 ...
Thiago Oliveira's user avatar
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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 $...
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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 (...
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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 ...
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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?
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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?
Reo Ashwin's user avatar
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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 ...
raconteur's user avatar
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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 ...
raconteur's user avatar
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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 ...
AJAY SARAF's user avatar
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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 ...
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Why does the torsion in a circular bar result in shear stress along the axial direction?

In the case of pure torsion, how does a differential area on cross-section of the cylinder with dx length undergo a shear force that is perpendicular to the cross-section ? I can understand that a ...
raconteur's user avatar
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Why is it that plane stress varies?

Take the simplest example of some uniform bar being stressed by a force N, I understand that we need to adjust an angle to determine the stress in terms of shear and principal stresses on that plane, ...
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Investigation of Body Motion in SolidWorks: Euler Angles Rate or Angular Velocity?

This is my first question in this community. I decided to demonstrate my problem on simple rigid body, but task may be applied to more complex shapes. So, a cube is built in SolidWorks: Using the ...
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Finding the bending moment diagram for an indeterminate continuous beam

In a recent lecture, we had the following example of an indeterminate continuous beam where we must find the redundant support reaction at $A$: This was found by removing the support at $A$, and then ...
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Which CNC gantry support shape is more ridgid?

I'm in the process of designing a small CNC. There are two styles of side plates for supporting the gantry. The first one has an angled corner cut on the front, while the other has a backslash shape. ...
user148298's user avatar
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Reference geometry for a 3D arc in SolidWorks

Spherical Parallel Manipulator in SolidWorks I am drawing in SolidWorks a 3D arc with two holes on the edges. An axis of rotation passes through the center of one of these holes, around which the arc ...
dtn's user avatar
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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, ...
Rehan Jamshed's user avatar
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Conversion of elastic moduli for plane stress case

For isotropic material an elastic modulus, like Young's modulus and in combination with a Poisson ratio can be used to convert to any other elastic modulus, like for example the bulk modulus. Tables ...
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