Solid mechanics deals with the solid bodies subjected to various type of loading and internal forces generated due to this loading.
Questions tagged [solid-mechanics]
232 questions
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Understanding Castigliano's First Theorem Proof
I'm trying to understand the derivation of Castigliano's first theorem in the book Fundamentals of Finite Element Analysis by David V. Hutton, which goes as follows.
The strain energy is defined…
QED
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Calculate the residual stresses in the bars and the residual displacement of the $ C $ point when the $ P $ force is removed
Consider the rigid bar $ ABC $ linked to two bars, $ AD $ and $ BF $, as shown in the figure.
All bars are made of mild steel which is admitted to be an elastoplastic material ($ E $ = 210 GPa,
$ \sigma_Y $ = 250 MPa) but the bar $ AD $ has a…
user28922
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Determine the value of the largest $ P $ load that can be suspended at the $ E $ point without the vertical displacement at that point exceed 0.25 mm
The figure represents a rigid bar $ BCE $ connected to two steel ties $ AB $ and $ CD $ ($ E $ = 200 GPa).
The rods are connected by joints at the ends and have a uniform cross section of 6 $ \times $ 25 mm $ ^ 2 $.
Determine the value of the…
user28922
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3 answers
Is a beam is subject to axial load, does it mean that deformation is the same in each point?
If we look at a cross section at any point, stress will be the same $\sigma=F/A$ and the hooke law says that $\sigma=E*\epsilon$
It means that the deformation will be constant throughout the beam, which obviously can't be correct. So what am I…
user1477107
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Plastic Multiplier for Perfectly Plastic Materials
I'm trying to apply the associated flow rule to elastic-perfectly plastic material,
i.e.,$$d\epsilon_{ij}^p=\lambda\dfrac{\partial f}{\partial \sigma_{ij}}$$,
where $f$ is a yield function with no hardening variable, $\lambda$ is a plastic…
Lang
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Can stress be generalised to points?
I know we can talk about a 'stress' in an area for which a 'uniform' force acts, can we generalise this to the stress at each point in the area, by making smaller areas around a point such that:
Over the area $S=\frac{F}{A}$ we can determine that…
user1007028
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Would poisson's ratio also result in stresses in lateral directions?
This is kind of like a basic question which students might ask in their bachelor's level of education, which I want to refresh my knowledge about. So if I apply a load in a single longitudinal direction, say $X$ direction onto a material having a…
Rameez Ul Haq
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Transformation of 8mm straight motion to 210 degree motion
Everyone.
I want to make the transformation form Straight motion to Rotational motion ,like [this].1
So I made .
But it did not work.
Probably, this was mistake of Groove size on spiral groove.
But I thought I must know the formula between red…
setuko mori
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how to find the tension matrix knowing the extensions
At a point $ P $ on the surface of a body, the rosette of 45 gauges indicated in the Figure is glued, whose readings are $\varepsilon_1 = 2 \times 10^{-6}$ , $\varepsilon_2 = 1 \times 10^{-6}$ e $\varepsilon_3 = -4 \times 10^{-6}$, respectively in…
user28922
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Determine two values of σ22 for which the maximum shear stress is 80 MPa
Determine two values of $\sigma_{22}$ for which the maximum shear stress is 80 MPa
i know that
\begin{equation}
\sigma_{ij} = [\sigma]^\top =
\begin{bmatrix}
\sigma_{11} & \tau_{21} & \tau_{31} \\
\tau_{12} & \sigma_{22} & \tau_{32} \\
\tau_{13} &…
user28922
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2 answers
What is the steel used for CHC DIN912 class 12.9 exagonal bolt?
I would like to know which steel is used for CHC class 12.9 bolt DIN912 (i am looking for the young modulous & poisson ratio of the material).
Thanks a lot.
Alexandre
rdpdo
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How can we model viscoplastic softening using slider, dashpot & springs?
I am working on a brittle material which shows elastic behaviour followed by viscoplastic softening & hardening in the end (in compression with accumulating damage). I am not able to think of an arrangement of Spring-Dashboard-Slider system to…
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Importance of equilibrium and compatibility equations in elasticity
What is the importance and relevance of equilibrium and compatibility equations in elasticity. What problem do they solve?
user753024
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Buckling in Columns
The following images are taken from Mechanics of Materials, Ferdinard Beer et al. 6th ed (2012)
Just wondering that why the effective length of the column is taken 0.7 L (highlighted in the sample problem) ? Souldn't it be 0.5 L since in the xy…
Yousuf Khan
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Thin Wall Moment of Area
Hi there, how do you find the moment of area about the x and y axes (at centroid)?
Dimensions are given as in the picture and thickness "c" is constant throughout.
Toby
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