All Questions
Tagged with mechanical-engineering solid-mechanics
111
questions
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Design a string
Consider a string with a mass attached. The string is fixed to the support above, and the mass is hanged at the other end. Is it possible to design the string for the following two cases?
The mass is ...
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2
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210
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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 ...
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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 ...
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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 ...
- 1,290
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how to determine the direction of support reactions in a truss?
Hi, I am not sure how to determine the direction of support reactions at point A and K. I know point A has a pin support, therefore, it can take in horizontal and vertical loads and point K has a ...
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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, ...
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2
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281
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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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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 ...
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1
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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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3
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634
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Honeycomb structures vs shear stress
Honeycomb structures are made of top and bottom shells and honeycomb geometry at core. In terms of bending load, maximun normal strains take place on top and bottom hence, sheet parts can support them ...
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1
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683
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Relationship between shear moduli in an orthotropic material
I'm confused what the relationship between each of the shear moduli are in an orthotropic material. From what I understand, there are 3 independant major shear moduli, G12, G13, and G23. They each ...
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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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39
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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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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 ...
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