Questions tagged [mathematics]
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238 questions
0 votes
1 answer
32 views
Why is the offset yield strength calculated this way?
To calculate the offset yield strength I have been taught to draw a line on a stress-strain graph from the point (0.2%, 0) at the slope of the material's Young modulus. The y-value where the line ...
- 103
0 votes
1 answer
92 views
Gimbal lock using a Triple axis gyro sensor
Suppose I have a satellite which has 3 reaction wheels, one for rotating the satellite about each of it's axes and an IMU. Can anyone give me an intuitive explanation of how gimbal lock can occur in ...
-1 votes
2 answers
85 views
What does the upper case sigma letter mean, in this specific equation?
I don't understand this equation. Is the lower case n a superscript? I found a similar equation in a google search with a sigma symbol but some of the symbols were different and I found nothing ...
- 1
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3 answers
190 views
Hole patterns in square metal sheet—which is most robust while minimizing weight?
Implementing some DIY devices, I stumbled upon the following very specific design question which involves physics and mathematics: I need to reduce the mass of a square aluminium sheet (e.g. width ...
- 1
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2 answers
90 views
How do I calculate angle and radius constraints for this design?
I'm trying to sketch a path, in FreeCad, that consists of arcs and line segments. I know the lengths of each (arc lengths $s_1$, $s_2$ and line length $a$), but FreeCad sketches don't support arc ...
- 1
1 vote
1 answer
91 views
Discrepancy in Wikipedia article about screw dimensions
I've put together a look up table for myself for tapping & screws, both metric & imperial. Now, my concern is the $D_{min}$ in both of the Wikipedia article on both metric & imperial: ...
- 129
0 votes
1 answer
327 views
What formula do I use to calculate the pneumatic trail?
This is a quick and simple question. I wanted to know what formula I use to calculate the pneumatic trail of a tire without knowing the self-alignment torque (SAT). This is because I wanted to ...
0 votes
0 answers
43 views
Discrepancy in cylinder volume equation derivation in Kirkpatrick's "Internal Combustion Engines"
I'm working through Alan Kirkpatrick's "Internal Combustion Engines" 4th edition textbook and encountered what appears to be a discrepancy in the mathematical derivation of the non-...
- 1
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37 views
Comparison between Inglis and Griffith models of stress in Fracture Mechanics
I am reading the book "Fracture Mechanics: Fundamentals and Applications" written by "T.L. Anderson". First, we have what Inglis has derived: The stress concentration at the tip ...
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1 answer
54 views
Getting the intuition of the Laplace transform giving as a function in a frequency domain from a function in the time domain
I struggled since the first time I went to a Control Engineering course to understand why is the Laplace transform giving us a function in the frequency domain (which has meaning from a physical point ...
- 101
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0 answers
37 views
surface area of trilobes and quadrolobes
I need to calculate surface area of trilobes and quadrolobes that is corresponding to a cylinder. For example ı have a 10cm diameter cylinder but what is the diameter of 1 cylinder in that trilobe and ...
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0 answers
58 views
Geometric Modeling of Arbtirary $3$D CAD surfaces
Given an arbitrary $3$D CAD model (in STL, STEP format), is it possible to convert the model into a function $z = f(x,y)$, where $x$ and $y$ are points on the $3$D model/surface? In other words, how ...
0 votes
1 answer
102 views
aero thermofluids Bernoulli equation
Oil of relative density 0.8 flows at a volumetric flow rate of 0.216m3/s through a falling pipe which tapers gradually in the direction of flow. At point A in the pipe the diameter is 600mm and the ...
0 votes
2 answers
94 views
Computing 2nd polar moment of area for complex compound profile
I am trying to conduct a torsional analysis of several specific shafts. The section profile of the shafts are round with an arbitrary number of evenly spaced circular cutouts (in this case 4) around ...
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-1 votes
2 answers
57 views
Basic units conversion
I have an aluminum building material whose technical spec sheet says its density is 2.70 and density units are given as (kg/m3) × 103. I also know 1 kg of the material costs 3 USD. What would the cost ...
