# Questions tagged [mathematics]

For engineering questions involving mathematics. For pure mathematics problems, please visit our sister site Mathematics Stack Exchange.

183 questions
Filter by
Sorted by
Tagged with
4 views

### Maximum Deflection for simply supported beam under arbitrary triangular loading

I am trying to get the: maximum deflection location of maximum deflection deflection at any point For a beam under an arbitrary triangular load (i.e. a, b, c, and w can vary). I tried to solve this ...
1 vote
49 views

### Use of 'parameter' in engineering?

Is there a different meaning to the word of 'parameter' in engineering? I've started in engineering from a mathematics/physics background, and commonly a 'parameter' is either used to 'parameterize' a ...
• 121
38 views

### Timoshenko Fixed Fixed Total Beam Deflection

I am trying to solve a problem where there is a fixed-fixed (clamped-clamped) beam with a point load in the middle (at L/2). The L/H is less then the 10 required for normal beam bending analysis and ...
56 views

### Why $\frac{m}{V}$ gives average density when density varies?

This might be a very basic question, and for years I have gone by simply accepting it as a fact. That whenever the density is uniform the formula $\frac{m}{V}$ gives that uniform value of density and ...
1 vote
73 views

### Why stopping at the first derivative in conservation equations?

Oftentimes we, as engineers, have to write energy/mass/momentum balances to derive the governing equations for a quantity $\phi(x,t)$ of a physical system. One of many derivations of such balances ...
• 129
21 views

### Why are square Intergrable functions bounded? How is it related to L2 functions and Hilbert spaces?

To approximate the weak form of linear elliptic pde to solve Elasticity problem, we use L2 functions and Hilbert space. In that, I read that Square integrable functions are bounded. Why is that true ...
92 views

### How to analyze strongest (honeycomb?) structure?

To be specific I have a structure consisting of a solid material (eg PLA) consisting of a top horizontal slab (eg 3 cm x 3 cm x 0.5 cm) and a bottom horizontal slab (translated vertically, of the same ...
1 vote
50 views

### How to calculate the degrees of freedom, constraints and the generalized coordinates in this dynamic system

The rope lengths are taken to be constant. Solution: $N$ particles with $k$ constraints. . Then the Degree of Freedom (DOF) is $3N-k$. In Figure 1, we have two particles $m_1$ and $m_2$, so $N=2$. But ...
38 views

### How to show that the infinity norm obtained in the problem given below is correct?

I found the following example problem in page 178 of the book "Nonlinear System" by Hassan K. Khalil, Third Edition. The objective of this problem is to show whether a system is input-to-...
• 215
67 views

### How to calculate scaled speed

While working on a project I faced a difficult problem. Let's say I have car at a 1/10 scale. Now if a real car drives at 10 m/s, it would take 3 seconds to travel 30m. If we look at the scaled car ...
• 101
55 views

### Calculations of a sphere

I apologize if the question is very basic, I admit I'm not the best at math and physics. I am doing an experiment with a sphere, the measurements are as follows: The sphere has a diameter of 330 mm (...
32 views

### Can the Dynosheet be read as a Fourier transform of some sorts?

I've done some quick google search on dynosheet, and what it does is that it measures the power output of the car with respect to its frequency. My initial understanding of the dynosheet is that it ...
67 views

### How to Determine a Valid Relationship Equation Between Two Finite Datasets -- Python, Matlab or Other [closed]

I struggled to find a clear solution online so I'm resorting to asking a fresh question. I have two finite datasets (call them 40x1 vectors) that are equal in length and generate non-linear curves, ...
30 views

• 2,167
1 vote
57 views

### FE Exam practice: "How many years until you're a millionaire?" [closed]

One of the early questions in the NCEES FE Industrial/Systems Exam studyguide has a solution that I can't decipher. The question is as follows: ...
1 vote
226 views

### Infinitesimal Strain Tensor in Cylindrical Coordinates

How can I obtain the below formulas of infinitesimal strain in cylindrical coordinates using matrix calculation given the first formula? I find it hard to study them because I still don't know how to ...
• 183
64 views

### Stretch in Infinitesimal strain theory

In the picture above we have the expression of stretch with respect to strain tensor, but in case of infinitesimal strain theory, we take stretch equal to 1+T.E.T I don't understand why by taking ...
• 183
1 vote
90 views

### What's the name of the calculus used to make smooth transitions in roads?

So I'm not actually an engineer, I'm a novice computer programmer but I think in order to solve a problem I have I'm going to need some help from the world of engineering. I remember in high school ...
• 13
327 views

### Determine the parameters for this given nyquist plot

I have seen quite many of this type of question and I want to find how to solve them but I haven't cracked it yet. For example this is one: My thoughts so far: Replace $$s \rightarrow j\omega$$, G(...
• 135
33 views

### Could tic-mark labels on a graph have individual decimal digits with different signs?

I'm currently looking at a graph (figure 5 of Ede (1967), "Advances in Free Convection", in Hartnett and Irvine (eds.), Advances in Heat Transfer vol. 4, New York: Academic Press), in which ...
1 vote
119 views

### Statically determinate system

The exercise is taken from linear algebra and its applications, prof. G. Strang Exercise 2.4.8 Truss I have already found that: m=n=8 → system is statically determinate, therefore solvable by ...
63 views

• 218
32 views

### Are gas distribution networks tree-like?

I was wondering, if it is justified to say, that gas distribution network graphs (primarily in Europe) are typically tree-like. By gas distribution networks I mean municipal and regional distribution ...
1 vote
187 views

### How to calculate the torque for motors for a Core XY movment?

I am trying to design a simple setup that follows the core XY movement shown: I have been researching the statics behind this movement in order to calculate the minimum torque for the motor so I ...