The Maths I Use as a Structural Engineer from University
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- Опубликовано: 16 мар 2021
- Maths is a fundamental part of any engineer I will go through the maths I use as a structural engineer. The maths covered will range from general maths to structural mechanics and should provide you with some ideas on what Maths I use in my structural designs.
The amount of maths is extensive in a structural engineering degree, however, the amount of maths use as a professional engineer is much less as designs need to be complete quickly. So it is critical that all structural engineering have a solid founding in mathematics and know what maths are required.
Structural mechanics is also fundamental as this can be used to assess complex structural model and understanding structural mechanics allows for modelling errors to be detected.
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My name is Brendan and I am a structural engineer with over 15 years of experience based in Australia. I have a wide variety of projects from very small to some of the biggest in the southern hemisphere. I have a passion for good structural design and teaching/mentoring.
This channel is to share my passion for engineering and provide entertaining short clips on:
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- design approaches
- Review past engineering failures to improve structural knowledge
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I found that the Math I use on a daily basis is actually quite basic compared to what's been covered in University. I love how you go into detail on some of the topics like the interaction between Shear Force diagrams & Bending Moment diagrams, shortening of columns, material characteristics and load paths following the stiffest routes, etc. Thanks for another great informative video! Those little nuggets are worth so much, even for someone like me who's been designing for a while. I also appreciate the links to resources!
Thanks, Theuns. I agree more of the maths we use on a regular basis in basic, and the real benefit of we learnt at university is how to think and approach a design and think. glad you found the informative.
You have no idea how much you inspire me on pursuing structural eng'g. I'm a civil engr and it's my dream on becoming a structural engr not because of the "master's degree" but just the education is what I'm craving on. All my current savings are for my wedding and future family. And I'm positive on pursuing my dream after my marraige (I'm turning 32).
Great comprehensive video! I think it's really important for students (high school and college) to understand how and why math is used in real-world applications.
As a student always wondered "Why do I need to know this stuff?" when it came to some courses. Now, as a structural engineer, I finally understand how/why math is used in the real world and the importance of understanding the mathematical functions my program is using (garbage in garbage out...)
I think I may make a similar video for high school students...
Hi Daniel. It can be hard to see the real-world applications to the maths we learn, and the benfits behind learn certian concept. look forward to seing that video.
As a civil engineer practicing structural engineering, I can honestly say that the way you present our profession is right on spot.
Hi Frank, glad that you have similar experiences. Thanks for watching
@@BrendanHasty I'm currently on China and just finished my undergraduate and would really love to be in Australia to practice and learn in depth what I have learn and more. I wish we could connect. Possibly be a mentor can also work as the Covid has made things hard for everyone.
Thanks Brendan for another Great video. Very enlightening and helpful in furthering my understanding and knowledge.
I do enjoy your videos and whenever I'm on RUclips, i make sure to watch and rewatch your content. Your content is great and It is evident you speak with substantial experience in the subject matter, just one thing I would like to ask, if you could maybe include subtitles of the words you are saying, so that it can be doubly engaging on the viewers minds activating both audio perception and reading and comprehension.
Sometimes I find myself being carried away by the video and images and I'm hearing your words but not really listening
I feel if you make this one addition, your videos will be at minimum, DOUBLE as good 👍
Anyways, thanks for all your hard work always
Hi Allan thanks for the support and suggestion on improvements. Dose the Autogenerated subtitles have a issue?
Thanks that was very useful. Future generations who will watch these videos will also thank you.❤️
Thanks Shaazu Glad that you enjoyed it, and hope your prediction is true.
Thank you for highlighting that, however, some parts of Differential Equation subjects are essential to understanding deflection phenomena in some non-standard beams and dynamics problems in buildings and, most importantly, bridges.
Hi agree on understanding differential equations. As mentioned it is more important to understand the relationship between them as you can more completely understand the structural mechanisms.
Love this, thank you mate.
Thanks Huu, glad you enjoyed it.
You should publish a maths book tailored to the construction industry.
HI Brendan, Could you talk a bit about shear flow, and the practical use of this theory? Thanks
Hi Albert, thanks for the suggestion, I am assuming you mean in concrete or do you many in all materials in general?
You are very helpful man
Hi Natnael, glad to provide, thanks for the support.
I'm frequently solving quadratic equations so long ago I memorized the solution to that. I also sometimes have to solve a couple of equations with 2 unknowns.
Hi Bill, thanks for the support. agree Quadratic solution is something that is good to memorise.
hi, I'm an Italian freelance structural engineer, in my daily practice I use a lot of linear algebra and systems of equations. As for the statistics, it is essential to decide the various tests to be performed on existing materials and buildings, and how to interpret the results (we are in Italy, most of the work is on historic buildings).
Calculus is essential, to validate the calculations that return the software, as well as to program the software.
As for the FEM, it is the basis of the routine of most structural engineers. Unfortunately, many colleagues blindly trust the programs (often too user friendly) and are not aware of what they are doing, unable to dominate the amount of numbers and data. Again, here too, manual validation of the software outputs is needed for every project, whether structural or geotechnical.
Obviously, software is used in the everyday profession, but it is necessary to know the behavior of the structures, and evaluate the goodness of the results.
PS "just ask which software should I use" THANK YOU, HALELUJA. finally someone who says it. each project is your responsibility as an engineer, not that of the program.
we are engineers, not clicker monkeys who input data
Hi Paolo, thanks for your comments; I totally agree too many people trust the Black box that is the design software.
Green's theorem!! Is the most import theory I was never thought. It is extremely usefull to solve area (A)/centroid (cx&cy)/moment of inertia(Ix&Iy) for any (not self intersecting polygon)
I was thought silly stuff like split the polygon up in different shapes standard shapes like triangles and rectangles.
For solution (of area) in excel:
Say we have polygon that can be described by 10 points (note that the last point is always equal to the first point, to close the polygon).
(0,0)
(3,-2)
(5,-1)
(7,1)
(6,2)
(5,3)
(2.5,3)
(1,2)
(0,1)
(0,0)
Say that my first x coordinate is in cell A1 and my last x coordinate in cell A10 (the value in A10 matches the calue in A1). And the Y coordinates are in B1 through B10. The area of this polygon is: 0.5x(sumproduct(A1:A9,B2:B10)-sumproduct(B1:B9,A2:A10)) = 22.75
Note if points are defined in clockwise order the area is negative. If the area you want to know must always be positive add ABS(...) in the excel equation.
Can you imagine the silly amount of time I would spend splitting it up in triangles&rectangles and having to redo the equations when adding or changing a coordinate. In addition you can now easily plot the shape in a graph and this is a great visual verification of your input.
Edit: the polygon can be self intersecting when the area on one side of intersection is positive and negative on the opposite side of the intersection (as at an intersection the order of the points changes from clockwise to ccw or vice versa). For example a shear line passing through 0, the area below the intersection is negative and the area above the intersection is positive (or however you define the positive direction offcourse).
Thanks for watching and the suppport, geometry is every intresting it is used alot in parametric design.
I’m a sparky but Love watching these videos
Thanks Jimmy, glad you are enjoying my videos. Hope it give you more insight into building design. Any topic you are interested in let me know and may cover it in the future.
Thanks mate
Hi Michael, thank you for your support and hope you found it helpful.
@@BrendanHasty thank you so much was really helpful as i am about to graduate in December
HI Brendan, I'm a 38year old carpenter apprentice.
When working in the carpentry jobs on site, I always think why the structure is designed, such as: if the post depth is shorted how will it be a concern to a house, why an installation using 3 screws not 4 screws, etc. That's make me considering to study structural engineering for interest and maybe even helping me in design a house structure in future.
However, I'm already 38, I need to work for my bill, I dont' have so much money and time to study a full-time degree. Could you give me some suggestions? Any website or short course, etc. suitable to me to have a beginner start to learn about structural engineering? I still don't know if I really want to study a bachelor or master of it.
I performed bad in pure mathematics in high school, these two days I tried to have a quick look about the maths I learnt in high school, I have some confidence I can do better now.
At this moment, I don't really imagine I will be a certified structural engineer to build a bridge or skyscraper, but I actually want to learn the art of how structures are designed and calculated?
Thanks.
As always, thanks Brendan.
thanks for watching and commenting Takunda.
Will job opportunities be possible to obtain in the structural design field after two years in the private contracting field? How competitive will it be to make this transition with no design experience?
Im in my 4th year civil engineering and still has no clue whats happening in this major but according to my transcripts I keep passing with 80% above in my subjects.
Hi Joseph, great results you will find there is soo much to learn in engineering maybe you are just realising how much you do not know.
The problem during our Engineering studies, most of us are focusing on our results and Percentages. And we miss the clear understanding of the subject. I believe, it’s high time the Educational system specifically for Engineering shall be modified, it should be more practical rather than running for the result percentages. But if a fresh Engineer wants to be hired by a good firm, sure there are percentage slabs to be get selected, a guy with 90 percent marks may not know what is the exact relationship between SFD & BMD but an Engineer with avg marks May be master of it . This run for percentages has killed the professionalism, I believe.
New subscriber. It would be interesting, Maybe you did this already what would be a selection of the best structural engineering books to learn the subject from first principles don’t shirk the mathematics (I am a mathematician). Graduate books that are comprehensive texts maybe best.
I suppose you have covered the role of CFD and FE methods in your subject domain already in one of your videos.
Hi Math Man, I do have a video on books but if you want a great book on structural mechanics Roark's Formulas for Stress and Strain
It is maths heavy. Typically as a structural engineer we do not do much with CFD, tho I have been playing around with it for wind loads. As for FE this is something I use daily tho it is handled by computers so most structural engineers do not know how it actually works.
@@BrendanHasty thanks man I will look for the video on the books but if you have time maybe a link would be gratefully received.
Kindly solve complex connections and base plate
Hi Bharath, thanks for the suggest I will add baseplate design to the list.
Hi Brendan, nice video, though I think your explanation of beam mechanics at 6:28 is partially incorrect. Bending moment is proportional to curvature: M = EI/R (R is the radius of curvature). This would then be integrated to get rotation and integrated again to deflection. You have this the other way around which does not make sense to me. Let me know if you disagree, I may be wrong and if so I would like to understand why.
Hi Dominic I will need to check up on that but you maybe correct I will need to review thanks for pointing it out. I thought I had double checked will let you know.
Correct, the derivative gives the slope of the differentiated function. So the slope of the beam is the derivative of the deflection. The rotation is: arctan(slope).
I agree, I remember this because for a uniform loading deflection is span^4, while the moment is span^2. Means the moment was integrated twice to get the deflection.
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Hi Anthony, thankas for the support.
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cheers
hello sir ,l want to be a structural engineer in the future could you please give me some advice for study ? like which course should l concentrate on , so thank you sir
Depending on where you are, you should focus on maths and physics this will help you the most at university and starting your first job. Long term tho not forget your soft skills spoken, written and schematics drawings these will help you the most in the long run.
Rule number 1: depth is king 👑👑👑
Hi jack thanks for the support. Depth is exponential width is linear.
Great lecture sir, keep going love ❤️ your videos. Want to work under you, let me know if you are interested 😊.
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thanks
Great lecture sir, keep going love ❤️ your videos. Want to work under you, let me know if you are interested 😊.