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Math and Engineering with Dr. A
United States
Приєднався 31 бер 2021
My name is Dr. Andrew Assadollahi and I am a Civil Engineering professor at Christian Brothers University (CBU) in Memphis, TN. I am also a licensed Professional Engineer in the State of TN. While some of this content may be helpful to high school students, "Math and Engineering with Dr. A" is a channel designed to help college students with different topics in Engineering and Mathematics.
To maximize your knowledge from these example videos, it is best to WRITE EVERYTHING DOWN. Math (and Engineering) is not a spectator sport! You must participate by writing all of the steps down in a logical manner.
Please feel free to email me any time at aassadol@cbu.edu and check out my website at www.andrewassadollahi.com.
*All videos that show my handwriting were recorded using a 7th gen ipad, Apple Pencil, and the Penultimate app (by Evernote).
To maximize your knowledge from these example videos, it is best to WRITE EVERYTHING DOWN. Math (and Engineering) is not a spectator sport! You must participate by writing all of the steps down in a logical manner.
Please feel free to email me any time at aassadol@cbu.edu and check out my website at www.andrewassadollahi.com.
*All videos that show my handwriting were recorded using a 7th gen ipad, Apple Pencil, and the Penultimate app (by Evernote).
Soil Mechanics Phase Diagram Example 3
#civilengineering #geotechnicalengineering #soilmechanics #phase #phaserelations #porosity #voidratio #unitweight #density #saturation
I made this video a few years back for my undergraduate Soil Mechanics course. I solve Example 3.4 from the Fundamentals of Geotechnical Engineering textbook (5th ed) by Das and Sivakugan using a phase diagram. I solve this differently that what is shown in the textbook.
Reference: Fundamentals of Geotechnical Engineering textbook (5th ed) by Das and Sivakugan
I made this video a few years back for my undergraduate Soil Mechanics course. I solve Example 3.4 from the Fundamentals of Geotechnical Engineering textbook (5th ed) by Das and Sivakugan using a phase diagram. I solve this differently that what is shown in the textbook.
Reference: Fundamentals of Geotechnical Engineering textbook (5th ed) by Das and Sivakugan
Переглядів: 10
Відео
Soil Mechanics Phase Diagram Example 2
Переглядів 11День тому
#civilengineering #geotechnicalengineering #soilmechanics #phase #phaserelations #porosity #voidratio #unitweight #density #saturation I made this video a few years back for my undergraduate Soil Mechanics course. I solve Example 3.2 from the Fundamentals of Geotechnical Engineering textbook (5th ed) by Das and Sivakugan using a phase diagram. I solve this differently that what is shown in the ...
Soil Mechanics Phase Diagram Example 1
Переглядів 6День тому
#civilengineering #geotechnicalengineering #soilmechanics #phase #phaserelations #porosity #voidratio #unitweight #density #saturation I made this video a few years back for my undergraduate Soil Mechanics course. I solve Example 3.1 from the Fundamentals of Geotechnical Engineering textbook (5th ed) by Das and Sivakugan using a phase diagram. I solve this differently that what is shown in the ...
Effective Stress in Soil with Seepage Example
Переглядів 14День тому
#civilengineering #geotechnicalengineering #soilmechanics #effectivestress #flow #hydraulic #hydraulicgradient I made this video a few years back for my undergraduate Soil Mechanics course. I provide an example of compute effective stresses in a soil sample subject to seepage. As part of the example, I draw pressure diagrams. I reference the Fundamentals of Geotechnical Engineering textbook (5t...
Cut in Soil with Artesian Pressure Example 2
Переглядів 19День тому
#civilengineering #geotechnicalengineering #soilmechanics #effectivestress #porepressure #heave I made this video a few years back for my undergraduate Soil Mechanics course. I provide an example of a cut depth in a clay layer under artesian pressure. I reference the Fundamentals of Geotechnical Engineering textbook (5th ed) by Das and Sivakugan.
Consolidated-Undrained (CU) Triaxial Test Example
Переглядів 70День тому
#civilengineering #geotechnicalengineering #soilmechanics #triaxial #shearstrength #cutest #cu TYPO: At time stamp 9:00, the average normal stress (sigma average) should be computed using 66 psi, NOT 70 psi. Similarly at time stamp 9:20, the radius should be computed 66 psi, NOT 70 psi. The computed values (50.5 psi and 15.5 psi) ARE correct though. I just accidentally wrote 70 psi instead of 6...
Unconsolidated-Undrained (UU) Test Background
Переглядів 17День тому
#civilengineering #geotechnicalengineering #soilmechanics #triaxial #shearstrength #uutest #uu I made this video a few years back for my undergraduate Soil Mechanics course. I provide some background information on the Unconsolidated-Undrained (UU) triaxial test. I reference the Fundamentals of Geotechnical Engineering textbook (5th ed) by Das and Sivakugan.
Soil Hydraulic Conductivity Background
Переглядів 31Місяць тому
In this video, we explore some background information on hydraulic conductivity of soils. Constant Head Test Background: ua-cam.com/video/e4SOgbpEpro/v-deo.html Constant Head Test Example: ua-cam.com/video/kUhf yDmRY/v-deo.html Falling Head Test Example: ua-cam.com/video/Gi6Khr6ZE9o/v-deo.html #civilengineering #geotechnicalengineering #soil #soilmechanics #permeability #flow #hydraulic
Flow Through Soils: Darcy's Law
Переглядів 14Місяць тому
In this video, we explore some background information of flow through soils using Darcy's Law. Constant Head Test Background: ua-cam.com/video/e4SOgbpEpro/v-deo.html Constant Head Test Example: ua-cam.com/video/kUhf yDmRY/v-deo.html Falling Head Test Example: ua-cam.com/video/Gi6Khr6ZE9o/v-deo.html #civilengineering #geotechnicalengineering #soil #soilmechanics #permeability #darcy #flow #hydra...
Darcy's Law for Flow Through Soils Example
Переглядів 49Місяць тому
In this video, we explore an example of how to use Darcy's Law and hydraulic conductivity in flow through soils. Constant Head Test Background: ua-cam.com/video/e4SOgbpEpro/v-deo.html Constant Head Test Example: ua-cam.com/video/kUhf yDmRY/v-deo.html Falling Head Test Example: ua-cam.com/video/Gi6Khr6ZE9o/v-deo.html #civilengineering #geotechnicalengineering #soil #soilmechanics #permeability #...
Deflection Formulas Example 5
Переглядів 554 місяці тому
#civilengineering #mechanicalengineering #statics #mechanicsofmaterials #mechanicsofsolids #structuralengineering #structuralanalysis #doubleintegration #deflection In this video we explore an example of using pre-derived deflection formulas.
Deflection Formulas Example 4
Переглядів 424 місяці тому
#civilengineering #mechanicalengineering #statics #mechanicsofmaterials #mechanicsofsolids #structuralengineering #structuralanalysis #doubleintegration #deflection In this video we explore an example of using pre-derived deflection formulas.
Deflection Formulas Example 2
Переглядів 294 місяці тому
#civilengineering #mechanicalengineering #statics #mechanicsofmaterials #mechanicsofsolids #structuralengineering #structuralanalysis #doubleintegration #deflection In this video we explore an example of using pre-derived deflection formulas.
Deflection Formulas Example 3
Переглядів 274 місяці тому
#civilengineering #mechanicalengineering #statics #mechanicsofmaterials #mechanicsofsolids #structuralengineering #structuralanalysis #doubleintegration #deflection In this video we explore an example of using pre-derived deflection formulas.
Deflection Formulas Example 1
Переглядів 444 місяці тому
#civilengineering #mechanicalengineering #statics #mechanicsofmaterials #mechanicsofsolids #structuralengineering #structuralanalysis #doubleintegration #deflection In this video we explore an example of using pre-derived deflection formulas.
Boundary and Continuity Conditions for the Double Integration Method
Переглядів 3574 місяці тому
Boundary and Continuity Conditions for the Double Integration Method
Transverse Shear Stress Example 1 (derivation for a rectangular section)
Переглядів 794 місяці тому
Transverse Shear Stress Example 1 (derivation for a rectangular section)
Graphical Method for Shear and Moment Diagrams
Переглядів 334 місяці тому
Graphical Method for Shear and Moment Diagrams
Shear Force and Bending Moment Diagrams Background
Переглядів 264 місяці тому
Shear Force and Bending Moment Diagrams Background
Thnaks alot for this video. To be clear, did you draw the tangent line from the sharp end?
@@rukhayatorekoya2266 To get the compression index (Cc), that is correct. Project a tangent line from the approximately linear portion of the compression (loading) curve.
@@mathandengineeringwithdr.a9515 thank you
Great video. Does a northeastern US garbage slab need to account for potential frost heave force. Is a footing for 1 story wood garage ever required or do most builders just poor a reinforced concept slab.
Good😊
Clear, detailed, well said and straight to the point. We need more teachers to teach like you man!
@@IssaAbdulkadir Thank you for your kind words!
great vid, thanks. Very helpful for my upcoming Strengths of Materials test
thank you, this was very helpful!
What would be foundation load if this slab be supported on columns? I have a case of a large steel platform rated for a live load considering equipment and personnel of 40psf. The designed platform weighs 25 psf. This live load would be acting need based on the area to be maintained. Would the live load be applied to entire platform area for determining foundation load?
Compute the tributary area for each of the columns. Multiply the surface load by the tributary area for a column. This will give you the force that is transferred to a column. Then, this force is transferred to the foundation.
@@mathandengineeringwithdr.a9515 Thanks for the response. Fully agreed in case of buildings etc where live load as occupants and furniture etc would exist at all times in some measure at all levels. Here the live load of maintenance personnel and equipment may exist in some small measure during shutdowns only. The platform is to be designed as per code, rated for this live load of 40psf anywhere where the maintenance work is being done. The platform is never likely to be swamped or infested with men and machinery all over the area, hence considering the total total area multiplied by 40 psf would be overdesign. Kindly let me have your opinion.
Can this procedure be used to calculate wind pressures on a wall for a building with monoslope roof? I.e. a box building < 30 ft height, 4.5 degree sloped roof, roof height increasing from back to front.
Thanks for your question. Chapter 27 would be more appropriate for a monoslope roof for wind loads on the MWFRS. See the user note in 28.1.
@@mathandengineeringwithdr.a9515 Thank you for your reply!
Thank you for the video Dr! what happened to the Double Integration Method Example 1 video?
never mind, i found it, i couldnt see it because it was a year old video!
@@user-sk6jq6eh8l Glad you found it! If you navigate from the Mechanics of Materials Playlist, all the videos should be in proper order.
What happen with the Load factors? Because the statement says Compute the minimum Design loads? 1.2D + 1.6LL.. The statement don't mention ASD design.
Good day. Thanks for your question. This simply example is just meant to explore how to actually compute a service dead load and then a service live load, that would be used in design. Once we have the dead load and then the live load, we can then use one of the two common structural design philosophies that you mentioned (LRFD or ASD) to get the overall design load.
when you computed base share, Why you didn't taking into consideration the effect of internal pressure?
Thanks for your question. The internal pressure is acting in all directions, so for the purposes of base shear, it cancels itself out. If we were interested in designing a particular element (e.g. a beam, joist, or components/cladding), we would include both the external and internal pressures.
Great video thank you!
why your 90ft pressure did not deduct the 2a area of 10ft? is the 17.4psf on top of the 11.4psf for corner area?
Hello, I am not sure if I understand your question. Please note that the figure that shows both the 11.4 psf and the 17.4 psf is a plan view (not an elevation view).
Thanks for the clarification!
Why kd was removed
Good day. This is a good question. This is one of the updates of ASCE 7-22. Equation 26.10-1 of ASCE 7-22 does not include "kd" as we have seen in previous versions of ASCE 7. The directionality factor (kd) is now included in the later chapters (27 - 30) when computing the various pressures "p" and forces "F".
Thank you for your clear explanation..
Many thanks for your excellent videos ❤🙏
I really appreciate your content-it’s been incredibly helpful for my preparation for the PE Civil Structural Exam. Thank you!
@@robertmoorhead7871 Thanks for the kind words! Glad this could help. Good luck on the exam, I am sure you will nail it!
hey, just wanted let you know that your videos really helped with my soil mechanics final this july. got an 83 ! i couldnt have done it without you.
@@philodeus7639 Thank you for the kind words. Glad this helped! Please share with others who may need some help.
@@mathandengineeringwithdr.a9515 you're very welcome!! I hope to watch more of your vids when I take foundation engineering aswell. Will be sure to recommend your channel !
If we use operations to get lower triangular matrix we wil have multipliers closer to zero
Thank you sir..
May I ask what textbook are you referring to?
Why is it that you did not use the Wind directionality factor, Kd, in your calculation to find the velocity pressure, qz?
Good day. This is a good question. This is one of the updates of ASCE 7-22. Equation 26.10-1 of ASCE 7-22 does not include "kd" as we have seen in previous versions of ASCE 7. The directionality factor (kd) is now included in the later chapters (27 - 30) when computing the various pressures "p" and forces "F".
@@mathandengineeringwithdr.a9515 I understand. Thank you for your response. Very helpful video!
Thank you, Dr.
Thank you so much Dr.
Very insightful videos
thank you dr
Who uses imperial lol. Entire world has moved to SI
@@prafooldev786 USA!
thank for this video , it is very helpfull . hope you make more videos like this
🌺🌹
Thank you, very helpful.
Thank you, your explanation is very clear.
Very nice video keep moving❤
Great example. Is there a textbook reference for this example that you could refer me to?
Thanks for your comment. "Principles of Foundation Engineering" by Das has a similar example as this video.
Great video man, keep up the good work
Great video, very clear and consise!
Thank you! This session has been very informative.
2 questions: 1) For base shear, shouldn’t you take trib area to the diaphragm, so only half the wall height? 2) for base shear, why aren’t you taking any pressure from the roof? Per section 28.3.6, you need to take 8psf multiplied by the roof area of the building projected onto a vertical plane normal to the wind.
Hi Jessica, Thank you for your great questions! I split up my response to your question 2 into two parts. 1) For the base shear, think of this as an over-simplified vertical cantilever beam with a uniform load and the base is fixed to the ground. The base shear would be like the horizontal force reaction. All of that wind load on the walls has to go somewhere, and that somewhere is the base. Now, if we were going to investigate or design the roof diaphragm, we would consider pressures on the upper half of the wall height. But in this example, since we were explicitly asked about the base shear, we have to think of the base as an external support that all of the applied loads are transferred to. 2a) The minimum loads specified in Section 28.3.6 (8 psf on the roof and 16 psf on walls) are used when designing structural elements of the main wind for resisting system (MWFRS) and should be applied separately from the actual wind pressures. So, let’s say we are designing a roof beam that is part of the MWFRS. We apply the actual pressures to the building (like we did in the example) and determine the wind effects (W) on that beam (shear, moment, etc). We input these wind effects (W) into the load combinations and design the beam. We then, separately, apply the 16 psf and 8 psf to the building and determine the wind effects again (W) on that beam. We input the effects (W) due to these minimum pressures into the load combinations and check that the beam is still adequate. For the sake of this example, though, I was only intending to demonstrate how to compute base shear due to wind loading using the Envelope Procedure. 2b) Since the roof pressures actually relieve the total horizontal shear due to the windward roof pressure being larger than the leeward wind pressure and both sides of the ridge are experiencing suction, we can neglect the roof wind pressures by Section 28.3.3. i.e. The total horizontal shear is greater than that determined by neglecting the wind forces on the roof. [I probably should have stated that in the video somewhere.] Note, though, that if the windward side of the roof was in compression, we could not neglect the roof pressures since their horizontal components (projected on a vertical plane) would both add to the wall pressures (pointing to the right).
I have made a spreadsheet to calculate Kh,Kz values and came up with a bit different number then Table 26.10-1. Should I not round the calculation and just truncate the number at two places? In this example when h=19.5 ft, Kh = 1.08 and when h=20 ft, Kh = 1.09. I know it is not much but it does change the numbers a little. Exp D h no round rounded formula 15 1.03504 1.04 = (2.41)(15/1935)^(2/11.5) 20 1.08814 1.09 = (2.41)(20/1935)^(2/11.5) 25 1.1312 1.13 = (2.41)(25/1935)^(2/11.5) 30 1.16765 1.17 = (2.41)(30/1935)^(2/11.5) 40 1.22755 1.23 = (2.41)(40/1935)^(2/11.5) 50 1.27613 1.28 = (2.41)(50/1935)^(2/11.5) 60 1.31724 1.32 = (2.41)(60/1935)^(2/11.5) 70 1.35303 1.35 = (2.41)(70/1935)^(2/11.5) 80 1.38482 1.38 = (2.41)(80/1935)^(2/11.5) 90 1.41348 1.41 = (2.41)(90/1935)^(2/11.5) 100 1.43962 1.44 = (2.41)(100/1935)^(2/11.5) 120 1.48599 1.49 = (2.41)(120/1935)^(2/11.5) 140 1.52637 1.53 = (2.41)(140/1935)^(2/11.5) 160 1.56223 1.56 = (2.41)(160/1935)^(2/11.5) 180 1.59456 1.59 = (2.41)(180/1935)^(2/11.5) 200 1.62405 1.62 = (2.41)(200/1935)^(2/11.5) 250 1.68831 1.69 = (2.41)(250/1935)^(2/11.5)
Nice! The equations for Kz beneath Table 26.10-1 would be the most correct to use since these capture the nonlinear nature of this relationship. Thus, using 1.09 (actually 1.088 when rounded to 4 sig figs for h = 20 ft) is the most correct. The advantage of the Table 26.10-1, though, is that you can directly read the values that are presented, and you are also permitted to use linear interpolation with the tabular values....which is helpful for quick calcs and when folks prepare for the PE. Since you created a nice spreadsheet, though, you can continue to use that. If you really want to have some fun with that spreadsheet, put some IF statements for the different z-domains and rig it up to handle all the exposure categories. Awesome stuff!
mean roof height = eave height when the slope is < 10 deg I believe right?
Thanks for your comment/question. Based on the definition of the "mean roof height" in ASCE 7, for roof angles less than 10 deg, the mean roof height IS PERMITTED to be taken as the roof eave height. So, this is an option but not a requirement. I took it as the actual mean height (20 ft) in part so I can just read the Kh value directly from Table 26.10-1 as 1.08. I will reply to your other comment regarding that value on your other post.
Might be better to plot change of strain vs log(signma') or even log strain vs log(sigma'). The first gives Cc/(1+eo) directly. The second gives two "straight lines' to give preconsolidation pressure (better estimation)
Thanks for your comment. This video is aimed at folks at the first-semester soil mechanics level, which cover this particular topic. I have a few other videos that cover other relationships, including what you mention. See links below: ua-cam.com/video/1LGJJrJA52o/v-deo.html ua-cam.com/video/K4Itl4T540g/v-deo.html
@@mathandengineeringwithdr.a9515 - perhaps an interesting story - probably for the pre-consolidation pressure determination - but my mentor studied under Terzaghi and Casagrande at Harvard (my mentor is 92 and still consulting) - anyway Casagrande came up to the Company's office in Toronto as he was consulting on one of our projects - anyway a young chap had done all the preconsolidation constructions on a number of samples and proudly showed them to Casagrande who looked at them and said - "well, this should be about here; and that one there" - but, the lad replied, I did them as per your procedure . . Casagrande looked at him and said - well, I had to develop something so the students would get in the right ball-park! Cheers
Dear Dr. A , Thank you very much for your sharing! The VDO above is very useful for Junior Engineer like me.
Thank you for this video. It is very helpful!!
thanks for your video, it was really helpful
Thank you Dr. A for the great video. I'm new to ASCE 7 and it was very helpful. Online hazard tool doesn't show values for places outside the USA. How can we use this method for other countries?
For people who don't know why their graph goes up instead of down, consolidation sinks your specimen, and your dial gauge reads the delta from its original position, and not the actual height relative to the table or the floor or whatever.
Yes. Thanks! Also, depending on how the dial gauge was zeroed, the readings will either decrease or increase in value. Regardless, though, the specimen height decreases during consolidation.
Hello.. Thanks but.. No necking in shear
It depends on the specific material and the loading mechanism.
Good explanation
You look very geotechnical engineer 😂😄.. Btw actually I didn't like soil mechanics like other structural subjects because it has a lot of work and formulas 😔
🎉🎉🎉🎉