SA01: Structural Analysis: Statically Determinate Beams

This lecture is a part of our online course on introductory structural analysis. Sign up using the following URL: courses.structure.education/

[@nikolaivacko5397]

Thanks for making this video, internet needs more of this kind of educational material available for everyone!

[@wandersonalmeida6748]

yeah

[@hutheifa4880]

I really do not what to say. It is such wonderful effort. I have been looking for a long time about a channel explaining the structural analysis concept. It is clear easy explanation. Appreciated. Thank you very much.

[@nickandrio84]

I´m a Brazilian student, and here we call "Teoria das estruturas", but it is exactly the same content. Your videos are helping me so much, thank you, great job!!

[@zjyub]

This is a really really good basic intro to this stuff. Most of the other videos make the mistake of assuming we know the reactions at the pin, roller, and fixed support. Thank you for not assuming we knew this.

[@falooo7]

thats so good hopefully you guys explain more of the structural analysis problems , its very clear the explanation along with the drawing mode

[@marufmuhammad8102]

Dr. Structure its juss wonderful videos. I thoroughly got all revised in a short time and cleared all d concepts very easily by your videos.

[@laughinggood]

I have been following this channel from my undergraduate level thy are good

[@mentor_25]

Your videos are the best videos than the text books , I really thanking you, please make more videos .

[@lorddiaboboss]

Thanks, this is the start I've been looking for!

[@MrPascalchito]

Extremely helpful, short and to the point thank you

[@titanfriends7336]

Dr. Structure its juss wonderful videos. I thoroughly got all revised in a short time and cleared all d concepts very easily by your videos. Awesome videos.... Could you plz make and upload of all subjects of civil engg like Geotech (especiallly), RCC, Steel, water resource, QSCE, Environmnt, and all other. :) ? It will be very helpfull to us... waiting for new videos of new subjects All d best...:) :)

[@pigeon3314]

Thanks...your lectures are so neat and time saving ....

[@rajashekarv7437]

Really, I got clear idea from this Dr. structure thank you

[@gvamsirocks]

xcellent xplanation....very useful....

[@Batman_the_greatest_Warrior]

You are simply great🙏

[@HaBiBz1]

such a wounderfull lassons................. very helpful

[@nebyouyonas3496]

Clear and simple thankyou

[@aziaahmad]

That is so good >>>>Thanks from egypt

[@SefahDZChannel]

Here in algeria we take this in 2nd year of highschool, its relatively easy as i may say, but thank you for clearing som missunderstandes يعطيك صحا

[@thetrianglewaffle]

Beautiful explanation. Thank you

[@Lawi_Jake]

Precise and clear. Thanks

[@isaiaspetros5962]

Excellent Job. Thank you.

[@milapthakor1707]

you should upload more videos ))

[@supertv2783]

Thank you Dr. Structure it is so great videos...

[@thurakyawlwin2629]

Thanks a lot, Sir. Your videos are more helpful for me.

[@docendodisco-it]

it seems a very nice effort ! I will try to follow the course !

[@gentillice]

i love your video. good job!! you r better than my school teacher

[@BrainzSkillz-un4fx]

Nice..I think it cleared me enough

[@engineercom98]

Thanks a lot. It is an amazing effort.

[@cstechguruji.Hari5]

#cstechguruji seen your videos ..You are doing great job..for Civil Engineering community .. thanks

[@Craftnblade1]

very useful and easy explanation 👍👍

[@dexarcilla7085]

Thanks a lot, this is very helpful

[@ccaaproduction105]

Thank you for your sharing information.

[@rayanara1904]

Thanks for the explanation

[@leangvin7132]

Thanks for video 😁I think you can thech more like this

[@MDLegba]

U r the best

[@esmailsherif1191]

you are professional

[@vnsyamala8757]

Thank you so much🙇

[@Mrius86]

Thank you very much!

[@MrTazRaz]

You're a professional.

[@hosseinjafari6202]

Fantastic :)

[@yonasabate3624]

Thanks so much!

[@JawadSiyal349]

wonderfull

[@AbdulMukthar]

great tutorial for any beginner..

[@p.3914]

Thank you

[@raulferri3842]

Fantastic wonderful video course, all clear and well explained simply in a very complicated subject. Beautiful really beautiful I think that such a course is the TOP of the university engineering formulation I really think in the following videos of great quality. I believe that it will be possible for you to lay the foundations for a course such as the following, relating to the design of bridges as a true treatise, starting from the basis of the inherent topic, up to the modern treatment of modern bridges. It is a very topical topic and a high level of interest for many enthusiasts and technicians that I believe is very interesting also because a real online video treatise on this matter is not present on KZbin. Thank you and I hope to have the opportunity to follow a course as mentioned while for the moment I follow with great affection your beautiful course, I repeat of high value. Thank you.

[@DrStructure]

Thank you for your feedback and suggestion. We will consider your proposed course idea.

[@accessuploads7834]

Thanks

[@mysteriouscute4877]

Thank you❤️

[@ANKITY5725]

thanks Sir, send more videos related to som and fm

[@SirKombabomba]

super

[@vedprakashsingh7152]

please upload the video of analysis of indeterminate structure.

[@husnainhyder6713]

thank God My problems are solved

[@burakkarabulut3440]

Very nice videos! Could you let me know which program you use while making your drawings in these videos?

[@DrStructure]

In this and the other early videos, we manually traced the writings and diagrams using a stylus on an iPad, saved the tracings in SVG format, then used videoScribe (an online service) to convert the SVGs to video files.

[@chanchalatripathy3568]

I want to learn SA so good that I can the structure loads and analysis its safety

[@a-z4886]

kindly add a video on approximate method of analysis...

[@lalaa123ful]

Very helpful. A little confused on where the 2N/m came from? I am doing a project for a physics class and i am self teaching these concepts.

[@DrStructure]

+Pouneh Mozafari The distributed load is assumed to be 2 Newtons per meter, it is given. It is great that you are learning this on your own, though some of the concepts might pose a bit of challenge without additional help. You may want to consult an introductory structural analysis textbook if you get stuck. Feel free to send me your questions if you need help.

[@lalaa123ful]

+Dr. Structure Thank you for responding so quickly!! I could use all the help i can't get right now. I am kind of stuck and not sure if what i am trying to aim to calculate is even possible. I am comparing beam bridges versus truss bridges. I am calculating the forces of each joint of my truss bridge and similarly calculating forces acting on the beam bridge. I want to somehow compare the two in a broader sense and determine that the truss bridge will be able to hold more mass because of it's strong forces. I have built both brides with the same span and will test them tomorrow to see which will hold more mass before breaking. Let me know if you think this is absolutely crazy or if i am somewhat on the right path. Thank you!!

[@DrStructure]

+Pouneh Mozafari You are on the right track. Your experiment could shed some light on the subject. Though it is not a quantitative comparison. To compare the two systems quantitatively, you need to do a bit of analysis. For such a comparison, you need to know axial and bending strengths of the material being used. I assume you are using balsa wood. You should be able to find that information online. Alternatively, for the sake of this comparison, you can assume the material is structural steel. For example, design tensile strength of steel can be assumed to be around 18 kips per square inch. You need to analyze the truss in order to determine maximum axial/compressive member force(s). Place the applied load at mid-span and use the method of joints to determine the force in each member. A simple comparison of these forces would tell you which member carries the maximum tensile/compressive force. If you divide this force by the cross-section of the truss member, you get what is know as axial stress (force per unit area). This could be compressive stress (if the member is in compression) or tensile stress (if the member is in tension). This maximum stress divided by the (axial) strength of the material (balsa or steel) gives a measure of the design efficiency. This ratio should always be less than one. That is, strength of the material (the denominator) should exceed stress in the member (the numerator). The closer this ratio is to one, the more efficient the design. You can perform a similar analysis on the beam. Place the load at the middle of the beam and calculate bending moment in the beam at mid-span. This moment divided by a quantity called section modulus gives maximum bending stress in the beam. This number divided by bending strength of the material (which you can look up) gives a measure of the beam's efficiency. Now, you can compare the truss and beam bridge by comparing these efficiencies. This comparison is particular meaningful if the two systems are comparable in weight. Another way to compare the two systems is by comparing their maximum vertical deflection which takes place at the mid-span of the bridge.

[@cptandan6112]

Can u please explain the graphical method of analysis of Determinate Structure ?

[@venkatesh2285]

2 D State of Stress - 2 D Normal and Shear Stresses on any plane - Principal Stresses and Principal Planes - Mohr's circle Sir,Can you provide a videos on your website regarding in this topics??please sir....

[@farahahmed8225]

thank U

[@nhatquang21]

tks alot ! I honestly appreciate your effort in making such a fantastic educational video like this. As I visit the website you attached in the description of this video, it seems this is the only course. How can I get access to the others ? cause the quality of lessons is highly impressive. Look forward to hearing from you ! From Vietnam with all respect !!!

[@DrStructure]

As we finalize and add more courses to that portal, they become visible to students. You will be able to sign up for them then.

[@nhatquang21]

@@DrStructure I can't wait to see that !!! Thank you

[@saadkhan-ke7ok]

Dr sb plz made a video tutorial on the BMD diagram of an arch

[@parist5490]

Dr. Structure, assuming that the beam at 1:03 can take the P without bending and that A and B are columns, how can i determine the force that applies to the points A and B in order to see if the columns will fail? Thank you very much!

[@DrStructure]

If we add columns to A and B, then we get a frame structure. Frame members could be subjected to compressive or tensile force as well as bending moment. Such a member could fail for various reasons including excessive compressive, tensile or bending stresses, or it could fail due to buckling. I am assuming here you are referring to buckling failure only. A column could buckle if the compressive force applied to it exceeds the member's buckling load which is a function of its length, cross-section properties and end conditions. In this case, assuming P is applied at the midpoint of the beam, the axial load exerted on each column at the end of the beam would be P/2. To determine if the column fails under P/2, you need to know the length of the column, its cross-section and its end conditions. Knowing those you can determine its buckling load, the load that causes the member to buckle. If P/2 is greater that the buckling load then the member would buckle (fails), in theory that is. To learn how to calculate the buckling load for a column, you need to do a bit of study. You should be able to find ample explanations for column buckling online.

[@parist5490]

@@DrStructure thank you! Much appreciated

[@abdulrahmanradwan2046]

Thanx

[@ineverlickyoghurtlid3903]

thank you so much for your wonderful courses. Do you have plans for courses of plastic analysis?

[@DrStructure]

Thank you for the feedback. Plastic analysis is more of an advance topic. We will get to such topics after all the basis in statics, mechanics of solids, and introductory analysis are covered.

[@ineverlickyoghurtlid3903]

@@DrStructure Great! Looking forward to that!

[@tellthemman1955]

@@DrStructure Thank you so much. I passed my structural analysis course largely due to your videos.

[@DrStructure]

@@tellthemman1955 Thanks for sharing your experience.

[@marclau1000]

Hello, I am a teacher and would like to be able to create animated videos for training. Can you tell me what method you used to generate these videos? What programs?

[@DrStructure]

VideoScribe for writing animation, Camtasia Studio for putting it all together.

[@AslamKhan-ys4km]

Dr. Structure hello mem first i appreciate your effort towards teaching. i am also a teacher in india and i want to make such videos on mechenical engineering subjects. can you tell me how to draw these typicall structure using videoscribe or you use any other software.

[@DrStructure]

You cannot draw directly in VideoScribe. You need to draw using any drawing software that supports SVG file output. Then load the file in VideoScribe for creating the animation.

[@AslamKhan-ys4km]

Dr. Structure thankyou mem for information. one more thing i wanna ask you mem which software do you use for drawing and which digitizer do you use. any suggestions.....

[@DrStructure]

Autodesk Graphic on ipad, with a stylus.

[@meralovelyindiamaitripraka4057]

Nice

[@yoshiomaki1517]

Would you give us example of the pin, roller and fixed supports in the real world? If you could show us photos to illustrate it would be highly appreciated.

[@DrStructure]

Take a look at the following web page for images of real structures with different support types: theconstructor.org/structural-engg/types-of-supports-reactions-uses-structures/16974/

[@princerajravi8794]

In practically where we use roller support ? give me one example please.

[@DrStructure]

In bridges to allow for thermal expansion, for example.

[@princerajravi8794]

Dr. Structure thank u

[@aljunfine]

very nice tutorials.....

[@pritamkumar-yg8gv]

Do you upload video of another subject??(for civil engineering)

[@DrStructure]

Not at the present time.

[@SetAVISION]

Extremely helpful but i have a doubt that when the internal support carry BM whether it is pin or roller??

[@DrStructure]

Yes, if there is a pin or roller at an interior point (away from the ends), the moment in the beam is not zero at that point.

[@SetAVISION]

​@@DrStructureThen why internal hinge carry zero BM .Plz clear me that the difference between internal hinge and other internal supports?? I will be very grateful

[@DrStructure]

Imagine two separate beam segments (say, made of steel) each having a length of 5 meters. We can make a beam of length 10 meters by attaching the two segments together using a single bolt. The connection between the two (the bolt) constitute an internal hinge. Such the bolt permits one of the segments to rotate relative to the other one. Since the connection is not rigid, no bending moment develops in the beam at the site of the bolt. So, bending moment at an internal hinge is said to be zero. Alternatively, suppose our 10-meters long beam is made of a single beam segment. Since the beam is rigidity connected at its midpoint ( I.e., no connecting bolt is present), a bending moment does develop at that point. Even if the beam is resting on a roller at its midpoint (an interior support), since internally the beam remains rigid, bending moment does not vanish at the interior points of the beam. So, it is not the interior support that makes the moment zero, it is the lack of rigidly in the beam at the site of the bolt that makes bending moment to vanish.

[@SetAVISION]

​@@DrStructureThanks alot sir now its crystal clear! Such a quick response 🙏

[@ahmadhelmy_]

I'm sorry but there's something I don't understand, I know that supports are used...well, to support the beam, but I don't understand why they get subjected to forces and why does each support deflect forces in a specific direction (meaning, why does one support take on forces in the x, another in the y, and another takes all 3?) I ask all of this because I have problems imagining these supports so I can't understand their functions.

[@DrStructure]

Let’s say we want to place a roof on single-story house. The house, rectangular is shape, has four load-bearing walls. Say, the wall in front or house and the wall in the back of the house are parallel to each other. They are both masonry walls capable of carrying the roof load. The roof itself, say some sort of waterproof composite material, rests of a series of beams that in turn rest on the two walls. Now imagine the following scenario. We are going to place the right end of a roof beam on top of the front wall, and the left end of the beam on top of the back wall of the house. Further, we are going to bolt down the left end of the beam to the masonry wall. But the right end of the beam is not bolted to the front wall, it simply rests on it. When the steel beam expands during the hot summer months, it is going to elongate a bit, say by a few millimeters. In our case, since the right end of the beam is freely resting on the front wall, the beam expansion can be accommodated since the wall does not prevent the horizontal movement of the beam. In a way, the beam can roll on the wall (support) and become longer by a few millimeters. We refer to this kind of support as a roller support since it does not prevent the horizontal movement of the beam. The other end of the beam since it is bolted to the wall however cannot move. This is called a pin support. When the roof is placed on the house, the weight of the roof is going to be transferred to the beams which in turn transfer it to the walls. So, a typical beam which carries a part of the roof load, rests on a pin support at the left end and a roller support at the right end.

[@vedprakashsingh7152]

does roller support can't resist moment?

[@DrStructure]

Correct!

[@shahedsiddiki1165]

nice voice it is really pretty

[@nithishakanneti3063]

i have a doubt, if there is a angle then how to find force ?

[@DrStructure]

If a force is placed on the beam with a known angle, then we can replace the force with its x and y components. If the beam itself is inclined then we can define the x-axis along the length of the beam (i.e., rotate the coordinate system such that the x-axis becomes aligned with the center-line of the beam), then view the applied load as being an inclined force which can be replaced with its x and y components.

[@farahahmed8225]

we need static mechanics

[@NaveenSharma-yk8rp]

Would you mind to suggest me a book for structural analysis along with your lectures ?? ... Same level as that of your lectures.... Please suggest me to make my subject sound and clear... 🙏

[@DrStructure]

structural analysis by russell hibbeler structural analysis by aslam kassimali

[@NaveenSharma-yk8rp]

@@DrStructure thank you so much sir 🙂🙂

[@DrStructure]

You’re welcome.

[@suyashgoyal7445]

I always wonder how to make such videos . Please tell.

[@DrStructure]

You may want to look into videoscribe, it is a whiteboard animation tool.

[@feemoheat]

question: in the first example why is the moment taken at point A?

[@feemoheat]

i have realised because moment is 0 at point A

[@DrStructure]

The moment can be taken about any point. It could be A, it could be B, it could be any other point on the beam, or off the beam. It really does not matter which point you pick. But, for practical reasons we generally pick one of the support points. In this case we picked A.

[@bettyamankwa424]

Nice explanation Dr

[@bettyamankwa424]

Dr pls I don't understand hw de clockwise and anticlockwise taken

[@DrStructure]

I am not sure what it is that you have difficulty with, please elaborate. Also, you may want to watch the following lecture, it could clarify your concern. kzbin.info/www/bejne/Z4rToH-ggNmfabM

[@user-du2ps3fx2t]

What is the meaning of structural analysis

[@DrStructure]

A structure is a system (an artifact) that can carry loads. Structural analysis is the process of using the laws of physics to describe, or predict, the behavior of such a system.

[@analiacervantes1690]

you have no idea how lucky you are because this content doesn't exist in Spanish u.u

[@ccaaproduction105]

Thanks