How to Calculate Support Reactions of a Simply Supported Beam with a Point Load

A short tutorial with a numerical worked example to show how to determine the reactions at supports of simply supported beam with a point load.
#SimplySupportedBeam #SupportReactions #PointLoad
Design to Eurocodes:
EN 1990 (EC0) - Basis of structural design
Design to Eurocode 1 - EN 1991 (EC1) - Actions on structures
Design to Eurocode 2 - (EN 1992 EC2) - Design of concrete structures including concrete bridges
Design to Eurocode 3 - (EN 1993 EC3) - Design of steel structures including steel bridges
Design to Eurocode 4 - (EN 1994 EC4) - Design of composite steel & concrete structures including composite bridges
Design to Eurocode 7 - (EN 1997 EC7) - Geotechnical design
Terms of use in addition to "Standard KZbin Licence": www.eurocoded.com/mod/page/vie...

[@Eurocoded]

Like 👍🏻 share 👈🏻 and subscribe 🙌🏻

[@mahidsumandar2312]

Thank you sir ❤

[@Eurocoded]

Mahid Sumandar you’re welcome 😀

[@prabhuji6153]

@@Eurocoded there's a problem

[@Eurocoded]

Pinak Ganatra what’s the problem?

[@leeroymhembere5903]

A beam 60m long is supported horizontally by vertical reactions at 1 end A and point B 40m from A.There is uniformly distributed load of 5km/min over the whole beam point load of 120kN at the middle point of AB and another point load of 80kN at the other end of the overhanging portion.Determining the reaction RA and RB

[@tehhwizz]

i almost died from the pen noise, but great vid

[@Eurocoded]

Haha. Now I use a different pen 😃

[@chouhankapil9065]

Mee to

[@eminent8520]

Me too it was scarry

[@kingofnight0535]

Same here bro

[@waseemofficial5334]

Hahahahhaa

[@matthachireth4976]

Simplified presentation, always good for understanding.You are deserve to present more.All the best!

[@mrstaslim5341]

Thank you so much Sir. I was struggling in beam questions and your video has cleared all my doubts. Millions Likes for it !!!!!!!

[@Eurocoded]

You’re welcome.

[@troycarpenter3675]

I literally "felt" the pen and loved every bit

[@nightcoremaniac4534]

thank you. Just what i was looking for. The ratio for the reaction forces

[@Eurocoded]

You’re welcome

[@sudombd1230]

The video is very nice. It would be great if you upload more videos about calculating support reactions. Maybe more complicated ones.

[@Eurocoded]

Hi, Thank you so much for the great feedback. We will soon make more videos to show how to calculate support reactions. And we will include complicated loading scenarios.

[@emmanuelokoro4066]

I love your works, thank you

[@Eurocoded]

Emmanuel Okoro 👍🏻😀

[@Jitendra_Rawat]

Love from INDIA Dhanyawaad ( thank you )

[@Eurocoded]

You’re welcome 😀

[@cordiliaadifue900]

Wowwww this is amazing. Thanks so much. Exactly what I needed.

[@Eurocoded]

You’re welcome

[@CMRHM]

Thanks, I was suddenly can't figure out how to get the moment equations, you saved my life.

[@Eurocoded]

You are most welcome.

[@gescottmoves]

As someone struggling to understand structural design just starting out, this was great. Thank you so much

[@Eurocoded]

Glad I could help.

[@clarisadomingo7459]

Thank you so much! I've been struggling to understand on how to get the reactions on beams. Don't skip the ads folks :)

[@Eurocoded]

Much appreciated 😀

[@StenTarvo]

Very helpful for understanding moments. Thanks!

[@Eurocoded]

You’re welcome

[@eminent8520]

Thank you my brother this was very exciting

[@Eurocoded]

unEDUCATIONIST 😃

[@ccaaproduction105]

Thank you for your sharing information.

[@Eurocoded]

You’re welcome

[@civilmix]

great content it was really helpful

[@Ally-ve1xh]

Am i the only one who loved the pen sounds lol thanks for this tutorial!

[@Eurocoded]

It seems like Ally 😃

[@jutsu712]

No , they made me grind my teeth ... l don't like that sound

[@zephaniahblair3246]

Thank you. this helped a lot

[@Eurocoded]

Hi Isaac - you’re most welcome 😃

[@jsoundranayagiasokan5651]

A simply supported beam AB 6m long has supports at ends A and B.The beam carries point load of 5kN at point c at 4 m from A and a uniformly distributed load of 2kN/m over length AC. Calculate (a) support reaction RA and RB (b) shear force and bending moment values at key points on the beam (C ) Maximum shear force and bending moment values and their position (d ) sketch shear force and bending moment diagram

[@brunoeugenio2809]

Very well executed.

[@emirxyz3506]

thanks, helps me to re figure my previous subject.

[@Eurocoded]

BSM YTChannel Yes yes yes. Well done 👍🏻 and you’re welcome 😃

[@eriutaitiwi6179]

That was helpful. Thank you

[@Eurocoded]

You are welcome

[@dee7196]

excellent! you sound like you are from Sri Lanka!

[@elmerhablo]

Would all the reactionary forces be equal if they are Symmetrical? I can't find a sample problem online for such a case. The problem I'm working on has a distance of R1 > R2 = 6m ; R2 > R3 = 3m ; R3 > R4 = 6m The thing that's bothering me is the 3m distance, would it make R2 and R3 different with R1 and R4?

[@abudelmohamed6164]

SALAM bro from🇲🇦 Thanks 👍👍

[@Eurocoded]

You’re welcome 👍👍

[@elsharko87]

thank you very much

[@Eurocoded]

Hi Daniel - You are welcome.

[@tech.sis_]

lot's of love from india ❤️ I understand the concept 🥰 thank you so much 🙏🙏

[@Eurocoded]

You are welcome 😃

[@bestmatters2753]

@komalrani Plz I need help Would you help me ?

[@tech.sis_]

@@bestmatters2753 yes plz what the problem

[@mobeenrostazada9661]

@@tech.sis_ how did he get 9kn for the reactions

[@mohammedbaramim7639]

thank you man

[@vijaykamble7617]

Thank you very much sir.. it really helped me a lot..🙏🙏🙏🙏🙏

[@Eurocoded]

You are welcome

[@donaldnwaeze]

This video really helped me a lot in my work thank you sir

[@Eurocoded]

You’re welcome

[@butter4774]

Is this a reaction "R= squareroot of the summation of squares of reaction forces vertical and sum. Frces horizontal" ?

[@Eurocoded]

This video will answer your question: kzbin.info/www/bejne/b4LamqmQgMSJnNU Equation you have mentioned gives you a resultant force and it could be a reaction.

[@monoyarhossain950]

Thank You sir.

[@Eurocoded]

You’re welcome

[@sathananthankartheepankart8300]

It is better to tell whether it is a statically determinate structure or indeterminate structure then you can tell the bounday conditions for statically determinate structures. Your points are ok but for a pinned joint support you should mention the horizontal reaction and how it is going to zero.

[@rajamannarsaravana1697]

Super concept

[@nabilkhabbass6371]

The down ward force is equil to the reaction force upward Force at A = 3/5 x 15=9N Force at C = 2/5 x 15= 6N Isn't this an easier method to solve the problem?

[@radithyarafee5264]

it should've 2/5 for A and 3/5 for B

[@benokolie9747]

simple and straight to the point

[@Eurocoded]

Thank you 👍

[@md.alomgirhossain9133]

Useful video.

[@Eurocoded]

Thank you

[@user-fx2qe9uu5h]

very understandable

[@churchtm6539]

thanks i have a structural analysis test tomorrow

[@Eurocoded]

You’re welcome. Good luck with your test

[@harshdewangan1099]

Thank u sir, it helps alot

[@Eurocoded]

You are welcome

[@ChanmaluethLual-yh5kr]

Thanks 👍 ❤

[@user-ns6jf6jk9y]

A simply supported beam AB 6m length is loaded as shown below. Construct the shear force and bending moment diagrams and determine the value of the maximum bending moment

[@elljones991]

how would you find the missing distance if one of the distances wasn't given ?

[@king0vdarkness]

Hi, Is Anti clockwise for moments taken as positive according to Eurocode 3? Also is the point load taken as the design load? As normally you'd have to multiply the load by a partial factor (given by EC3) to find the design load.

[@tomhenderson1149]

My teacher has explained this for 3 hours and I haven’t understood and you’ve just tought it me in 4 mins

[@Eurocoded]

👍🏻👍🏻

[@saladghoul162]

Hello, What value would the concentrated load be to make the support reactions zero?

[@Eurocoded]

0😃

[@ColinLittley]

Good attempt and a good explanation although. noisy pen yes but the main issue I have is that you explain the CW and ACW (CCW) say one is negative but don’t indicate it or put it in the calculation and use it. Missed step is all I’m pointing out. Have a great day.

[@jackdanielmanzon8099]

Very good video❤️

[@Eurocoded]

Jack Daniel Manzon thank you :)

[@tulakchowdhury4906]

thanks !

[@Eurocoded]

You’re welcome

[@munirmohammadkolo3768]

Please any more videos of bending moment and share force with three support reaction?

[@frankjennings4022]

Just sum the moments about the reactions.

[@luffypirateking1068]

How did you get the 9 for RC I don’t understand ?

[@adbulwaheed3633]

Its nice but need complecated ones and as well of all types of reactions

[@Eurocoded]

More videos coming soon 😃

[@rohitnegi9430]

Very helpful for my assignment question☺️☺️☺️☺️

[@Eurocoded]

Hi Rohit. Great. Let me know if you have any questions. Good luck with your assignment 😀

[@rohitnegi9430]

@@Eurocoded yes.i hve a question.how can I ask it.i mean any email id or something else

[@Eurocoded]

@@rohitnegi9430 You can post here or check the about section of my channel for the email address.

[@JohnCharville]

15kN / (AB + BC) = 3kN 3kN * AB = 9kN 3kN * BC = 6kN Why make it so hard ?

[@Mrs_Heyman]

JC Legend; 11B thanks you

[@kurutufm440]

wonderful

[@Eurocoded]

Kurutu Fm 👍🏻

[@mickkimx4723]

Can you make a video show designing slab with the column and double reinforced beam for house plan

[@unknownorokin6064]

just a quick question, how'd you get the Ra and Rc KN measurements?

[@MrBooojangles]

I want to know this too. How do you come to 9kn from the other numbers available. I don't get it.

[@mobeenrostazada9661]

@@MrBooojangles same he doesn't show or explain how he come about 9kn

[@speedwell0560]

5 x Rc is equal to 45Kn Therefore to find value of 1 Rc = 45 divide by 5 1 x Rc = 9

[@lebohanglebo5719]

A bean is 12 m long and is supported at right end and 1m from the left end point load of 80kN is placed 4m from the left end a load of 20kN is place in the middle and a load of 40 kn at 1m from the right end 1.calculate the reactions 2.draw a shear force diagram indicating all your points 3.calculate maximum bending moment 4.plot a bending moment diagram indicating all points

[@nuwansilva9131]

💗

[@biroldas1507]

Questions is... A trolley wire weighs1.2kg per metre length. The ends of the Wire are attached to two poles 20 metre apart. If the horizontal tension is 1500 kg find the dip in the middle of the span?

[@samuelmuthama6530]

how do I determine the maximum shear force in the beam

[@julietmukuka967]

Is this the same way of finding the magnitude of reaction forces

[@alisej1773]

Sir can U explain what is the maximum load the crane can safely lift?

[@Eurocoded]

Ali Sej It depends on on several factors such as crane weight, distance from crane’s centre of gravity to tipping point, length of boom, ground conditions, etc. Do you know above parameters?

[@alihaji9576]

I just wanna get direct communication with you, I have found that you good in physics

[@Eurocoded]

Ali Haji You can use the email on ‘about’ page on my channel. Or message on Facebook.

[@alihaji9576]

@@Eurocoded A certain rod AB of length 10m is at equilibrium, the rod is supported at C and D ,if the support at support C is 100N and 500cm from end A and distance that separate C and D is 8m.Find the weight of the rod, find thrust at D?

[@Eurocoded]

Ali Haji is the rod simply supported? Is 100N the vertical reaction?

[@AKRaja-yb9yt]

Thanks sir

[@Eurocoded]

You’re welcome Amar.

[@ambikaambikab9774]

Super teacher

[@cristeljade2781]

A beam has a total length of 15m, force F1=15N F2=7N which ends of the beam, where should we place the fulcrum, in order to be in equilibrium?

[@rascoll0941]

How do i calculate the reactions of a beam including a self weight

[@hazy7964]

You sound like Arnold Schwarzenegger, cool vid

[@Eurocoded]

Thank you 😃

[@alihaji9576]

Thanks

[@Eurocoded]

You’re welcome 😃

[@crahmanyosof5265]

Why are using equalbrium equation of all x action all x reactions

[@jasminewatsons4509]

can i ask why Rc is producing counterclockwise moment?

[@Eurocoded]

Check this out: kzbin.info/www/bejne/bIStmnehjtCCgtU

[@user-tq5rl2vm8d]

❤❤❤Thank very much

[@kazeemadetunji2009]

Please how can one calculate support that is more than two

[@MohdAsif-mo1hb]

Hello sir How are you I have a question please help to solve my problem, Question- we have a hollow 8" iron pipe with 8 mm thickness, width of the pipe 6 meter We are applying a load of 600kg on the pipe, How will we know the suitable weight for our pipe?

[@liamtyler6855]

Why is this in my recommended still at least I learnt something

[@franklinemakotsi]

How to find moments couples of given weight of the beam

[@taraknathhalder9144]

What will be the moment of force at any point of the beam???

[@Eurocoded]

Tarak Nath Halder watch this video: kzbin.info/www/bejne/jqfKZGukod2ehbc

[@priyachoudhury6317]

Tq

[@Eurocoded]

You’re most welcome :)

[@venusclutario2317]

hi, what if the beam has its own weight? thank you .

[@Eurocoded]

Hi Adobong. If the cross-section of the beam remains unchanged along the beam, the self-weight of the beam is a UDL (uniformly distributed load). You can replace the self-weight of the beam (UDL) with an equivalent point load. Watch this video: kzbin.info/www/bejne/ppPcd4GAic6pqM0

[@venusclutario2317]

Eurocoded thank you :)

[@Eurocoded]

You’re welcome 😃

[@mabrurmuchammad_]

can i request with 3 point load?

[@nwinuupaul-sl5yn]

Please how can calculate for dl and ll

[@KOMALYADAV-yp6qp]

Same problem explain How to find maximum bending moment

[@Eurocoded]

Hi Komal - We will upload a video soon covering how to calculate maximum bending moment using the same example.

[@RajRaj-dl5xm]

W(L^2)/8

[@farazahmad6504]

hello sir i'm your channel's new subscriber .please make a video on how load transfer from slab to foundation

[@Eurocoded]

Ok I will try to make a video.

[@farazahmad6504]

@@Eurocoded Thanku Sir

[@mahidsumandar2312]

determine the reaction at the supports, then draw the moment diagram. The moment of inertia for each segement is shown in the figure. Assume A and C are rollers and B is a pin. Take E = 200 GPa

[@Eurocoded]

Mahid Sumandar is this a question you’re trying to resolve?

[@abenezerabtaye4866]

thanks

[@Eurocoded]

abenezer abtaye you’re welcome 😃

[@davidngaima3904]

In other to way a child in a laboratory a uniform plank of wood AB is 3.0cm long, A mass of 8.0kg is pevoted about a point 0.5m from A. The boys stands 0.3m from A and the mass is placed 0.5m from B in other to balance a plank horizontal. Calculate the mass of the Boy?

[@gamerxd2136]

Are there any other ways to solve the problem?

[@Umzeks-Omusha]

number 1

[@Eurocoded]

👍👍

[@vineetpareek9239]

thanks sir

[@Eurocoded]

You’re welcome.

[@user-fx2qe9uu5h]

👍👍👍

[@Eurocoded]

👍🏼👍🏼

[@derryscanlan136]

Really helped me out! But my teeth were 😬

[@artikakorwar8951]

isnt Ra negative 6 ?

[@Eurocoded]

Hi Artika. R_A is drawn as a vertical upwards reaction. Calculated R_A value is a positive value. That confirms R_A is a vertical upwards reaction and drawn direction of R_A is correct. This is a simply supported beam and the direction of R_A is expected to be vertical upwards. This video might help you understand the concept: kzbin.info/www/bejne/bIStmnehjtCCgtU

[@njabulogamede9096]

what about the direction because it is the one that confused

[@Eurocoded]

Hi Njabulo - Watch this video: kzbin.info/www/bejne/bIStmnehjtCCgtU

[@prashantumashankar5796]

How to find moment about B

[@MrDaredevil1998]

Can somone tell me how it works if Ra and Rc were not right at the ends?

[@Eurocoded]

Daryl Stephen do you mean you have two overhanging beam ends with the same loading arrangement?

[@MrDaredevil1998]

@@Eurocoded I mean like what if RA was 1 meter away from the end towards the centre and RB was 0.5 meters away from the other end towards the centre

[@shawndrumm3090]

Are you able to mathematically calculate the collapse of WTC7?

[@Eurocoded]

Shawn Drumm I’m not sure whether you can calculate exact figures without knowing the imposed load effects. But certainly the structural failure can be explained.

[@shawndrumm3090]

Eurocoded Maybe it’s nothing to worry about then. It’s probably nothing, right?

[@jonathanbonaparte5673]

wouldn't that be a negative 15

[@Eurocoded]

Hi Jonathan - External force acting downward (vertical) considered to be positive. This results in upward (vertical) reactions. If the external force was negative then it would result in a hogging moment. Please check out this video about typical sign convention: kzbin.info/www/bejne/o2qolJefnplqfM0