--- title: What second moment of area is required depending on the weight of the truck? description: Since the requirements for underrun protection, UNECE R58 rev3, are based on a specific maximum deflection, truck frames must correspond to the rigidity levels that components are designed and tested for at VBG. image: https://blog.vbg.eu/hubfs/VBG/VBG_Images/VBG_blogposts/Yttroghetsmoment_use.jpg --- [![VBG logo](https://blog.vbg.eu/hubfs/Assets/img/vbg-logo.svg)](http://www.vbg.eu/en/) - Solutions ## Solutions [![](http://www.vbg.eu/imagevault/publishedmedia/u7x3adb8a5z0vhk13on2/L-sningar-helhet.svg) Solutions with an integrated approach](http://www.vbg.eu/en/Solutions/) [![](http://www.vbg.eu/imagevault/publishedmedia/2139yxibtv33ljh14w2u/P-byggare-1.svg) Sustainable transport](http://www.vbg.eu/en/Solutions/sustainable-transport/) [![](http://www.vbg.eu/imagevault/publishedmedia/apvj8axm8whp5kfovoi7/P-byggare.svg) For bodybuilders](http://www.vbg.eu/en/Solutions/for-bodybuilders/) [![](http://www.vbg.eu/imagevault/publishedmedia/5u4dpqvokj0eeu5m6357/F-rare.svg) For drivers](http://www.vbg.eu/en/Solutions/for-drivers/) [![](http://www.vbg.eu/imagevault/publishedmedia/fvh0h915kt30gka9b93l/Kundber-ttelser.svg) Customer stories](http://www.vbg.eu/en/Solutions/success-stories/) - Products ## Products [![](http://www.vbg.eu/globalassets/menybilder/vbg-795vr-3-pa_l-l.png?width=400&format=webp&quality=85&hmac=a0ce582ad2faa38431d9fbb5cf3695d20d9d09ccd8f60e4e4b4a8a8f7bbb83dd&v=1632122430) Couplings](http://www.vbg.eu/en/products/couplings/) [![](http://www.vbg.eu/globalassets/menybilder/menu-driver-assist.jpg?width=400&format=webp&quality=85&hmac=7022981b6fd020dd858e676d60bcf4659982dcce51bcba54721cd579f2aea038&v=1652191373) VBG Driver Assist](http://www.vbg.eu/en/products/vbg-driver-assist/) [![](http://www.vbg.eu/globalassets/menybilder/dragbalkmeny2.jpg?width=400&format=webp&quality=85&hmac=6d2309b5068c4b48af0d00f2b092c4bc095f427241f0e8baeb3630a1f25ca526&v=1526977473) Drawbeam system](http://www.vbg.eu/en/products/drawbeam-system/) [![](http://www.vbg.eu/globalassets/menybilder/u-skydd_produktvaljare.png?width=400&format=webp&quality=85&hmac=485a2e3acf5d96935f554423addfedd12b63a67d4075fb734df07a1e1ab9af5b&v=1662447913) Underrun protection](http://www.vbg.eu/en/products/underrun-protection/) [![](http://www.vbg.eu/globalassets/menybilder/dragstangmeny2.jpg?width=400&format=webp&quality=85&hmac=223385284bb8115d3b7bc62217b21467da6647d53ebe60765f64279ea2b91d50&v=1527153014) Drawbars](http://www.vbg.eu/en/products/drawbars/) [![](http://www.vbg.eu/globalassets/dragogla/dragoglamenu.jpg?width=400&format=webp&quality=85&hmac=1d7d41bf43e644a779e6470fe3ff0c35486fa56b2870378de7148dc8e06f9e5a&v=1525696242) Drawbar eyes](http://www.vbg.eu/en/products/drawbar-eyes/) [![](http://www.vbg.eu/globalassets/menybilder/tillbehormeny2.jpg?width=400&format=webp&quality=85&hmac=5660dac10f64fa5ef7a7ff3974161791a7d65b3b8ca86e9c161943e9ed4a89b9&v=1526997631) Other assortment](http://www.vbg.eu/en/products/other-assortment/) [![](http://www.vbg.eu/imgs/imagevault/publishedmedia/ft5bo6n69m9whjj5qm6y/vbg-menu-system.jpg?width=400&format=webp&quality=85&hmac=677796ce0d04b3cb3bc90c9de7b6183a62373bdec05cce508bacbd30c0459d8f) See the whole system](http://www.vbg.eu/en/product-overview/) [![](http://www.vbg.eu/globalassets/menybilder/spare-parts-menu-2.jpg?width=400&format=webp&quality=85&hmac=262457083c8fad284f5c16fa023e153bee90029557d8ece62b5841e2b97b4ef4&v=1646642366) Spare parts](http://www.vbg.eu/en/products/spare-parts/) ![](http://www.vbg.eu/globalassets/menybilder/spare-parts-menu-2.jpg?width=400&format=webp&quality=85&hmac=262457083c8fad284f5c16fa023e153bee90029557d8ece62b5841e2b97b4ef4&v=1646642366) Spare parts [Spare parts](http://www.vbg.eu/en/products/spare-parts/) - Support ## Support [![](http://www.vbg.eu/imagevault/publishedmedia/2yv841kxf1zw7gqhbsbn/Service.svg) Support](http://www.vbg.eu/en/support/) [![](http://www.vbg.eu/imagevault/publishedmedia/dsyjjfa4bgxm4397imm9/Returer.svg) Returns and Complaints](http://www.vbg.eu/en/support/returns-and-complaints/) [![](http://www.vbg.eu/imagevault/publishedmedia/dy5z3mo5pwljlke283ks/Riktlinjer.svg) Maintenance guidelines](http://www.vbg.eu/en/support/maintenance-guidelines/) [![](http://www.vbg.eu/imagevault/publishedmedia/9mcef176c2807rmrrfnk/Kvalite.svg) Quality and Environment](http://www.vbg.eu/en/support/quality-and-environment/) [![](http://www.vbg.eu/imagevault/publishedmedia/fhvf37ms8x5kw19s2b6j/Vanliga-fragor.svg) FAQ](http://www.vbg.eu/en/faq/) - [Calculator](http://www.vbg.eu/en/calculator/) ## Calculator - [Blog](https://blog.vbg.eu/en) ## Blog [Contact us](http://www.vbg.eu/en/contact-us/) - [Partner Login](http://www.vbg.eu/en/extranat/) - Select your language Published on 13 Oct 2022 by [Miso Kalliokorpi](https://blog.vbg.eu/en/author/miso-kalliokorpi) < 5 min # What second moment of area is required depending on the weight of the truck? [Back](https://blog.vbg.eu/en) Share the article - - *Second moment of area is an important factor to take into account in vehicle construction as part of ensuring compliance with the requirements for underrun protection. For example, if your vehicle weighs between 12 and 21 tonnes, in the ‘mid-range segment’, you can adapt the strength of the vehicle frame against the weight of the vehicle according to our table to be sure that the vehicle can handle UNECE R58 rev3.* ## What is second moment of area? and is denoted with I, and units expressed as cm4, mm4 or m4. The higher the value of I, the more rigid the structure. Since the requirements for underrun protection are based on a specific maximum deflection, truck frames must correspond to the rigidity levels that components are designed and tested for at VBG. Simply put, *small frames are weaker than large frames*, but because the boundary can be difficult to determine, you need to be able to understand and calculate the value for your own structures. Geometry data can usually be downloaded from automakers’ bodybuilder instructions. ## How is it calculated? The calculation bases for beam bending are shown below, where I is an important element in the formula for deflection. ![Yttroghetsmoment_use](https://blog.vbg.eu/hs-fs/hubfs/VBG/VBG_Images/VBG_blogposts/Yttroghetsmoment_use.jpg?width=1200&name=Yttroghetsmoment_use.jpg) ## What is the requirement? I = 5,700 cm4 is a minimum requirement and means that the frame on the truck must equal or exceed this value in order for a potential deflection to remain within certified levels. Owing to the new UNECE R58 Revision 3 regulations, we need to develop products with greater resistance to bending/deformation than before. If you are interested in knowing more about what the new regulations mean, you can read our summary of regulations UNECE R58 revision 3. [![Download summary of new R58 regulation](https://no-cache.hubspot.com/cta/default/2640104/744ab3a6-93e7-4959-b90c-f87efc9179a0.png)](https://cta-redirect.hubspot.com/cta/redirect/2640104/744ab3a6-93e7-4959-b90c-f87efc9179a0) ## When is the vehicle frame strong enough to attach the underrun protection? All VBG underrun protection is certified according to the new directive ECE R 58.03. The products are distinguished by the suffix 100 or 180 in the product name, where 180 corresponds to vehicle weights of 21 tons, or more, and 100 corresponds to vehicle weights of up to 12 tons. ![VBGUHAP180_P_1](https://blog.vbg.eu/hs-fs/hubfs/VBG/VBG_Images/VBG_Image_Product/R58/VBGUHAP180_P_1.png?width=3000&name=VBGUHAP180_P_1.png)   In order for the certificate to be valid during an assembly, requirements are imposed on the strength of the vehicle frame. As mentioned, this is referred to as second moment of area and is measured in cm4. - For heavy vehicles with vehicle weights over 21 tonnes, an underrun protection with the suffix 180 and a vehicle frame with min I = 5700 cm4are required - For vehicles lighter than 21 tonnes but weighing more than 12 tonnes, an underrun protection with a suffix of 180 is required. However, there is a ‘staircase’ for how strong the vehicle frame needs to be for each vehicle weight. This works since the requirement for test power decreases with the weight of the vehicle. The respective requirements for the vehicle frame can be read off from the table below. ![Yttröghetsmoment_tabell](https://blog.vbg.eu/hs-fs/hubfs/VBG/VBG_Images/VBG_blogposts/VBG_2022_BLOGG/VBG_2022_bloggw41/Yttr%C3%B6ghetsmoment_tabell.png?width=695&name=Yttr%C3%B6ghetsmoment_tabell.png) *Extract from certificate: SBSA* - For vehicles up to 12 tonnes, an underrun protection with the suffix 100 and a vehicle frame with at least 3,100 cm4 are required. It is the sum of the right and left sides that is counted. ![Yttröghetsmoment_tabell_instuktioner](https://blog.vbg.eu/hs-fs/hubfs/VBG/VBG_Images/VBG_blogposts/VBG_2022_BLOGG/VBG_2022_bloggw41/Yttr%C3%B6ghetsmoment_tabell_instuktioner.png?width=637&name=Yttr%C3%B6ghetsmoment_tabell_instuktioner.png) If you have questions about this, please contact us and we will help. [![Contact an expert](https://no-cache.hubspot.com/cta/default/2640104/e98cc393-c3ab-44df-a0bb-ba774141a0e8.png)](https://cta-redirect.hubspot.com/cta/redirect/2640104/e98cc393-c3ab-44df-a0bb-ba774141a0e8)   Topics - [R58](https://blog.vbg.eu/en/tag/r58) - [technics](https://blog.vbg.eu/en/tag/technics) [![Miso Kalliokorpi](https://blog.vbg.eu/hs-fs/hubfs/Authors_BW_Miso_Kalliokorpi.png?width=200&name=Authors_BW_Miso_Kalliokorpi.png)](https://blog.vbg.eu/en/author/miso-kalliokorpi) #### [Miso Kalliokorpi](https://blog.vbg.eu/en/author/miso-kalliokorpi) Miso är utbildad Maskiningenjör och ansvarar för utvecklingen av lastbärande strukturer så som dragbalkar, dragbalksgavlar, dragstänger och underkörningsskydd. I arbetet, som sträcker sig från idé till färdig produkt, ingår beräkningar, provningar samt slutgiltig certifiering. Miso har varit verksam inom fordonsindustrin i mer än 25 år både Sverige och i Europa. På fritiden är han engagerad inom idrottsrörelsen och är ungdomstränare i fotboll. Miso is a trained Mechanical engineer and is responsible for the development of load-carrying structures such as drawbeams, drawbeam end pieces, drawbars and underrun protection. The work that extends from idea to the finished product and includes calculations, tests and final certification. Miso has been active in the automotive industry for more than 25 years both in Sweden and Europe. In his spare time he is engaged in the sports movement and is a youth coach in football. Miso er uddannet maskiningeniør og er ansvarlig for udviklingen af lastbærende strukturer som f.eks. trækbjælker, gavle til trækbjælker, trækstænger og bagkofangere. Arbejdet, der strækker sig fra idé til færdigt produkt, omfatter beregninger, tests og endelig certificering. Miso har været beskæftiget inden for bilindustrien i mere end 25 år både i Sverige og i Europa. I sin fritid er han engageret inden for idrætsbevægelsen og er ungdomstræner i fodbold. Miso on koulutettu koneinsinööri ja vastaa kantavien rakenteiden, kuten vetopalkkien, vetopalkkien sivulevyjen, vetoaisojen ja alleajosuojien kehittämisestä. Työhön, joka ulottuu ideasta valmiiseen tuotteeseen, sisältyy laskelmia, testejä sekä lopullinen sertifiointi. Miso on työskennellyt ajoneuvoteollisuudessa yli 25 vuotta sekä Ruotsissa että Euroopassa. Vapaa-ajallaan hän on mukana urheilutoiminnassa ja on nuorten valmentajana jalkapallossa. Miso ist gelernter Maschinenbauingenieur und verantwortlich für die Entwicklung von tragenden Strukturen wie Traversen, Deichseln, Zugstangen und Unterfahrschutzvorrichtungen. Seine Arbeit erstreckt sich von der Idee bis zum fertigen Produkt und umfasst Berechnungen, Tests und die endgültige Zertifizierung. Miso hat seit mehr als 25 Jahren in der Automobilindustrie sowohl in Schweden als auch in Europa gearbeitet. In seiner Freizeit engagiert er sich als Jugendtrainer im Fußball für den Sport. Miso er utdannet maskiningeniør og har ansvaret for utviklingen av lastbærende strukturer som trekkbjelker, trekkbjelkgavler, tilhengerdrag og underkjøringshinder. I arbeidet, som strekker seg fra idé til ferdig produkt, inngår tester og endelig sertifisering. Miso har arbeidet i bilindustrien i mer enn 25 år i både Sverige og Europa. På fritiden er han engasjert i idretten, og han er ungdomstrener i fotball. ### Recent posts - [VBG Strengthens Capacity with New Testing Facility](https://blog.vbg.eu/en/vbg-strengthens-capacity-with-new-testing-facility) - [How do I perform a function check?](https://blog.vbg.eu/en/how-do-i-perform-a-function-check) - [How Dagab uses VBG Driver Assist](https://blog.vbg.eu/en/how-dagab-uses-vbg-driver-assist) - [How to protect your investment and extend the system’s lifespan](https://blog.vbg.eu/en/how-to-protect-your-investment-and-extend-the-systems-lifespan) - [What technical requirements apply to 34.5 meter combinations?](https://blog.vbg.eu/en/what-technical-requirements-apply-to-34.5-meter-combinations) - [View all](https://blog.vbg.eu/en/all) ### Topics - [Transportation industry (73)](https://blog.vbg.eu/en/tag/transportation-industry) - [Ownership (48)](https://blog.vbg.eu/en/tag/ownership) - [Transport industry (40)](https://blog.vbg.eu/en/tag/transport-industry) - [Use (31)](https://blog.vbg.eu/en/tag/use) - [Engineering (5)](https://blog.vbg.eu/en/tag/engineering) ### Authors - [Anders Erkén (2)](https://blog.vbg.eu/en/author/anders-erkén) - [Emil Vikingsson (3)](https://blog.vbg.eu/en/author/emil-vikingsson) - [Emilia Angséus (1)](https://blog.vbg.eu/en/author/emilia-angséus) - [Eric Carlebom (5)](https://blog.vbg.eu/en/author/eric-carlebom) - [Fredrik Gustavsson (1)](https://blog.vbg.eu/en/author/fredrik-gustavsson) ## Discuss this post Leave a comment ## Recommended reading ![Are you ready for the new RUPD legislation?](https://blog.vbg.eu/hubfs/VBG/VBG_Images/VBG_Image_Illustration_Graphic/Underkorningsskydd.png) ~ 2 min #### Are you ready for the new RUPD legislation? 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