6-69 | Ultimate Guide to Handling 150 kN.m Moment with Minimal Bending Stress | Mech of Materials

6-69. Two designs for a beam are to be considered. Determine which one will support a moment of
M = 150 kN # m with the least amount of bending stress. What is that stress?
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[@hadideyal9377]

Thank's

[@engradnanrasheedmechanical]

You are welcome 😊

[@engradnanrasheedmechanical]

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[@HashemAljifri515]

Could we think it differently? Like solving for moment of inertia normally for each section independently,, without considering a whole rectangle - the 2 holes right?? Honestly moment of inertia is a very tedious topic from statics... Unless if it was a differential area

[@engradnanrasheedmechanical]

Yes you can but it's the easiest way. You can use parallel axis theory for finding the moment of inertia ...

[@HashemAljifri515]

@@engradnanrasheedmechanical but how can I know on which axis should I calculate the area moment of inertia in bending? If the centroidal axis were unknown for example? I always miss in this topic, the final result comes always wrong with me I didn't understand it properly... I just know that it is area squared and also the ability for an object to resist rotation or torque... What is moment of inertia??!!

[@engradnanrasheedmechanical]

normally it is taken about the horizontal axis. it depends upon the moment around the axis . there are many other problems available so you can check that and learn from that as well.
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