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Maximum bending moment

  • Thread starter foo9008
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  • #1
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Homework Statement


how the author found the maximum moment = 0.29MNm ? is there any formula ? how to find it in this question ?
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Homework Equations




The Attempt at a Solution

 

Answers and Replies

  • #2
SteamKing
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Homework Statement


how the author found the maximum moment = 0.29MNm ? is there any formula ? how to find it in this question ?
ZoRseq4.jpg

kKIQSpL.jpg

Homework Equations




The Attempt at a Solution

Of course there's a formula. That's what beam tables are for - too look up things like the maximum B.M. without having to work them out from scratch all the time.

Here is a set of typical beam tables:

http://www.awc.org/pdf/codes-standards/publications/design-aids/AWC-DA6-BeamFormulas-0710.pdf

Your beam is Figure 1, page 4.

BTW, the calculation of the total weight of the wall above has a small error. W = 0.145 MN, rather than 0.145 kN.
 
  • #3
678
4
Of course there's a formula. That's what beam tables are for - too look up things like the maximum B.M. without having to work them out from scratch all the time.

Here is a set of typical beam tables:

http://www.awc.org/pdf/codes-standards/publications/design-aids/AWC-DA6-BeamFormulas-0710.pdf

Your beam is Figure 1, page 4.

BTW, the calculation of the total weight of the wall above has a small error. W = 0.145 MN, rather than 0.145 kN.
the shape is rectangular cross section , am i right ? why the moment shouldnt' be a(b^3) / 12 ? but , a(b^2) / 8 ?
 
  • #5
SteamKing
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the shape is rectangular cross section , am i right ? why the moment shouldnt' be a(b^3) / 12 ? but , a(b^2) / 8 ?
The problem is trying to figure out the dimensions of the cross section of the beam so that max. bending stress is limited to 7.5 MPa.

Remember, in bending, σ = M ⋅ y / I

It is postulated that the beam supporting the brick wall is twice as deep as it is wide, or w = b and d = 2 ⋅ b, and I = w ⋅ d3 / 12 and y = d/2
 

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