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What does this "ln" stands for? 3

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Pretty Girl7

Civil/Environmental
Nov 30, 2022
78
In the Eurocode 2, to calculate minimum reinforcement, there's the following equations.

Picture_1_hvzade.jpg


For the concrete grades above C50, the last formula is used. However, it contains "Ln", does it mean effective length of the beam, slab etc? Or something else? I didn't notice the definition is given.

(Table 3.1, Eurocode2, page 29)
Screenshot_2023-02-22_at_7.54.56_pm_k3afkk.png
 
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Not sure about Eurocode, but if it's not defined, it's most likely the same as it is in many other formulas across numerous codes and on pretty much every scientific calculator - natural log function.

Rod Smith, P.E., The artist formerly known as HotRod10
 
BridgeSmith said:
Not sure about Eurocode, but if it's not defined, it's most likely the same as it is in many other formulas across numerous codes and on pretty much every scientific calculator - natural log function.

Rod Smith, P.E., The artist formerly known as HotRod10

Thank you for the reply. Now it makes sense.
 

Table 3.1, Eurocode2, page 29 shows the fctm values vs fcm..and ( Ln ) stands for natural logarithm.

For example for C 90 , fck=90 mPa , fcm= 90+ 8=98 mPa , fctm=2.12*LN(1+fcm/10)=2.12*LN(1+98/10)= 5.0 mPa.

EC-_strength_charac_classes_gyg1ey.jpg











If you put garbage in a computer nothing comes out but garbage. But this garbage, having passed through a very expensive machine, is somehow ennobled and none dare criticize it. ( ANONYMOUS )
 
HTURKAK said:
Table 3.1, Eurocode2, page 29 shows the fctm values vs fcm..and ( Ln ) stands for natural logarithm.

For example for C 90 , fck=90 mPa , fcm= 90+ 8=98 mPa , fctm=2.12*LN(1+fcm/10)=2.12*LN(1+98/10)= 5.0 mPa.

Thanks a lot for the information and for the example calculation.
 
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