What is the Young's modulus for concrete under third point loading?

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SUMMARY

The discussion centers on calculating Young's modulus for concrete under third point loading, specifically for a beam measuring 500mm in length, 100mm in width, and 100mm in depth. The force at rupture is noted as 6.627kN, with a change in length of 0.019mm. The initial calculation of Young's modulus at 6.87 GPa is deemed low, as concrete typically exhibits a higher modulus. Participants emphasize that Young's modulus should be derived from lower load values and varying increments, using the deflection formula for a simply supported beam under mid-point load, rather than from rupture load deflection.

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  • Understanding of Young's modulus and its significance in material science
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  • Knowledge of stress-strain relationships in concrete
  • Basic principles of load testing and material failure
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  • Research the deflection formula for simply supported beams under mid-point load
  • Learn about the differences between Young's modulus and secant modulus
  • Explore methods for conducting load tests on concrete specimens
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Engineers, material scientists, and construction professionals involved in concrete testing and structural analysis will benefit from this discussion, particularly those focused on accurately determining Young's modulus for concrete under load conditions.

ar202
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I've got a beam of Length 500mm under third point loading.

width = 100mm depth=100mm

Force at rupture is 6.627kN

change in length =0.000019m = 0.019mm

can someone help me with the Youngs modulus please

i'm getting 6.87 GPa... which seems a bit low for concrete? Although possible as i cast it myself!
 
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I am not sure how you are arriving at this figure, but regardless, if you are looking at rupture load deflection, you are not going to get Youngs modulus, you will get a rupture modulus.
Concrete does not behave elastically except for reasonably low levels of stress and strain. When you approach rupture load, the stress strain relation is far from linear, and curves and flattens out considerably.

If you want Youngs modulus, you need to use smaller values of load in varying increments, and calculate it by using the deflection formula for a simply supported beam under mid point load. At higher values of load, you get a secant modulus, which is different.
 
PhanthomJay said:
I am not sure how you are arriving at this figure, but regardless, if you are looking at rupture load deflection, you are not going to get Youngs modulus, you will get a rupture modulus.
Concrete does not behave elastically except for reasonably low levels of stress and strain. When you approach rupture load, the stress strain relation is far from linear, and curves and flattens out considerably.

If you want Youngs modulus, you need to use smaller values of load in varying increments, and calculate it by using the deflection formula for a simply supported beam under mid point load. At higher values of load, you get a secant modulus, which is different.

The smalles load value i have is 0.33kN and a deflection of 0.011mm which still gives me a pretty low value of E... 9GPa i think.
 
PhanthomJay said:
I am not sure how you are arriving at this figure, but regardless, if you are looking at rupture load deflection, you are not going to get Youngs modulus, you will get a rupture modulus.
Concrete does not behave elastically except for reasonably low levels of stress and strain. When you approach rupture load, the stress strain relation is far from linear, and curves and flattens out considerably.

If you want Youngs modulus, you need to use smaller values of load in varying increments, and calculate it by using the deflection formula for a simply supported beam under mid point load. At higher values of load, you get a secant modulus, which is different.

ps thank you for your reply, I've run it through various values and its jumping from 9 to 30GPa. so i think ill take the 30 and run!
 

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