How to calculate yielding load for a concrete block?

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Discussion Overview

The discussion revolves around calculating the maximum load that a concrete block, specifically a 1m x 1m x 1m cube, can withstand before failing under uniform load. Participants explore various aspects of compressive strength and related calculations, including practical applications in design projects.

Discussion Character

  • Homework-related
  • Technical explanation
  • Exploratory

Main Points Raised

  • One participant inquires about a formula that utilizes the compressive strength of concrete (70 MPa) to determine the maximum load for a 1m cube.
  • Another participant presents a design project involving stacking concrete cubes, calculating the maximum number of 1m cubes (weighing 500kg each) that can be stacked based on a compressive strength of 40 MPa, arriving at a figure of 8000 cubes.
  • A third participant mentions that concrete cubes under uniform uniaxial compression typically fail in diagonal shear, referencing testing standards (BS 1881 part 116) for compressive strength determination.
  • The initial inquiry is repeated, with a follow-up question about the definition of axial compressive stress, indicating a desire for further clarification on related concepts.

Areas of Agreement / Disagreement

Participants express varying views on the compressive strength values (70 MPa vs. 40 MPa) and their implications for load calculations. There is no consensus on the complexity of the calculations or the factors influencing the strength of the concrete cubes.

Contextual Notes

Participants note that the depth or thickness of the material may affect the strength of the cube, suggesting that the calculations might be more complex than initially presented. The discussion also highlights the relevance of specific testing standards for determining compressive strength.

Pinj
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Hi all,

I am trying to calculate by hand the maximum load that a concrete 1m x 1m x 1m block can take before failing. The load is applied uniformly across the top of the block.

I've found out that the average compressive strength of concrete is 70 MPa. Is there a formula that makes use of the compressive strength value to find the maximum load?

Thanks!
 
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Finding the ultimate load of a concrete block

Homework Statement



My design project involves stacking up concrete cubes into a tower (think Giza Pyramids). Each cube measures 1 metre on each side and weighs 500kg. How many of such cubes can be stacked on top of one another before the one at the very bottom fails (ie. crushed).

Given that the compressive strength of concrete is 40 MPa or 40x10^6 N/m2.

Homework Equations



Pressure = Force / Area

The Attempt at a Solution



40x10^6 = Force / 1m2
Max. Force = 40x10^6 N

Number of cubes = Max. Force / force exerted by one cube
= (40x10^6) / (500 x 10)
= 8000 cubes

Somehow I think it ought to be more complicated than this because the depth or thickness of the material should also have an effect on the strength of the cube. Please advise, thank you!
 
Concrete cubes under uniform uniaxial compression fail in diagonal shear.

This is the standard method for testing concrete although the cube size is rather smaller than a one metre cube.

The method and relevant formulae can be found in BS 1881 part 116 : Methods for determination of compressive strength of concrete cubes.
 
Last edited:
(2 threads merged)
 
Pinj said:
Hi all,

I am trying to calculate by hand the maximum load that a concrete 1m x 1m x 1m block can take before failing. The load is applied uniformly across the top of the block.

I've found out that the average compressive strength of concrete is 70 MPa. Is there a formula that makes use of the compressive strength value to find the maximum load?

Thanks!
What is the definition of axial compressive stress?
 

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