The column is made of concrete having a density of 2.30 Mg / m^3 . At its top B it is subjected

step 1 have friends here it is given element is made of concrete of density 2 .3 m g by peter tube the

The column is made of concrete having a density of 2.30 Mg /...

The column is made of concrete having a density of $2.30 \mathrm{Mg} / \mathrm{m}^{3} .$ At its top $B$ it is subjected to an axial compressive force of $15 \mathrm{kN}$. Determine the average normal stress in the column as a function of the distance $z$ measured from its base.

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Key Concepts

Axial Compressive Stress

This concept involves determining the internal stress in a member by dividing the applied axial force (which may include both externally applied loads and self-weight) by the cross-sectional area. It is fundamental in mechanics of materials for analyzing how a column or similar structural element responds to compressive loads along its longitudinal axis.

Self-Weight Loading

Self-weight loading refers to the distributed load that arises from the weight of the structure’s own material. In a column, each segment of material contributes to the overall load due to gravity, meaning that the force acting on any section is a combination of external loads and the cumulative weight of material above that point.

Static Equilibrium

Static equilibrium is the principle that the sum of forces and moments in a system at rest must be zero. In the context of a vertical column, applying static equilibrium allows for the calculation of internal forces or stresses by balancing the applied load and the weight of the material above any section, resulting in an expression for stress as a function of the vertical coordinate.

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