What is mechanical stress?

In building engineering, stress usually means mechanical stress: the force acting on a material per unit of area. The formula is σ = F / A, where F is the force in newtons and A the area in mm². The unit is N/mm², which equals MPa (megapascal). Stress is what a structural engineer compares with the strength of a material: as long as the stress that occurs stays below the permissible value, the component holds.

The Dutch word spanning has two other meanings in construction: electrical voltage (volts) and the span of a beam or arch. This article is about the mechanical meaning.

Types of stress

Worked example

A 100 × 100 mm column carries 10 kN (10,000 N). The area is 10,000 mm². The compressive stress is then 10,000 / 10,000 = 1 N/mm².

For comparison, characteristic strengths from the standards:

Characteristic strengths of common building materialsSteel S235 (yield)Steel S235 (yield): 235 N/mm²235 N/mm²Concrete C20/25 (compression)Concrete C20/25 (compression): 20 N/mm²20 N/mm²Softwood C24 (bending)Softwood C24 (bending): 24 N/mm²24 N/mm²
Characteristic strengths from the standards, as listed in the article: yield strength for steel, cylinder compressive strength for concrete, bending strength for softwood. A structural engineer does not calculate with these values directly, but with design values that include safety factors.

A structural engineer does not calculate with these values directly, but with design values that include safety factors.

Application

  1. Materials behave differently. Concrete and masonry are strong in compression but weak in tension; that is why concrete is reinforced. Steel is strong in both tension and compression.
  2. Stress concentrations. At corners, holes and openings the stress rises locally. That is often where the first cracks appear.
  3. Smaller cross-section = higher stress. A chase or hole in a beam or column reduces the cross-section. Always have this assessed.

Common mistake: confusing stress with strength. Stress is what occurs in the material as a result of the load; strength is the maximum the material can withstand.

Related terms

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