In a composite bar (steel + concrete), when subjected to axial load, the stress in each material is related by:
Choose the correct answer
Stress in steel = stress in concrete always
Strain is equal in both materials (compatibility), so σ_s = m·σ_c (m = Es/Ec)
Load is equally divided
Stresses are proportional to area
Correct Answer
B. Strain is equal in both materials (compatibility), so σ_s = m·σ_c (m = Es/Ec)
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Composite bar: strain compatibility → strain in steel = strain in concrete (ε_s = ε_c). Therefore: σ_s/Es = σ_c/Ec, so σ_s = m·σ_c where m = Es/Ec (modular ratio). Load compatibility: P = σ_s·As + σ_c·Ac. These two equations solve for stresses in each material.
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