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pochemuha
3 years ago
10

Se tiene un pilar de hormigón de 30 cm de lado y 5 m de altura. Presenta una densidad de 2400 kg/m3 y una resistencia a la compr

esión de 500 Kg/m2. Calcula su masa. ¿Podrá resistir una masa de 10 toneladas?
Computers and Technology
1 answer:
kakasveta [241]3 years ago
6 0

Answer:

El pilar no podrá soportar una masa de 10 toneladas

Explanation:

La dimensión del pilar de hormigón se da de la siguiente manera;

La longitud del lado, s = 30 cm = 0,3 m

La altura del pilar, h = 5 m

La densidad del pilar, ρ = 2,400 kg / m³

La resistencia a la compresión del pilar, σ = 500 kg / m²

El área de la sección transversal del pilar, A = s² = 0.3 m × 0.3 m = 0.09 m²

La masa del pilar, m = ρ × A × h = 2,400 × 0.09 × 5 = 1,080

La masa del pilar, m = 1.080 kg

Tenemos;

\sigma = \dfrac{F}{A}

Dónde;

F = La carga aplicada

A = El área de la sección transversal

∴ F = A × σ

F = 0,09 m² × 500 kg / m² = 45 kg

Por tanto, la carga que el pilar puede soportar sin compresión = 45 kg <10 toneladas = 9.071,847 kg

El pilar no podrá soportar una masa de 10 toneladas.

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