Multiple choice

The state of two dimensional stress acting on a concrete lamina consists of a direct tensile stress,$\sigma_x$= 1.5 N/mm2, and shear stress $\tau$= 1.20 N/mm2, which cause cracking of concrete. The tensile strength of the concrete in N/mm2 is

  1. 1.5

  2. 2.08

  3. 2.17

  4. 2.29

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Using Mohr's circle for a 2D stress state, the principal tensile stress is calculated as sigma_1 = sigma_x/2 + sqrt((sigma_x/2)^2 + tau^2). Substituting the given values (1.5 and 1.2) yields approximately 2.17 N/mm^2.