If normal stresses due to longitudinal and transverse loads on a bar are σ1 and σ2 respectively, the tangential component of the stress on an inclined plan θ °, the longitudinal load is

If normal stresses due to longitudinal and transverse loads on a bar are σ₁ and σ₂ respectively, the tangential component of the stress on an inclined plan through θ °, the longitudinal load is

1. (σ₁sin θ) + (σ₂cos θ)
2. σ₁sin² θ + σ₂cos² θ
3. (σ₁– σ₂) (sin 2θ) /2  (Ans)
4. (σ₁+ σ₂) (sin 2θ) /2