ESE 90 DAYS_Bending Theory

Consider the following statements:

Statement 1: Moment of inertia of I section is greater than rectangular section for the same cross sectional area.

Statement 2: The cross section having more area located away from neutral axis will have higher flexural strength.

A prismatic beam having circular cross section is subjected to maximum bending stresses of magnitude 30 N/mm² due to which it bends into an arc of radius 500m. The diameter of the beam if the modulus of elasticity is 2 × 10⁵ Mpa.

Consider the following statements:

Statement 1: The flexural stresses generated due to bending moment will be maximum at the centroid of the cross section

Statement 2: Neutral axis passes through centroid of the cross section.

Flexural strength of beam depends upon

(i) Material properties of the beam

(ii) Cross sectional area of beam

(iii) Shape of the cross section

(iv) Moment acting on the beam

Which of the following assumption are considered while deriving the flexural formula?

(i) The beam is subjected to bending only.

(ii) There is no distortion of cross-section of beam.

(iii) Modulus of elasticity is equal in tension and compression.

(iv) Material is in plastic state.