A bar of varying square cross-section is loaded symmetrically

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A bar of varying square cross-section is loaded symmetrically as shown in the figure, loads shown are placed on one of the axes of symmetry of cross-section. Ignoring self weight, the maximum tensile stress in N/nm² anywhere is

1. 16.0
2. 20.0
3. 25.0
4. 30.0

Correct Option: C

Consider top portion

σ₁ =	250 × 10³	= 25 MPa
	100 × 100

Consider bottom portion

σ₂ =	50 × 10³	= 20 MPa
	50 × 50

∴ σ_max = σ₂ = 25 MPa