Home » Mechanical Engineering » Strength of Materials

Stability of columns: applicability of Euler's buckling formula State for which type of column Euler's critical load formula is valid, based on slenderness.

Q: Stability of columns: applicability of Euler's buckling formula State for which type of column Euler's critical load formula is valid, based on slenderness.

Concept Euler's buckling formula assumes elastic instability and is valid for columns with high slenderness ratio (long/slender), where buckling governs before material yield or crushing. Final Answer Long (slender) columns.

Difficulty: Easy

Short columns
Long (slender) columns
Both short and long columns
Only weak columns irrespective of length

Correct Answer: Long (slender) columns

Explanation:

Concept
Euler's buckling formula assumes elastic instability and is valid for columns with high slenderness ratio (long/slender), where buckling governs before material yield or crushing.

Final Answer
Long (slender) columns.

← Previous Question Next Question→

More Questions from Strength of Materials

Plane stress analysis: compute the maximum normal stress (principal stress) for a biaxial state with shear A body is under σ_x = 1200 MPa (tension) and σ_y = 600 MPa (tension) on mutually perpendicular planes. A shear stress τ_xy = 400 MPa acts on the same planes. Determine the maximum principal (normal) stress.
Thick cylinder (Lame’s theory): Maximum tangential (hoop) stress at the inner surface due to internal pressure. Given: a thick cylindrical shell with inner radius r_i, outer radius r_o, internal pressure p, and negligible external pressure. Choose the correct expression for the maximum hoop stress at r = r_i.
Composite torsional shaft: Equivalent torsional spring constant for two serial segments between rigid ends. Given two stepped portions with torsional spring constants k₁ and k₂ in series (same torque, angular twists add). Choose the correct expression for the equivalent spring constant k_eq.
In a simple bending theory, one of the assumption is that the material of the beam is isotropic. This assumption means that the
For the beam shown in the below figure, the shear force at A is equal to
A welded joint as compared to a riveted joint has __________ strength.
A body is subjected to two normal stresses 20 kN/m2 (tensile) and 10 kN/m2 (compressive) acting perpendicular to each other. The maximum shear stress is
When a cantilever beam is loaded at its free end, the maximum compressive stress shall develop at
A beam of uniform strength has
In the below figure, the stress corresponding to point D is

Discussion & Comments

No comments yet. Be the first to comment!

Join Discussion