Physics

Solid Mechanics

510 Questions

Solid mechanics questions evaluate the understanding of stress, strain, and material deformation under various loads. Topics include analyzing beams, cantilevers, and structural steel designs using specific industrial standards. These principles are strictly examined in engineering and civil services preliminary tests.

Stress and strainBeam analysisPrestressed concreteMaterial strengthStructural design

Solid Mechanics Questions

Multiple choice

Muller Breslau principle in structural analysis is used for

  1. drawing influence line diagram for any force function

  2. writing virtual work equation

  3. super position of load effects

  4. none of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

 Muller Breslau used for drawing influence line diagram for any force function by means of deflected diagram.

Multiple choice

Top ring beam of an Intze tank carries a hoop tension of 120 kN. The beam cross section is 250 mm wide and 400 mm deep and it is reinforced with 4 bars of 20 mm diameter of Fe 415 grade. Modular ratio of the concrete is 10. The tensile stress in N/mm2 in the concrete is

  1. 1.02

  2. 1.07

  3. 1.20

  4. 1.32
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The hoop tension is resisted by the concrete and the steel reinforcement. Using the modular ratio m=10, the equivalent area of concrete is A_eq = A_c + (m-1)A_s. The tensile stress in concrete is sigma_c = T / A_eq.

Multiple choice

A long structural column (length = L) with both ends hinged is acted upon by an axial compressive load P. The differential equation governing the bending of column is given by $Ei \frac{d^2y}{dx^2} = - py$where y is the structural lateral deflection and EI is the flexural rigidity. The first critical load on column responsible for its buckling is given by
  1. $\pi^2 EI/L^2$
  2. $\\sqrt{2} \pi^2 EI/L^2$
  3. $2 \pi^2 EI/L^2$
  4. $4 \pi^2 EI/L^2$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The governing differential equation for a column with hinged ends leads to the Euler buckling load formula. For both ends hinged, the effective length is equal to the actual length L, resulting in P_cr = pi^2 * EI / L^2.

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.