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

A 25 kN point load acts on the surface of an infinite elastic medium. The vertical pressure intensity in kN/m2 at a point 6.0 m below and 4.0 m away from the load will be

  1. 132

  2. 13.2

  3. 1.32

  4. 0.132
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

 $\text{We have}, \sigma_z = \frac{3Q}{2 \pi z^2} \bigg[ \frac{1}{1+(r/z)^2}\bigg]^{5/2}\\ \hspace{2.3cm}=\frac{3 \times 25}{2 \pi \times 6^2} \times \frac{3Q}{2 \pi z^2} \bigg[ \frac{1}{1+(4/6)^2}\bigg]^{5/2}\\ \hspace{2.3cm} = 0.132 kN/m^2$

Multiple choice

The modulus of rupture of concrete in terms of its characteristic cube compressive strength (fck) in MPa according to IS 456 : 2000 is

  1. 5000fck

  2. 0.7fck
  3. $5000 \sqrt{f_{ck}}$
  4. $0.7 \sqrt{f_{ck}}$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

 $\text{Modulus of rupture of concrete}\\ \hspace{2cm} \sigma_{cr} = 0.7 \sqrt{\sigma_{ck}}\\ or \hspace{1.5cm} f_{cr} = 0.7 \sqrt{f_{ck}}\\ \text{Maximum tensile stress due to flexural in concrete is given by above formula and also known as modulus of rupture of concrete.}$

Multiple choice

Consider the following statements. I. On a principal plane, only normal stress acts. II. On a principal plane, both normal and shear stresses act. III. On a principal plane, only shear stress acts. IV. Isotropic state of stress is independent of frame of reference. The TRUE statement(s) is/are

  1. I and IV

  2. II

  3. II and IV

  4. II and III
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

 Principal plane is defined a plane on which only normal stress acts and shear stress is equal to zero. Hence, statement(1) is correct. isotropic state means having same properties of material in all directions (Iso-same, tropic-direction). hence, isotropic state of stress is independent of frame of reference or direction or axis.

Multiple choice

Consider the following statements for a compression member. I. The elastic critical stress in compression increases with decrease in slenderness ratio. II. The effective length depends on the boundary conditions at its ends. III. The elastic critical stress in compression is independent of the slenderness ratio. IV. The ratio of the effective length to its radius of gyration is called as slenderness ratio. The TRUE statements are

  1. II and III

  2. III and IV

  3. II, III and IV

  4. I, II and IV
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

 $$

Multiple choice

Column I gives a list of test methods for evaluating properties of concrete and Column II gives the list of properties.

Column I Column II
P. Resonant frequency test 1. Tensile strength
Q. Rebound hammer test 2. Dynamic modulus of elasticity
R. Split cylinder test 3. Workability
S. Compacting factor test 4. Compressive strength

The correct match of the test with the property is

  1. P - 2, Q - 4, R - 1, S - 3

  2. P - 2, Q - 1, R - 4, S - 3

  3. P - 2, Q - 4, R - 3, S - 1

  4. P - 4, Q - 3, R - 1, S - 2
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

 

Multiple choice

Which of the following stress combinations are appropriate in identifying the critical condition for the design of concrete pavements?

 
Type of Stress Location
P. Load 1. Corner
Q. Temperature 2. Edge
3. Interior

  1. P - 2, Q - 3

  2. P - 1, Q - 3

  3. P - 3, Q - 1

  4. P - 2, Q - 2
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

In concrete pavement design, load stress is critical at the edge (2), and temperature warping stress is critical at the interior (3) due to the slab's restraint.