Physics

Solid Mechanics

537 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

In the design of beams for the limit state of collapse in flexure as per IS : 456-2000, let the maximum strain in concrete be limited to 0.0025 (in place of 0.0035). For this situation, consider a rectangular beam section with breadth as 250 mm, effective depth as 350 mm, area of tension steel as 1500 mm2, and characteristic strengths of concrete and steel as 30 Mpa and 250 MPa respectively.

At the limiting state of collapse in flexure, the force acting on the compression zone of the section is

  1. 326 kN

  2. 382.668 kN

  3. 424 kN

  4. 542 kN
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

 

Multiple choice

In the design of beams for the limit state of colapse in flexure as per IS : 456-2000, let the maximum strain in concrete be limited to 0.0025 (in place of 0.0035). For this situation, consider a rectangular beam section with breadth as 250 mm, effective depth as 350 mm, area of tension steel as 1500 mm2, and characteristics strengths of concrete and steel as 30Mpa and 250 MPa respectively.

The depth of neutral axis for the balanced failure is

  1. 140 mm

  2. 156 mm

  3. 168 mm

  4. 185 mm
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

 

Multiple choice

In the design of welded tension members, consider the following statements : I. The entire cross-sectional area of the connected leg is assumed to contribute to the effective area in case of angles. II. Two angles back-to-back and tack-welded as per the codal requirements may be assumed to behave as a tee section. III. A check on slenderness ratio may be necessary in some cases.

The TRUE statements are

  1. only I and II

  2. only II and III

  3. only I and III

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

 All the statements are true.

Multiple choice

Consider the following statements I. Effective length of a battened column is usually increased to account for the additional load on battens due to the lateral expansion of columns. II. As per IS: 800-1984, permissible stress in bending compression depends on both Euler buckling stress and the yield stress of steel. III. As per IS: 800-1984, the effective length of a column effectively held in position at both ends but not restrained against rotation, is taken to be greater than that in the ideal end conditions.

The TRUE statements are

  1. only I and II

  2. only II and III

  3. only I and III

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

 $\text{As per IS :800-1984,}\\ \text{Ideal condition is that column effectively held in position at both ends but not restrained against the rotation. Both are the same hence statement 3 is false.}$

Multiple choice

Consider the following statements :

  1. In an overtuned fold, the axial plane is inclined and both limbs dip in the same direction.
  2. A recumbent fold is one in which the axial plane is essentially horizontal. Which of the statements given above is/are correct ?

  1. 1 only

  2. 2 only

  3. Both 1 and 2

  4. Neither 1 nor 2

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

In an overturned fold, the axial plane is inclined, but the limbs dip in the same direction. In a recumbent fold, the axial plane is essentially horizontal, meaning the fold has been pushed over until it lies on its side.

Multiple choice physics hooke's law

Change in the shape of a body caused by the application of a force (stress) is called as :

  1. ductility

  2. deformation

  3. hardness

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

If a force on a body changes the normal positions of the molecules of a body, resulting in a change in the configuration of the body, then the force applied is called deforming force and change in shape of the body is called deformation. 

Multiple choice physics hooke's law

Change in shape of a body caused by the application of stress is called:

  1. rigidity

  2. elasticity

  3. sheer

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

Deformation of a body is the change in shape of a body caused by the application of stress. According to the Hooke's law, the deformation caused in an elastic material is directly proportional to the stress applied to it.

Multiple choice physics hooke's law

If stress-strain relation for volumetric change is in the form $\cfrac { \Delta V }{ { V } _{ 0 } } =KP$ where $P$ is applied uniform pressure, then $K$ stands for

  1. shear modulus

  2. compressibility

  3. Young's modulus

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

Bulk modulus $=\cfrac { P }{ \Delta V/V } $
Compressibility$=\cfrac { 1 }{ Bulk\quad modulus } =\cfrac { \Delta V/V }{ P } =K\quad \quad $(Compressibility)

Multiple choice physics hooke's law

 Time dependent permanent deformation is called

  1. Plastic deformation

  2. Elastic deformation

  3. Creep

  4. Anelastic deformation
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Creep is a situation in which a component experiences deformation with time as it is put into use. Best example to illustrate this is that electrical cables are taught(tight) when they are installed but after some time they experience sagging due to self weight.

The correct option is option (c)

Multiple choice physics hooke's law

When a steel rod of length 2m is compressed its length decreases by 0.1m. Find the work done against the compressive stress.$\left( { Y } _{ steel }=2.0\times { 10 }^{ 11 }{ Nm }^{ -2 } \right) $

  1. $2.5\times { 10 }^{ 11 } J $
  2. $1.25\times { 10 }^{ 11 } J $
  3. $5.0\times { 10 }^{ 11 } J $
  4. $7.5\times { 10 }^{ 4 } J $
Reveal answer Fill a bubble to check yourself
A Correct answer
Multiple choice physics hooke's law

Four identical hollow cylindrical columns of steel support a big structure of mass $50,000$ kg. The inner and outer radii of each column are $30$cm and $40$cm respectively.Assuming the load distribution to be uniform. Calculate the compressional strains of each column, the young's modulus of steel is $2 \times {10^{11}}Pa$

  1. $2.78 \times {10^{ - 6}}$
  2. $3.78 \times {10^{ - 6}}$
  3. $2.78 \times {10^{ - 4}}$
  4. $3.78 \times {10^{ - 4}}$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Compressional strain is stress divided by Young's modulus. Total force is mass times gravity, shared equally among four columns. Calculating the cross-sectional area using inner and outer radii yields the stress, which when divided by Young's modulus gives the strain of 2.78 x 10^-6.