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 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
C Correct answer
Multiple choice physics hooke's law

The maximum stress developed in the rod is equal to $(N/m^{2})$.

  1. $5\times 10^{7}$
  2. $5\times 10^{8}$
  3. $4\times 10^{7}$
  4. $4\times 10^{8}$
Reveal answer Fill a bubble to check yourself
C Correct answer
Multiple choice physics hooke's law

Which of the following is/are true about deformation of a material?

  1. Deformation capacity of the plastic hinge and resilience of the connections are essential for good plastic behavior

  2. Deformation capacity equations considering yield stress and gradient of moment

  3. Different materials have different deformation capacity

  4. All of the above
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

In well-designed steel frame structures, inelastic deformation under severe seismic loading is confirmed in beam plastic hinges located near the beam-to-column connections. Thus, deformation capacity of the plastic hinge and resilience of the connections are essential for good plastic behavior and expected energy dissipation in steel frame structures. This essential plastic behaviour at the hinge is strongly influenced by the difference of material properties. Generally, the material properties are specified in terms of yield stress and/or ultimate strength. However, the characteristics of the materials are not defined by only these properties. Thus, the characteristics of various materials aren’t reflected in present building codes, particularly on deformation capacity classification.

Multiple choice physics common machines kinds of simple machines inclined plane, wedge, screw and wheel and axle types of simple machines

If a nail requires 3 N force to insert into wood, then the value of force required to insert a screw into wood will be:

  1. Less than 3N

  2. Greater than 3N

  3. 3N

  4. Can't say
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

A screw is preferred over a nail to insert into wood because it requires lesser force to insert. Therefore the value of force required to insert a screw in the given question is less than 3 N.

Multiple choice forces on solids elastic and plastic substances forces and matter properties of matter physics

If equal and opposite forces applied to a body tend to elongate it, the stress so produced is called

  1. Tensile stress

  2. Compressive stress

  3. Tangential stress

  4. Working stress
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Tensile stress occurs when equal and opposite forces act to pull or elongate a body. Compressive stress occurs when forces act to shorten a body.

Multiple choice forces on solids elastic and plastic substances forces and matter properties of matter physics

A steel rod of length $5\ m$ is fixed rigidly between two supports, $\alpha$ of steel$=12\times 10^{-6}/^{o}\ C$, $Y=2\times10^{12}Nm^{-2}$. With the increase in its temperature by $40^{o}\ C$, the stress developed in the rod is

  1. $9.6\times10^{5}\ Nm^{-2}$
  2. $9.6\times10^{6}\ Nm^{-2}$
  3. $9.6\times10^{7}\ Nm^{-2}$
  4. $9.6\times10^{8}\ Nm^{-2}$
Reveal answer Fill a bubble to check yourself
C Correct answer
Multiple choice forces on solids elastic and plastic substances forces and matter properties of matter physics

A bar of cross-section A is subjected to equal and opposite tensile forces at its ends. Consider a plane section of the bar whose normal makes an angle $\theta$ with the axis of the bar.
For what value of $\theta$ is the tensile stress maximum?

  1. 0

  2. 1

  3. cant say

  4. 90
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation
Tensile stress$=\cfrac { force }{ area } =\cfrac { F\cos { \theta  }  }{ A\sec { \theta  }  } $
$=\cfrac { F }{ A } \cos ^{ 2 }{ \theta  } $
Tensile strength will be maximum when $\cos ^{ 2 }{ \theta  } $ is maximum i.e., $\cos { \theta  } =1$ or $\theta =0°$
Multiple choice forces on solids elastic and plastic substances forces and matter properties of matter physics

A steel rod of length $1m$ and radius $10mm$ is stretched by a force $100kN$ along its length. The stress produced in the rod is then
 $\left( { Y } _{ steel }=2\times { 10 }^{ 11 }N\quad { m }^{ -2 } \right) $

  1. $3.18\times { 10 }^{ 6 }N\quad { m }^{ -2 }$
  2. $3.18\times { 10 }^{ 7 }N\quad { m }^{ -2 }\quad $
  3. $3.18\times { 10 }^{ 8 }N\quad { m }^{ -2 }$
  4. $3.18\times { 10 }^{ 9 }N\quad { m }^{ -2 }\quad $
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Here $r=10mm=10\times { 10 }^{ -3 }m={ 10 }^{ -2 }m$
$L=1m,F=100kN=100\times { 10 }^{ 3 }N={ 10 }^{ 5 }N$

Stress produced in the rod is:
$Stress=\cfrac { F }{ A } =\cfrac { F }{ \pi { r }^{ 2 } } =\cfrac { 100\times { 10 }^{ 3 }N }{ 3.14\times { \left( { 10 }^{ -2 }m \right)  }^{ 2 } } =3.18\times { 10 }^{ 8 }N\quad { m }^{ -2 }\quad $

Multiple choice physics turning on a pivot the turning effect of a force moment of force or torque turning effect of force couple

Consider a cylindrical shaft of length $\lambda$ and radius $R$. It is twisted by torque r. If shear modulus of material is $S$, then angle of twist should be.

  1. $\theta =\dfrac { \pi SR^{ 4 } }{ 2\tau \ell } $
  2. $\theta =\dfrac { 2\tau }{ \pi S\ell S^{ 4 } } $
  3. $\theta =\dfrac { 2\tau \ell }{ \pi SR^{ 2 } } $
  4. $\theta =\dfrac { 2\tau \ell }{ \pi SR^{ 4 } } $
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The formula for the angle of twist in a cylindrical shaft is theta = (2 * torque * length) / (pi * shear_modulus * radius^4).

Multiple choice chemistry substances in the surroundings - their states and properties elastic behaviour of solids elastic and plastic substances properties of substances

Which of the following statements is incorrect?

  1. When a material is under tensile stress, the restoring forces are caused by interatomic attraction while under compressional stress, the restoring force is due to interatomic repulsion

  2. The stretching of a coil is determined by its shear modulus

  3. Rubber is more elastic than steel

  4. Shearing stress plays an important role in the buckling of shafts
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

More elastic means, the value of an elastic constant is more and. Steel have move elastic constant in compare to Rubber, So Steel is more elastic than rubber.
All other statements are correct.