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

For a linear elastic frame, if stiffness matrix is doubled, the existing stiffness matrix, the deflection of the resulting frame will be

  1. twice the existing value

  2. half the existing value

  3. the same as existing value

  4. indeterminate value
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

 For a linear elastic frame stiffness is the force required for unit deflection when stiffness of the elastic frame is doubled then deflection will be reduced to half for the constant applied force.

Multiple choice

As per IS : 456-2000, consider the following statements I. The modular ratio considered in the working stress method depends on the type of steel used II. There is an upper limit on the nominal shear stress in beams (even withshear reinforcement) due to the possibility of crushing of concrete in diagonal compression. III. A rectangular slab whose length is equal to its width may not be a two-way slab for some support 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
B Correct answer
Explanation

 $\text{Modulus ratio in working stress method is defined as}\\ \hspace{1.5cm}m=\frac{280}{3\sigma_{cbc}}\\ \text{Hence,dose not depend upon the type of steel used but type of grade of concrete.E for steel remains constant for all steel}\bigg(m=\frac{E_c}{E_s}\bigg)$

Multiple choice

Assuming concrete below the neutral axis to be cracked, the shear stress across the depth of a singlyreinforce rectangular beam section

  1. increases parabolically to the neutral axis and then drops suddently to zero value.

  2. increases parabolically to the neutral axis and then remains constant over the remaining depth

  3. increases linearly to the neutral axis and then remains constant up to the tension steel

  4. increases parabolically to the neutral axis and then remains constant up to the tension steel.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

 Concrete is assumed as elastic material in the analysis and shear stress of the concrete varies as parabolically and maximum at neutral axis and for zero at top of the section. Since, there is crack below the neutral axis and steel present at the bottom of section so a constant stress up to steel (tension).

Multiple choice

Consider the following statements : I. The width-thickness ratio limitations on the plate elements under compression in steel members are imposed by IS: 800-1984 in order to avoid fabrication difficulties. II. In a doubly reinforced concrete beam, the strain in compressive reinforcement is higher than the strain in the adjoining concrete. III. If a cantilever I-section supports slab construction all along its length with sufficient friction between them, the permissible bending stress in compression will be the same as that in tension.

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

 To avoid buckling not for fabrication difficulty.

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.