ESE CE Fluid Mechanics : National Champion Test for ESE & GATE CE Exams

Question 1

A hollow circular shaft has the diameters 50 cm and 30 cm and is subjected to a torque. If the realized maximum shear stress is 30 N/mm², what is the applied torque to nearest units?

Question 2

What is the Polar Modulus of a solid circular metal shaft of diameter 8 cm?

Question 3

A closely coiled helical spring A and B are respects but for the number of turns, with A having just half the number of turns of that B. What is the ratio of deflections in terms of spring A to spring B?

Question 4

Consider a circular member of diameter D subjected to a compressive load P. For a condition of no tensile stress in the cross-section, the maximum radial distance of the load from the centre of the circle is

Question 5

A stepped column carries loads as shown below. What is the maximum normal stress in the column at B in the larger diameter column?

Question 6

In a body loaded under plane stress conditions, what is the number of independent stress components in order to completely specify the state of stress at a point?

Question 7

A circular rod of diameter 30 mm and length 200 mm is subjected to a tensile force. The extension in rod os 0.09 mm and changes in diameter is 0.0045 mm. What is the Poisson’s ratio of the material of the rod?

Question 8

A square beam laid flat is then rotated in such a way that one of its diagonal becomes horizontal. How is its moment capacity affected?

Question 9

A rectangle beam of dimensions b

d is to be cut from a circular log of wood of diameter D. For the beam to be strongest in bending the dimensions will be

Question 10

A mild steel structural section is an unsymmetrical I-section with the greater width at the top and the smaller width at the bottom. The overall depth of the beam is 300 mm, and the flange stresses
T the top and the bottom at the beam are 150 N/mm² and 50 N/mm², respectively. What is the height of the neutral axis of the beam from its bottom?

Question 11

Consider the following statements for a beam recgtangular cross-section and uniform flexural rigidity EI subjected to pure bending:
1) The bending stresses have the maximum magnitude at the top and bottom of the cross-section.
2) The bending stresses vary linearly through the depth of the cross-section.
3) The bending stresses vary parabolically through the depth of the cross-section.
Which of these statements is/are correct?

Question 12

Statement (I): If the bending moment along the length of a beam is constant, then the beam cross-section will not experience any shear stress.
Statement (II): The shear force acting on the beam will be zero everywhere along its length.

Question 13

Match List-I with List–II and select the correct answer using the code given below the lists:
List-I
A). Subjected to bending moment at the end of a cantilever
B). Cantilever carrying uniformly distributed load over the whole length
C). Cantilever carrying a linearly varying load from zero at the free end to a maximum at the supports
D). A beam having a load at center & supported at the ends
Lists-II (Bending Moment diagram)
1). Triangle
2). Cubic parabola
3). Parabola
4). Rectangle

Question 14

Maximum shear stress in a Mohr’s circle

Question 15

Two principal tensile stresses of magnitude 40 MPa and 20 MPa are acting at a point across two perpendicular planes. An oblique plane makes an angle of 30 ° with the major principal plane. The normal stress on the oblique plane is

Question 16

At a point in a body ε₁ = 0.0004 and ε₂ = –0.00012. If E = 2×10⁵ MPa and μ = 0.3, the smallest normal stress and the largest shearing stress are ___________.

Question 17

A body is subjected to a pure tensile stress of 100 units. What is the maximum shear produced in the body at some oblique plane due to the above?

Question 18

Proof resilience may be defined as _________.

Question 19

A beam of length L is carrying a uniformly distributed load w per unit length. The flexural rigidity of the beams is EI. The reaction at the simple support at the right end is

Question 20

The figure shows cross-section of a beam subjected to bending. The area moment of inertia (in mm⁴) of this cross-section about its base is ______

Question 21

A horizontal bar with a constant cross-section is subjected to loading as shown in the figure. The Young’s moduli for the sections AB and BC are 3E and E, respectively.

For the deflection at C to be zero, the ratio P/F is ____________

Question 22

Two circular shafts made of same material, one solid (S) and one hollow (H), have the same length and polar moment of inertia. Both are subjected to same torque. Here, θ_s is the twist and

is the maximum shear stress in the solid shaft, whereas θ_H is the twist and

is the maximum shear stress in the hollow shaft. Which one of the following is TRUE? θ_H

Question 23

The stress is proportional to strain upto the proportional limit, which is the law indicating that?

Question 24

If a material has identical elastic properties in all directions, it is said to be

Question 25

Assertion (A): In a tension test on mild steel specimen, the failure of the specimen is along a plane at

to the cross section.
Reason (R): The failure of the specimen is on a plane subjected to maximum shear stress and mild steel is relatively weak in shear.

Question 26

If the hinged end of a propped cantilever of span L settles by an amount & then the rotation of the hinged end will be

Question 27

An element of a certain material in plane strain has

What is the maximum shearing strain?

Question 28

An element of a structure is subjected to two principal stresses

and

.

= 200 N/mm² (Tensile)

is Compressive
The yield stress both in simple tension and compression for the material is 240 N/mm².Poisson's ratio μ= 0.25; what is the value of

in N/mm² as per maximum normal strain theory at which the yield of material will commence?

Question 29

What is the expression for the crippling load for a column of length l with one end fixed and other end free?

Question 30

if a solid circular shaft of steel 2 cm in diameter is subjected to a permissible shear stress 10KN/cm², then the value of the twisting moment (T_r) will be