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Test: Stresses in Beams Level - 1 - Mechanical Engineering MCQ


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20 Questions MCQ Test - Test: Stresses in Beams Level - 1

Test: Stresses in Beams Level - 1 for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Test: Stresses in Beams Level - 1 questions and answers have been prepared according to the Mechanical Engineering exam syllabus.The Test: Stresses in Beams Level - 1 MCQs are made for Mechanical Engineering 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Stresses in Beams Level - 1 below.
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Test: Stresses in Beams Level - 1 - Question 1

Two beams a square of side ‘a’ and one with rectangular sides ‘a’ in width and 2a in depth are compared. The ratio of moment of inertia of square to rectangular section is

Detailed Solution for Test: Stresses in Beams Level - 1 - Question 1
Moment of inertia of square

Test: Stresses in Beams Level - 1 - Question 2

A beam cross-section is used in two different orientations as shown in the figure given below.

Detailed Solution for Test: Stresses in Beams Level - 1 - Question 2

σA = 2σB

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Test: Stresses in Beams Level - 1 - Question 3

The ratio of the curvature of the 3 loose beams. (b × d) placed one over the other to an integral beam (b × nd) is

Detailed Solution for Test: Stresses in Beams Level - 1 - Question 3

R = Radius of curvature

Test: Stresses in Beams Level - 1 - Question 4

The maximum compressive stress at the top of a beam was 1600kg/cm2 and the corresponding tensile stress at its bottom was 800 kg/cm2. If the depth of the beam was 15 cm the neutral axis from the top will be

Detailed Solution for Test: Stresses in Beams Level - 1 - Question 4

Stress diagram By similar triangle

Xu = 10 cm

Test: Stresses in Beams Level - 1 - Question 5

The width of the strongest beam of rectangular section that can be cut out of a cylindrical log of wood whose diameter is 30 cm would be (in cm)

Detailed Solution for Test: Stresses in Beams Level - 1 - Question 5

Test: Stresses in Beams Level - 1 - Question 6

A cantilever of constant depth carries a uniformly distributed load on the whole span. To make the maximum stress at all sections the same, the breadth of the section at a distance ‘x’ from the free end should proportional to

Detailed Solution for Test: Stresses in Beams Level - 1 - Question 6
At a distance ‘x’ from free end,

∴ The breadth is proportional to x2 .

Test: Stresses in Beams Level - 1 - Question 7

A beam of T-section has I = 1000 cm4 and depth 10 cm. Flange of the section is in tension. If the maximum tensile stress is two times the maximum compressive stress, what is section modulus in compression?

Detailed Solution for Test: Stresses in Beams Level - 1 - Question 7

= 150 cm3

Test: Stresses in Beams Level - 1 - Question 8

For the configuration of loading shown in the given figure, the stress in fiber AB is given by

Detailed Solution for Test: Stresses in Beams Level - 1 - Question 8

σAB = σbending (T) + σaxial(C)

Test: Stresses in Beams Level - 1 - Question 9

A beam having rectangular cross section 200mm wide and 400mm deep is simply supported over a span of 5m. It is carrying a concentrated load of 10 kN at the centre of the span. The maximum bending stress developed at quarter span of the beam is

Detailed Solution for Test: Stresses in Beams Level - 1 - Question 9

Moment at quarter span, M = 5 × 1.25 = 6.25 kN­m

Maximum bending stress,

M = fZ

f = 1.172 N/mm2

Test: Stresses in Beams Level - 1 - Question 10

Two beams of cross-section circular and square have the same length, same allowable bending stress and the same moment of resistance. The weight of the beam with circular section is K times that of the square section, where ‘K’ is

Detailed Solution for Test: Stresses in Beams Level - 1 - Question 10
Zcircle = Zsquare

K = 1.118

Test: Stresses in Beams Level - 1 - Question 11

For a rectangular section, keeping breadth ‘’b’’ constant, the depth ‘’d’’ for uniform strength beam will have relation with bending moment ‘’M’’ as

Detailed Solution for Test: Stresses in Beams Level - 1 - Question 11
The strength of section is uniform

M = σb × Z

M = σb × bd2 / 6

M ∝ b

M ∝ d2

d ∝ √M

Test: Stresses in Beams Level - 1 - Question 12

If a beam is cut in halves horizontally and the two halves are laid side by side, it can in comparison to the original beam carry

Detailed Solution for Test: Stresses in Beams Level - 1 - Question 12

Test: Stresses in Beams Level - 1 - Question 13

A hollow beam of square section with external dimensions of 50.0 mm and thickness 5.0 mm can sustain a stress of 100 MPa. Its capacity in flexure is

Detailed Solution for Test: Stresses in Beams Level - 1 - Question 13

Test: Stresses in Beams Level - 1 - Question 14

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?

Detailed Solution for Test: Stresses in Beams Level - 1 - Question 14
Moment capacity of a beam is given by MR = σy × Z

For a particular beam σy is constant

∴ MR ∝ Z

When beam is laid flat, then

∴ Moment capacity increases by 41.4%.

Test: Stresses in Beams Level - 1 - Question 15

A T-section beam is simply supported and subjected to a uniform distributed load over its whole span. Maximum longitudinal stress in the beam occurs at

Detailed Solution for Test: Stresses in Beams Level - 1 - Question 15

YBottom > YTop

Since the bottom fiber is farthest from the neutral axis. It will experience maximum longitudinal stress.

Y is the distance of fiber from the neutral axis.

Test: Stresses in Beams Level - 1 - Question 16

The ratio of flexibility of ‘n’ loose beams (b × d) placed one over the other to the flexibility of one integral beam (nb × d) is

Detailed Solution for Test: Stresses in Beams Level - 1 - Question 16
Flexibility of beam = 1 / stiffness

Hence, Flexibility ⍺EI

Hence the answer is (A).

Test: Stresses in Beams Level - 1 - Question 17

A solid circular cross-section cantilever beam of diameter ϕ = 100 mm carries a shear force of 10 kN at the free end. The maximum shear stress is

Detailed Solution for Test: Stresses in Beams Level - 1 - Question 17
d = 100 mm V = 10 kN = 104N

Test: Stresses in Beams Level - 1 - Question 18

A wooden beam of rectangular cross section 100mm × 200mm is formed by gluing two identical beams of square cross section. If the safe shear stress of the glue is 3 N⁄mm2, the safe shear strength

Detailed Solution for Test: Stresses in Beams Level - 1 - Question 18
Maximum shear stress

F = 40 × 103N

= 40 kN

Test: Stresses in Beams Level - 1 - Question 19

The given figure (all dimensions are in mm) shows an I-section of the beam.

Detailed Solution for Test: Stresses in Beams Level - 1 - Question 19

Test: Stresses in Beams Level - 1 - Question 20

If a beam of rectangular cross-section is subject to a vertical shear force S, then how much shear force will be carried by the upper one third of the section?

Detailed Solution for Test: Stresses in Beams Level - 1 - Question 20

Shear stress at EF is given by

Shear force carried by elementary strip of thickness ‘dy’

dF = τ × !rea of elementary strip

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