The magnitude of maximum shear stress is (a) ± (1/2)[ ((σx –σy) 2 + 4 τ 2 )) 0.5 ] (b) ± (1/2)[ (1/2)((σx –σy) 2 + 4 τ 2 )) 0.5 ] (c) ± (1/2)[ ((1/2)(σx –σy) 2 + 4 τ 2 )) 0.5 ] (d) None

The magnitude of maximum shear stress is

(a) ± (1/2)[ ((σx –σy) 2 + 4 τ 2 )) 0.5 ]

(b) ± (1/2)[ (1/2)((σx –σy) 2 + 4 τ 2 )) 0.5 ]

(c) ± (1/2)[ ((1/2)(σx –σy) 2 + 4 τ 2 )) 0.5 ]

(d) None
by

1 Answer

Answer :

(a) ± (1/2)[ ((σx –σy) 2 + 4 τ 2 )) 0.5 ]
by

Related questions

The magnitude of principal stresses due to complex stresses is (a) (1/2)[ (σ x + σ y ) ± ((σ x –σ y ) 2 + 4 τ 2 )) 0.5 ] (b) (1/2)[ (σx + σy) ± (1/2)((σx –σy) 2 + 4 τ 2 )) 0.5 ] (c) (1/2)[ (σx + σy) ± ((1/2)(σx –σy) 2 + 4 τ 2 )) 0.5 ]

Description : The magnitude of principal stresses due to complex stresses is (a) (1/2)[ (σ x + σ y ) ± ((σ x –σ y ) 2 + 4 τ 2 )) 0.5 ] (b) (1/2)[ (σx + σy) ± (1/2)((σx –σy) 2 + 4 τ 2 )) 0.5 ] (c) (1/2)[ (σx + σy) ± ((1/2)(σx –σy) 2 + 4 τ 2 )) 0.5 ]

Last Answer : (a) (1/2)[ (σ x + σ y ) ± ((σ x –σ y ) 2 + 4 τ 2 )) 0.5 ]

Maximum principal stress is equal to (a) (σx + σy)/2 + [ (σx –σy) 2 + τ 2 ] 0.5 (b) (σx + σy)/2 + 0.5 [ (σx –σy) 2 + τ 2 ] 0.5 (c) (σx + σy)/2 + 0.5 [ (σx –σy) 2 + 4τ 2 ] 0.5 (d) None

Description : Maximum principal stress is equal to (a) (σx + σy)/2 + [ (σx –σy) 2 + τ 2 ] 0.5 (b) (σx + σy)/2 + 0.5 [ (σx –σy) 2 + τ 2 ] 0.5 (c) (σx + σy)/2 + 0.5 [ (σx –σy) 2 + 4τ 2 ] 0.5 (d) None

Last Answer : (c) (σx + σy)/2 + 0.5 [ (σx –σy) 2 + 4τ 2 ] 0.5

The graphical method of Mohr's circle represents shear stress (τ) on ______ a. X-axis b. Y-axis c. Z-axis d. None of the above

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Which of the following formulae is used to calculate tangential stress, when a member is subjected to stress in mutually perpendicular axis and accompanied by a shear stress? a. [(σ x – σ y )/2 ]sin θ – τ cos 2θ b. [(σ x – σ y )/2 ]– τ cos 2θ c. [(σ x – σ y )/2 ]sin θ – τ 2 cos θ d. None of the above

Description : Which of the following formulae is used to calculate tangential stress, when a member is subjected to stress in mutually perpendicular axis and accompanied by a shear stress? a. [(σ x - σ y )/2 ]sin θ - τ cos 2θ b. [(σ x - ... τ cos 2θ c. [(σ x - σ y )/2 ]sin θ - τ 2 cos θ d. None of the above

Last Answer : c. [(σ x – σ y )/2 ]sin θ – τ 2 cos θ

In a body under pure shear, the magnitude and nature of the two principal stresses are a. Firstly Equals shear stress, opposite nature b. Secondly Equals shear stress, same nature c. Both (a) & (b) d. None

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Last Answer : a. Firstly Equals shear stress, opposite nature

A complementary shear stress is equal in magnitude and opposite in rotational tendency of an applied (a) Tensile stress (b) Compressive stress (c) Shear stress (d) None

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Last Answer : (c) Shear stress

Principal stress is the magnitude of ________ stress acting on the principal plane. a. Normal stress b. Shear stress c. Both a. and b. d. None of the above

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Last Answer : a. Normal stress

The magnitude of maximum principal stress is a. Firstly (σ x +σ y )/2+ (1/2)( σ x +σ y ) +4τ 2 ) 5 b. Secondly (σ x +σ y )/2+ (1/2)( σ x -σ y ) 2 +4τ 2 ) 5 c. Thirdly (σ x +σ y )/2+ (1/2)( σ x +σ y ) 2 +4τ 2 ) 5 d. None

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Last Answer : b. Secondly (σ x +σ y )/2+ (1/2)( σ x -σ y ) 2 +4τ 2 ) 5

Symbols for principal stresses are a. Firstly σ, τ & γ b. Secondly σ 1 , σ 2 & σ 3

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Last Answer : b. Secondly σ 1 , σ 2 & σ 3

The maximum shear stress in spring wire is induced at (A) Inner surface of the coil (B) Outer surface of the coil (C) Central surface of the coil (D) End coils

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Parallel fillet weld and transverse fillet weld both have the plane in which maximum shear stress occurs at 45’ to the leg dimension. a) True b) False

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Among maximum shear stress theory and distortion energy theory, which gives the higher value shear yield strength? a) Maximum shear stress theory b) Distortion energy theory c) Both give equal values d) Vary from material to material

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According to the ASME code, maximum allowable shear stress is taken as X% of yield strength or Y% of ultimate strength. a) X=30 Y=18 b) X=30 Y=30 c) X=18 Y=18 d) X=18 Y=30

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Last Answer : a) X=30 Y=18

Maximum shear stress in transverse fillet weld of leg h and length l is a) P/hl b) 1.21P/hl c) P/1.21hl d) None of the listed

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According to the ASME code, maximum allowable shear stress is taken as X% of yield strength or Y% of ultimate strength. a) X=30 Y=18 b) X=30 Y=30 c) X=18 Y=18 d) X=18 Y=30

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Maximum shear stress theory is used for (A) Cast iron shafts (B) Steel shafts (C) Flexible shafts (D) Plastic shafts

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A transmission shaft subjected to pure bending moment should be designed on the basis of (A) Maximum principal stress theory (B) Maximum shear stress theory (C) Distortion energy theory (D) Goodman or Soderberg diagrams

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Among maximum shear stress theory and distortion energy theory, which gives the higher value shear yield strength? a) Maximum shear stress theory b) Distortion energy theory c) Both give equal values d) Vary from material to material

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For a homogeneous & isotropic body under hydrostatic pressure, which theory of elastic failure does not fail (a) Firstly Maximum Principal Theory (b) Secondly Maximum Shear Stress Theory (c) Thirdly Maximum Principal Energy Theory (d) None

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Under complex loading, if elastic limit reaches in tension, then failure occurs due to (a) Firstly Maximum principal strain theory (b) Secondly Maximum principal theory of strain energy (c) Thirdly Maximum shear stress theory (d) None

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A ductile material may not meet a failure if it has been tested for the theories of failure (a) Firstly Maximum Shear Stress Theory (b) Secondly Maximum Shear Strain Energy Theory (c) Both (a) & (b) (d) None

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Maximum shear stress is equal to (a) (σ1 –σ2)/2 (b) (σ1 + σ2)/2 (c) (σ1 + 2σ2)/2 (d) None

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Under maximum shear stress theory, maximum shear stress is equal to (a) Allowable stress in tension (b) Allowable stress in compression (c) Allowable stress in shear (d) None

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Maximum shear stress theory is applicable to (a) Ductile materials (b) Brittle materials (c) Composite materials

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Maximum shear stress theory is also called as (a) Guest’s theory (b) Haigh theory (c) Rankine theory (d) None

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Maximum shear stress theory is also called as (a) Beltrami theory (b) Haigh theory (c) Tresca theory (d) None

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Maximum shear stress theory is also called as (a) Beltrami theory (b) Coulomb’s theory (c) Haigh theory (d) None

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Under maximum principal stress theory, maximum principal stress is equal to (a) Allowable stress in tension (b) Allowable stress in compression (c) Allowable stress in shear (d) None

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Ellipse of stress is used to find a. Resultant stress on any plane in a bi-axial stress system b. Resultant stress on any plane in a general two dimensional system c. Maximum shear stress d. Location of planes of maximum shear stress

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In a general two dimensional stress system, planes of maximum shear stress are inclined at ___ with principal planes. a. 90 degree b. 180 degree c. 45 degree d. 60 degree

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Principal planes are those planes on which a. Normal stress is maximum b. Normal stress is minimum c. Normal stress is either maximum or minimum d. Shear stress is maximum

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Distortion energy theory is slightly liberal as compared to maximum shear stress theory. a) True b) False

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The region of safety in maximum shear stress theory contains which of the given shape a) Hexagon b) Rectangle c) Square d) None of the mentioned

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Maximum shear stress in terms of principal stresses is a. Firstly (σ 1 +σ 2 )/2 b. Secondly (σ 1 /σ 2 ) c. Thirdly (σ 1 –σ 2 )/2 d. None

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Does a plane of maximum shear stress contain a? (a) Normal stress (b) Bending stress (c) Torsional shear stress (d) None

Description : Does a plane of maximum shear stress contain a? (a) Normal stress (b) Bending stress (c) Torsional shear stress (d) None

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Maximum shear stress is (a) Average sum of principal stresses (b) Average difference of principal stresses (c) Average sum as well as difference of principal stresses (d) None

Description : Maximum shear stress is (a) Average sum of principal stresses (b) Average difference of principal stresses (c) Average sum as well as difference of principal stresses (d) None

Last Answer : (b) Average difference of principal stresses

The bending moment ‘M’ and a torque ‘T’ is applied on a solid circular shaft. If the maximum bending stress equals to maximum shear stress developed, then ‘M’ is equal to (A) T/2 (B) T (C) 2 T (D) 4 T

Description : The bending moment ‘M’ and a torque ‘T’ is applied on a solid circular shaft. If the maximum bending stress equals to maximum shear stress developed, then ‘M’ is equal to (A) T/2 (B) T (C) 2 T (D) 4 T

Last Answer : (A) T/2

Wahl factor to account for direct shear stress and stress concentration due to curvature for helical springs is given by, (A) (4C - 1/4C - 4) + 0.615/C (B) (4C - 1/4C + 4) + 0.615/C (C) (4C + 1/4C - 4) + 0.615/C (D) (4C + 1/4C + 4) + 0.615/C

Description : Wahl factor to account for direct shear stress and stress concentration due to curvature for helical springs is given by, (A) (4C - 1/4C - 4) + 0.615/C (B) (4C - 1/4C + 4) + 0.615/C (C) (4C + 1/4C - 4) + 0.615/C (D) (4C + 1/4C + 4) + 0.615/C

Last Answer : (A) (4C - 1/4C - 4) + 0.615/C

The maximum magnitude of shear stress due to shear force F on a rectangular section of area A at the neutral axis, is (A) F/A (B) F/2A (C) 3F/2A (D) 2F/3A

Description : The maximum magnitude of shear stress due to shear force F on a rectangular section of area A at  the neutral axis, is  (A) F/A (B) F/2A (C) 3F/2A (D) 2F/3A

Last Answer : (C) 3F/2A

Magnitude of shear stress induced in a shaft due to applied torque varies from a. Maximum at centre to zero at circumference. b. Maximum at centre to minimum (not-zero) at circumference. c. Zero at centre to maximum at circumference. d. Minimum (not zero) at centre to maximum at circumference.

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Last Answer : c. Zero at centre to maximum at circumference.

The spokes of the flywheel are subjected to 1. direct shear stress 2. torsional shear stress 3. tensile stress 4. compressive stress

Description : The spokes of the flywheel are subjected to 1. direct shear stress 2. torsional shear stress 3. tensile stress 4. compressive stress

Last Answer : 3. tensile stress

The rim of the flywheel is subjected to, 1. direct tensile stress and bending stress 2. torsional shear stress and bending stress 3. direct shear stress and bending stress 4. compressive stress and bending stress

Description : The rim of the flywheel is subjected to, 1. direct tensile stress and bending stress 2. torsional shear stress and bending stress 3. direct shear stress and bending stress 4. compressive stress and bending stress

Last Answer : 1. direct tensile stress and bending stress

The spokes of the flywheel are subjected to, (A) Direct shear stress (B) Torsional shear stress (C) Tensile stress (D) Compressive stress

Description : The spokes of the flywheel are subjected to, (A) Direct shear stress (B) Torsional shear stress (C) Tensile stress (D) Compressive stress

Last Answer : (C) Tensile stress

The rim of the flywheel is subjected to, (A) Direct tensile stress and bending stress (B) Torsional shear stress and bending stress (C) Direct shear stress and bending stress

Description : The rim of the flywheel is subjected to, (A) Direct tensile stress and bending stress (B) Torsional shear stress and bending stress (C) Direct shear stress and bending stress

Last Answer : (A) Direct tensile stress and bending stress

The leaves of multi-leaf springs are subjected to (A) bending stress (B) shear stress (C) axial stress (D) all of the above

Description : The leaves of multi-leaf springs are subjected to (A) bending stress (B) shear stress (C) axial stress (D) all of the above

Last Answer : (A) bending stress

When the helical torsion spring is subjected to torque, the type of stress induced in the spring wire is, (A) Tensile stress (B) Compressive stress (C) Bending stress (D) Torsional shear stress

Description : When the helical torsion spring is subjected to torque, the type of stress induced in the spring wire is, (A) Tensile stress (B) Compressive stress (C) Bending stress (D) Torsional shear stress

Last Answer : (C) Bending stress

When the helical compression spring is subjected to axial compressive force, the type of stress induced in the spring wire is, (A) Tensile stress (B) Compressive stress (C) Bending stress (D) Torsional shear stress

Description : When the helical compression spring is subjected to axial compressive force, the type of stress induced in the spring wire is, (A) Tensile stress (B) Compressive stress (C) Bending stress (D) Torsional shear stress

Last Answer : (D) Torsional shear stress

When the helical extension spring is subjected to axial tensile force, the type of stress induced in the spring wire is, (A) Tensile stress (B) Compressive stress (C) Bending stress (D) Torsional shear stress

Description : When the helical extension spring is subjected to axial tensile force, the type of stress induced in the spring wire is, (A) Tensile stress (B) Compressive stress (C) Bending stress (D) Torsional shear stress

Last Answer : (D) Torsional shear stress

Parallel fillet welds are under (i) Shear stress (ii)Compressive stress (iii)Tensile stress (iv)None

Description : Parallel fillet welds are under (i) Shear stress (ii)Compressive stress (iii)Tensile stress (iv)None

Last Answer : (i) Shear stress