The relationship between the alternating stress and mean stress is given by the following equation: σ a =σ e [1-(σ m /σ u )x], where σ e is the fatigue limit for completely reversed loading. The value of x for Gerber line is equal to _________ a) 1 b) 2 c) 0.5 d) -1

The relationship between the alternating stress and mean stress is given by the following

equation:

σ a =σ e [1-(σ m /σ u )x], where σ e is the fatigue limit for completely reversed loading.

The value of x for Gerber line is equal to _________

a) 1

b) 2

c) 0.5

d) -1
by

1 Answer

Answer :

b) 2
by

Related questions

The relationship between the alternating stress and mean stress is given by the following equation: σ a = σ e [1-(σ m /σ u ) x ]. The value of x for Goodman line is equal to _________ a) 1 b) 2 c) 0.5 d) -1

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Last Answer : a) 1

The endurance or fatigue limit is defined as the maximum value of the stress which a polished standard specimen can withstand without failure, for infinite number of cycles, when subjected to (a) static load (b) dynamic load (c) static as well as dynamic load (d) completely reversed load

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Last Answer : (d) completely reversed load

Line joining S yt (yield strength of the material) on mean stress axis and S e (endurance limit of the component) on stress amplitude axis is called as _____ a. Goodman line b. Soderberg line c. Gerber line d. None of the above

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Last Answer : b. Soderberg line

Factor of safety for fatigue loading is the ratio of (a) elastic limit to the working stress (b) Young's modulus to the ultimate tensile strength (c) endurance limit to the working stress (d) elastic limit to the yield point

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Last Answer : (c) endurance limit to the working stress

If the mean stress value for a sinusoidal stress function is zero, then this type of stress falls in which category? a) Fluctuating Stresses b) Alternating Stresses c) Repeated Stresses d) Reversed Stresses

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When a material is subjected to fatigue loading, the ratio of the endurance limit to the ultimate tensile strength is (a) 0.20 (b) 0.35 (c) 0.50 (d) 0.65

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Last Answer : (c) 0.50

The stress represented by cos (t) belongs to which category? a) Fluctuating Stresses b) Alternating Stresses c) Repeated Stresses d) Reversed Stresses

Description : The stress represented by cos (t) belongs to which category? a) Fluctuating Stresses b) Alternating Stresses c) Repeated Stresses d) Reversed Stresses

Last Answer : d) Reversed Stresses

The stress represented by sin (t) + 4 belongs to which category? a) Alternating Stresses b) None of the mentioned c) Repeated Stresses d) Reversed Stresses

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The stress represented by sin (t) + 1 belongs to which category? a) Fluctuating Stresses b) Alternating stresses c) Repeated Stresses d) Reversed Stresses

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Last Answer : c) Repeated Stresses

Which of the following conditions is true for repeated stress? 1. σ m = 0 2. σ m = σ max / 2 3. σ m = σ a 4. σ min = 0 5. σ min = – σ max 6. σ a = σ max / 2 where σ m = mean stress and σ a = stress amplitude a. condition 2 and 3 b. condition 1, 3 and 5 c. condition 2, 4, and 6 d. condition 3,4, 5 and 6

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Last Answer : c. condition 2, 4, and 6

The maximum tangential stress σ t = (σ x sin 2θ)/2 is maximum if, θ is equal to ________ a. 45 o b. 90 o c. 270 o d. all of the above

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Last Answer : a. 45 o

Notch sensitivity (q) is given by the equation _______ where K f = fatigue stress concentration factor and K t = theoretical stress concentration factor a. ( K f + 1 ) / ( K t – 1 ) b. ( K f – 1 ) / ( K t – 1 ) c. ( K f + 1 ) / ( K t + 1 ) d. ( K f - 1 ) / ( K t + 1 )

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Last Answer : b. ( K f – 1 ) / ( K t – 1 )

To predict failure in design components which failure criteria is not assumed, when mean stress and stress amplitude are nonzero? a. Goodman criterion b. Soderberg criteria c. Gerber criteria d. None of the above

Description : To predict failure in design components which failure criteria is not assumed, when mean stress and stress amplitude are nonzero? a. Goodman criterion b. Soderberg criteria c. Gerber criteria d. None of the above

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Under complex loading, principal stresses exist as (a) Firstly σ 1 > σ 2 =σ 3 (b) Secondly σ 1 = σ 2 =σ 3 (c) Thirdly σ 1 > σ 2 < σ 3 (d) None

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What will happen if stresses induced due to surge in the spring exceeds the endurance limit stress of the spring. a) Fatigue Failure b) Fracture c) None of the listed d) Nipping

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Last Answer : a) Fatigue Failure

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 Principal stress theory (d) None

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Last Answer : (c) Thirdly Maximum Principal stress theory

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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Last Answer : (d) None

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

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

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Calculate fatigue stress concentration factor, when theoretical stress concentration factor is 1.62 and notch sensitivity is equal to 0.9 a. 1.558 b. 3.358 c. 1.162 d. None of the above

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The stress which vary from a minimum value to a maximum value of the same nature (i.e. tensile or compressive) is called (a) repeated stress (b) yield stress (c) fluctuating stress (d) alternating stress

Description : The stress which vary from a minimum value to a maximum value of the same nature (i.e. tensile or compressive) is called (a) repeated stress (b) yield stress (c) fluctuating stress (d) alternating stress

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The yield point in static loading is ............... as compared to fatigue loading. (a) higher (b) lower (c) same

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The ability of materials to develop a characteristic behavior under repeated loading known as ___________ a) Toughness b) Resilience c) Hardness d) Fatigue

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The test data for Notched specimen fall near the ________________ line. a) Soderberg line b) Goodman Line c) Gerber line d) Haig line

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In the Haig-Soderberg diagram, the test data for ductile material falls near the ______________ a) Soderberg line b) Goodman Line c) Gerber line d) Haig line

Description : In the Haig-Soderberg diagram, the test data for ductile material falls near the ______________ a) Soderberg line b) Goodman Line c) Gerber line d) Haig line

Last Answer : c) Gerber line

Pick out the wrong statement. (A) Cold cracking of a weld is due to the presence of hydrogen gas in the weld (B) True stress is given by, σ = σE (1 + εE), where σE and εE are engineering stress and engineering strain respectively (C) Phosphorous can be easily recovered in the iron blast furnace (D) High residual stress at the surface is beneficial for fatigue properties of a material

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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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Last Answer : c. Thirdly (σ 1 –σ 2 )/2

Which is the maximum principal stress? a. Firstly σ 2 b. Secondly σ 3 c. Thirdly σ 1 d. None

Description : Which is the maximum principal stress? a. Firstly σ 2 b. Secondly σ 3 c. Thirdly σ 1 d. None

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Which of the following equations is correct for Soderberg Criteria? a. (σ m / S ut ) + (σ a / S e ) = (1 / N f ) b. (σ m / S ut ) - (σ a / S e ) = (1 / N f ) c. (σ m / S yt ) + (σ a / S e ) = (1 / N f ) d. (σ m / S ut ) - (σ a / S e ) = (1 / N f )

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Last Answer : c. (σ m / S yt ) + (σ a / S e ) = (1 / N f )

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 ]

The resistance to fatigue of a material is measured by (a) elastic limit (b) Young's modulus (c) ultimate tensile strength (d) endurance limit

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Failure of a material is called fatigue when it fails (a) at the elastic limit (b) below the elastic limit (c) at the yield point (d) below the yield point

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The stress represented by sin (t) + 2 belongs to which category? a) Fluctuating Stresses b) None of the mentioned c) Repeated Stresses d) Reversed Stresses

Description : The stress represented by sin (t) + 2 belongs to which category? a) Fluctuating Stresses b) None of the mentioned c) Repeated Stresses d) Reversed Stresses

Last Answer : a) Fluctuating Stresses

In S-N diagram, the graph plotted between fatigue strength and number of stress cycles becomes horizontal for which type of materials? a. Ferrous materials b. Non-ferrous materials c. Both a. and b. d. None of the above

Description : In S-N diagram, the graph plotted between fatigue strength and number of stress cycles becomes horizontal for which type of materials? a. Ferrous materials b. Non-ferrous materials c. Both a. and b. d. None of the above

Last Answer : a. Ferrous materials

Deformation that occurs due to stress over a period of time is known as ____________ a) Wear resistance b) Fatigue c) Creep d) Fracture

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The notch sensitivity q is expressed in terms of fatigue stress concentration factor Kf and theoretical stress concentration factor Kt as (A) (Kf + 1)/ (Kt + 1) (B) (Kf - 1)/ (Kt - 1) (C) (Kt + 1)/ (Kf + 1) (D) (Kt - 1)/ (Kf - 1)

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Last Answer : (B) (Kf - 1)/ (Kt - 1)

The equations for principal stresses are valid only when (a)σ x and σ y are both tensile (b) σ x is compressive and σ y is tensile (c) σ x is tensile and σ y is compressive (d) None

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Last Answer : (a)σ x and σ y are both tensile

In a body under hydrostatic pressure, the case exists (a) Firstly σ 1 > σ 2 =σ 3 (b) Secondly σ 1 = σ 2 =σ 3 (c) Thirdly σ 1 > σ 2 < σ 3 (d) None

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Last Answer : (b) Secondly σ 1 = σ 2 =σ 3

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

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

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

The order of magnitude of the principal stresses is a. Firstly σ 1 >σ 2 >σ 3 b. Secondly σ 2 >σ 3 >σ 1 c. Thirdly σ 1 >σ 3 >σ 2 d. None

Description : The order of magnitude of the principal stresses is a. Firstly σ 1 >σ 2 >σ 3 b. Secondly σ 2 >σ 3 >σ 1 c. Thirdly σ 1 >σ 3 >σ 2 d. None

Last Answer : a. Firstly σ 1 >σ 2 >σ 3

Mohr’s stress circle is named so because it has equation of the form a. x^2 + y^2 = r^2 b. (x-a)^2 + y^2 = r^2 c. (x-a)^2 + (y-b)^2 = r^2 d. It was desired by German Engineer Otto Mohr

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Last Answer : b. (x-a)^2 + y^2 = r^2

The property of the bearing material to yield and adopt its shape to that of journal is called (A) Embeddability (B) Conformability (C) Viscosity (D) Endurance limit stress

Description : The property of the bearing material to yield and adopt its shape to that of journal is called (A) Embeddability (B) Conformability (C) Viscosity (D) Endurance limit stress

Last Answer : (B) Conformability

The property of the bearing material to allow the dust and abrasive particles to get absorbed on the surface of the lining is called (A) Embeddability (B) Conformability (C) Viscosity (D) Endurance limit stress

Description : The property of the bearing material to allow the dust and abrasive particles to get absorbed on the surface of the lining is called (A) Embeddability (B) Conformability (C) Viscosity (D) Endurance limit stress

Last Answer : (A) Embeddability

The connecting rod bolts are tightened up so that the initial tightening stress (A) Approaches yield point (B) Approaches endurance limit (C) Approaches (yield point stress/factor of safety) (D) Approaches (endurance limit stress/factor of safety)

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Last Answer : (A) Approaches yield point

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

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Last Answer : (A) T/2

If a circular shaft is welded to the plate by means of circumferential fillet, then the shaft is subjected to torsional moment M. If throat of weld is t, then torsional shear stress is given by a) M/2πtr2 b) M/πtr2 c) M/4πtr2 d) None of the listed

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Last Answer : a) M/2πtr2

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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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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The elastic stress strain behavior of rubber is A. Linear B. Nonlinear C. Plastic D. No fixed relationship

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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