# Applied Mechanics and Design [GATE (Graduate Aptitude Test in Engineering) Mechanical Engineering]: Questions 68 - 71 of 82

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## Question 68

Appeared in Year: *2019*

### Question

MCQ▾A plane-strain compression (forging) of a block is shown in the figure. The strain in the z-direction is zero. The yield strength in uniaxial tension/compression of the material of the block is 300 MPa and it follows the Tresca (maximum shear stress) criterion. Assume that the entire block has started yielding. At a point where MPa (compressive) and , the stress component is

### Choices

Choice (4) | Response | |
---|---|---|

a. | 260 MPa (compressive) | |

b. | 340 MPa (compressive) | |

c. | 340 MPa (tensile) | |

d. | 260 MPa (tensile) |

## Question 69

Appeared in Year: *2020*

### Question

MCQ▾The equation of motion of a spring-mass-damper system is given by . The damping factor for the system is

### Choices

Choice (4) | Response | |
---|---|---|

a. | 2 | |

b. | 0.5 | |

c. | 3 | |

d. | 0.25 |

## Question 70

Appeared in Year: *2019*

### Question

Numeric Answer▾A truss is composed of members AB, BC, CD, AD and BD, as shown in the figure. A vertical load of 10 kN is applied at point D. The magnitude of force (in kN) in the member BC is ________

## Question 71

Appeared in Year: *2019*

### Question

Numeric Answer▾In a UTM experiment, a sample of length 100 mm, was loaded in tension until failure. The failure load was 40 kN. The displacement, measured using the cross-head motion, at failure, was 15 mm. The compliance of the UTM is constant and is given by m/N. The strain at failure in the sample is ________ % .