A single riveted lap joint of two similar plates as shown in the figure below has
the following geometrical and material details: **A. ** 7.50

**B. ** 15.00

**C. ** 22.50

**D. ** 30.00

**Answer : ****Option C**

**Explaination / Solution: **

No Explaination.

Width of the plate w=200 mm, thickness of the plate t=5 mm, number of rivets
n=3, diameter of the rivet d_{r} = 10mm, diameter of the rivet hole d_{h} = 11mm, allowable tensile stress of the plate σ_{p} = 200 MPa, allowable shear stress of the
rivet σ_{s} = 100 MPa and allowable bearing stress of the σ_{c} = 150 MPa

If the rivets are to be designed to avoid crushing failure, the maximum
permissible load P in kN is

No Explaination.

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A rod of length L having uniform cross-sectional area A is subjected to a tensile
force P as shown in the figure below. If the Young’s modulus of the material
varies linearly from E_{1} to E_{2} along the length of the rod, the normal stress
developed at the section-SS is

**A. ** P/A(P(E1 - E2)) / (A(E1 + E2))
**B. ** PE2/AE1
**C. ** PE1/AE2
**Answer : ****Option A**

**Explaination / Solution: **

Stress depends on area.

Stress depends on area.

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Consider a laminar flow at zero incidence over a flat plate. The shear stress at the wall is
denoted by τ_{w}. The axial positions x_{1} and x_{2} on the plate are measured from the leading edge
in the direction of flow. If x_{2} > x_{1}, then

**A. **

**B. **

**C. **

**D. **

**Answer : ****Option C**

**Explaination / Solution: **

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Match the approaches given below to perform stated kinematics / dynamics analysis of machine

**A. ** P - 1, Q - 2, R - 3, S - 4

**B. ** P - 3, Q - 4, R - 2, S - 1

**C. ** P - 2, Q - 3, R - 4, S - 1

**D. ** P - 4, Q - 2, R - 1, S - 3

**Answer : ****Option B**

**Explaination / Solution: **

No Explaination.

Analysis Approach

P. Continuous relative rotation 1. D’ Alembert’s principle

Q. Velocity and acceleration 2. Grubler’s criterion

R. Mobility 3. Grashoff’s law

S. Dynamic-static analysis 4. kennedy’s theorem

No Explaination.

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For the stability of a floating body, under the influence of gravity alone, which of
the following is TRUE?

**A. ** Metacentre should be below centre of gravity

**B. ** Metacentre should be above centre of gravity

**C. ** Metacentre and centre of gravity must lie on the same horizontal line

**D. ** Metacentre and centre of gravity must lie on the same vertical line

**Answer : ****Option B**

**Explaination / Solution: **

No Explaination.

No Explaination.

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The principal stresses at a point inside a solid object are σ_{1} =
100 MPa, σ_{2} = 100 MPa and σ_{3} = 0MPa. The yield strength of the
material is 200 MPa. The factor of safety calculated using Tresca
(maximum shear stress) theory is n_{T} and the factor of safety
calculated using von Mises (maximum distortional energy) theory is
n_{V}. Which one of the following relations is TRUE?

**A. ** nT = (√3/2)nV
**B. ** nT = (√3)nV

**C. ** nT = nV

**D. ** nV = (√3)nT

**Answer : ****Option A**

**Explaination / Solution: **

No Explaination.

No Explaination.

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A long thin walled cylindrical shell, closed at both ends, is subjected to an internal pressure. The ratio of the hoop stress (circumferential stress) to longitudinal stress developed in the shell is

**A. ** 0.5

**B. ** 1.0

**C. ** 2.0

**D. ** 4.0

**Answer : ****Option C**

**Explaination / Solution: **

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A pinion with radius r_{1}, and inertia I_{1} is driving a gear with radius r_{2} and inertia I_{2}. Torque τ_{1} is applied on pinion. The following are free body diagrams of pinion and gear showing
important forces (F_{1} and F_{2}) of interaction. Which of the following relations hold true?

**A. **

**B. **

**C. **

**D. **

**Answer : ****Option D**

**Explaination / Solution: **

F_{1} = F_{2} [Vertical equilibrium]

F

For Gear 1 For Gear 2

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For an opaque surface, the absorptivity (α), transmissivity (τ) and reflectivity (ρ) are related by
the equation:

**A. ** α + ρ = τ

**B. ** α + ρ = 1

**C. ** α + ρ + τ = 0

**D. ** α + ρ = 0

**Answer : ****Option B**

**Explaination / Solution: **

No Explaination.

No Explaination.

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A solid cylinder of diameter 100 mm and height 50 mm is forged between two frictionless flat
dies to a height of 25 mm. The percentage change in diameter is

**A. ** 0

**B. ** 2.07

**C. ** 20.7

**D. ** 41.4

**Answer : ****Option D**

**Explaination / Solution: **

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**Preparation Study Material**- Materials Science (Study/Preparation)
- Engineering Mechanics (Study/Preparation)
- Strength of Materials (Study/Preparation)
- Engineering Thermodynamics (Study/Preparation)
- Fluid Mechanics and Machinery (Study/Preparation)
- Manufacturing Technology I (Study/Preparation)
- Electrical Drives and Controls (Study/Preparation)
- Kinematics of Machinery (Study/Preparation)
- Manufacturing Technology II (Study/Preparation)
- Power-Plant Engineering (Study/Preparation)
- Engineering Materials and Metallurgy (Study/Preparation)
- Thermal Engineering (Study/Preparation)