1(A)
A new fiber-optic cable was laid under the Pacific ocean from Califormia to Japan, a distance of 13,300 km. The cable was unreeled (unwound) from shipboard at a mean tempreature of 22°C & dropped in to the ocean. Ocean had a mean tempreature of 5°C. The coefficient of linear expansion of the cable is 75×10

^{-6}C. Determine the length of the cable that must be carried on the ship to span the 13,300 km.
4 M

1(B)
A Tensile Test on a Mild Steel specimen 44 mm in diameter & 200 mm long was conducted & it was observed that: Elongation with 55 kN load (within imit of proportionalty) was 0.04 mm; Yield load= 180 k.N, Calcuate Young's Modulus & Yield Point Stress.

4 M

1(C)
Choose & write the correct option.

i) When both the ends of a column are fixed, the Eluer's crippling load is F. If one end of the column is made free, then the value of crippling load will change to:

a) F/4

b) F/2

c) F/6

d) 4F

ii) Two people, each weighing (W), are sitting on a plank of length (L) flaoting on water, at (L/4) from other end. The water exerts an upward UDL of (2W/L) on the plank. Neglecting the self weight of the plank, the bending moment at the centre of the plank is:

a) WL/8

b) WL/16

c) WL/32

d) Zero

iii) The ratio of final length of initial length of a member is called:

a) Linear strain

b) Stress

c) Young's modulus

d) None of these

iv) A soild circular shaft is to transmit a power (P) kW, at (N) revolutions per minute. For a given maximum shear stress, the shaft diameter will be proportional to:

a) (P/N)

b) P/N

c) (P/N)

d) (P/N)

i) When both the ends of a column are fixed, the Eluer's crippling load is F. If one end of the column is made free, then the value of crippling load will change to:

a) F/4

b) F/2

c) F/6

d) 4F

ii) Two people, each weighing (W), are sitting on a plank of length (L) flaoting on water, at (L/4) from other end. The water exerts an upward UDL of (2W/L) on the plank. Neglecting the self weight of the plank, the bending moment at the centre of the plank is:

a) WL/8

b) WL/16

c) WL/32

d) Zero

iii) The ratio of final length of initial length of a member is called:

a) Linear strain

b) Stress

c) Young's modulus

d) None of these

iv) A soild circular shaft is to transmit a power (P) kW, at (N) revolutions per minute. For a given maximum shear stress, the shaft diameter will be proportional to:

a) (P/N)

^{fraction1and3}b) P/N

c) (P/N)

^{fraction2and3}d) (P/N)

^{3}
4 M

1(D)
Calculate & locate the Core or Kernel of a T-Section of flange dimensions (20mm×100mm) & web dimensions(120mm×25mm).

4 M

1(F)
State the assumptions of Pure Bending Theory.

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2(A)
A hollow shaft of diameter ratio(3/8) is required to transmit 635 kW at 120 RPM, the maximum torque being 21% greater than the mean. The shear stress is not to exceed 66 MN/m

^{2}& the twist in a length of 3 m not to exceed 1.5 degrees. Calculate the maximum external diameter which would satisfy both the conditions. Take modulus of rigidity=87GN/m^{2}.
8 M

2(B)
The principal stresses at a point across two prependicular planes are shown in fig.1. Find the normal stress, tangential stress & the resultant stress & its obliquity on a plane at 23° with major pricncipal plane. Use analytical as well as graphical method.

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8 M

2(C)
An object of 140 N weight falls by gravity, a vertical distance of 5m,when it is suddenly stopped by a collar at the end of a vertical road of length 10 m & diameter 20 mm. The bar top rigidly fixed. Calculate the maximum stress & strain induced in the bar due to impact. Take E = 200 GN/m

^{2}for the rod material.
4 M

3(A)
A load of 120kN is carried by a hollow column made of cast-iron. The external diameter is 240 mm & the internal diameter is 200 mm. If the eccentricity of the load is 45mm, find:

i) The maximum & minimum stress intensities.

ii) Up to what eccentricity, there is no tensile stress in the column?

i) The maximum & minimum stress intensities.

ii) Up to what eccentricity, there is no tensile stress in the column?

8 M

3(B)
When is the shell called as thin shell? A cylindrical shell 1 m long & 225 mm internal diameter having 8 mm metal thickness is filled with fluid at atmospheric pressure. If an additional 24 cm

^{3}of fluid is pumped in to the cylinder find the pressure exerted by the fluid on the cylinder & the hoop stress induced.
8 M

3(C)
The chair is supported by an arm that is hinged so that it rotates about the vertical axis at A. If the load on the chair is 800 N & the arm is the hollow tube section having the dimensions shown in fig.2, determine the maximum bending stress at section a-a.

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4 M

4(A)
The Beam (fig.3) is subjected to the loading shown. Draw the Shear Force & Bending Moment Diagrams for the beam.

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8 M

4(B)
A hollow cast iron column has both the ends fixed . Column length is 6 m, external diameter is 200 mm. It carries a safe axial load of 510kN. The factor of safety is 6. Take ultimate compressive stress as 575 MN/m

^{2}& Rankine's constant as (1/1600). Determine the thickness of the column.
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4(C)
For a given material, Young's modulus is 138 GN/m

^{2}& shear modulus is 46 GN/m^{2}. Find the bulk modulus.
4 M

5(A)
A simply supported beam carries a UDL of 6 kN/m over the entire span of 6m. The cross-section of the beam is a T-section having a flange of (150mm×20mm) & a web of (30mm×180mm). The overall depth is 200 mm. Calculate the maximum shear stress & draw the Shear Stress Distribution Diagram.

8 M

5(B)
A simply supported I-section steel beam (Fig.4) has cross-sectional area shown. If w = 9kN/m, determine the absolute maximum bending stress in the beam.

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8 M

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