Download AKTU B-Tech 4th Sem 2014-15 Database Management Systems Question Paper

Code: 20A03301

B.Tech II Year I Semester (R20) Regular Examinations November 2021

STRENGTH OF MATERIALS – I

(Civil Engineering)

Time: 3 Hours

Max. Marks: 75

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Answer ALL Questions

All Questions Carry Equal Marks

1. a) Define: Elasticity, stress, strain, Hooke’s law, Poisson’s ratio, stress-strain diagram for mild steel.

   b) A steel rod of 3cm diameter is enclosed centrally in a hollow copper tube of external diameter 5cm and internal diameter 4cm. The composite bar is then subjected to an axial pull of 45000 N. If the length of each bar is equal to 15cm, determine:

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   1. The stresses in the rod and tube.
   2. Load carried by each bar. Take E for steel = 2.1 x 10⁵ N/mm² and for copper = 1.1 x 10⁵ N/mm².

   OR

   A steel bar 50mm wide and 12mm thick is subjected to an axial pull of 60kN. The length of the bar is 2m. If E = 200 GN/m² and µ = 0.3, determine:

   1. The change in length.

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   2. The change in width.
   3. The change in thickness.
   4. The change in volume of the bar.



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2. a) Derive the relationship between shear force and bending moment.

   b) A simply supported beam of length 6m, carries a uniformly distributed load of 2 kN/m over the entire length and a point load of 4 kN at a distance of 2m from the right support. Draw the shear force and bending moment diagrams for the beam.

   OR

   A cantilever of length 2m carries a uniformly distributed load of 2.5 kN/m run over the whole length and a point load of 1 kN at a distance of 1m from the free end. Draw the shear force and bending moment diagrams for the cantilever.

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3. a) What do you mean by ‘simple bending’? What are the assumptions made in the theory of simple bending?

   b) A timber beam of rectangular section is to support a load of 20 kN uniformly distributed over a span of 3.6m when the beam is simply supported. If the depth of section is to be twice the breadth, and the stress in the timber is not to exceed 7 N/mm², find the dimensions of the cross-section of the beam.

   OR

   A cast iron beam is of T-section with a top flange of 80 mm x 20 mm, web 120 mm x 20 mm and bottom flange 160 mm x 40 mm. If the tensile stress is not to exceed 30 N/mm² and compressive stress is not to exceed 90 N/mm², what is the maximum uniformly distributed load the beam can carry over a simply supported span of 6 m? Also draw the stress distribution across the section.

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4. Derive the shear stress distribution formula for a rectangular section.

   OR

   A rolled steel joist 350 mm x 150 mm has flanges 11 mm thick and web 8 mm thick. Find the proportion in which the flanges and web resists the shear force.

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5. A hollow shaft is required to transmit 80 kW at 160 r.p.m. The maximum torque may be 40% greater than the mean torque. The shear stress is not to exceed 60 MPa and the angle of twist in a length of 3m is not to exceed 1.4^o. Find the suitable diameters for the shaft if the external diameter is twice the internal diameter. Take G = 84 GPa.

   OR

   A solid shaft of 200 mm diameter has the same cross-sectional area as a hollow shaft of the same material with inside diameter of 150 mm. Find the ratio of the torque transmitted by the two shafts for the same allowable shear stress.

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