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00000CE201121901

PART ‏تا‎

Answer any two full questions, each carries 15 marks.
A 10 m long simply supported beam carries two point loads of 10 and 61% at
2m and 9m respectively from the left end. It also carries a uniformly distributed
load of 4kN/m run for the length between 4m to 7m from the left end. Draw
shears force and bending moment diagrams. State the position and magnitude of
maximum bending moment.
What are the assumptions in theory of simple bending?
A cantilever beam of span L, fixed at the left end, carries a gradually varied load
from zero at free end to w per m length at fixed end. Draw the SFD and BMD.
A 225mm x 100mm I beam is simply supported over a span of 12m. The web
thickness is 7.5mm and flange thickness is 11.5mm. If the maximum
permissible stress is 80N/mm’, what concentrated load can be carried at a
distance of 4m from the support?
Define a)point of contra flexure b)Moment of resistance
A cast iron tee section having overall depth 150mm with flange width and
thickness as 100mm and 30mm respectively is used as a cantilever bracket of
length 300mm. Web thickness is 30mm. If the tensile stress is restricted to
201/1172, calculate the point load that can be placed at the free end of bracket.
Also calculate the compressive stress developed.
State the governing relation to find the shear stress in beams. Sketch the shear
stress distribution across depth in a)rectangular section b)I section

PART C

Answer any two full questions, each carries 20 marks.
Derive an expression for the shear stress produced in a circular shaft which is
subjected to torsion. State the assumptions made in derivation.
An elemental cube is subjected to tensile stresses of 30N/mm? and 151/1117
acting on two mutually perpendicular planes and a shear stress of 25N/mm? on
these planes. Determine magnitude and directions of principal stresses. Also
calculate greatest shear stress and its planes.
Differentiate between closed coiled and open coiled helical springs.
Show that in thin cylinders, the circumferential stress is twice the longitudinal

stress when subjected to internal pressure.

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