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B3803 Pages: 2

fi ത്തു 311 2kN/m 3kN

Fig. 2

Find the dimensions of the strongest rectangular section that can be cut from a solid
circular log of wood of diameter D.

A beam of rectangular cross section is 5m long. It is simply supported and carries
UDL of 10kN/m over the whole span. If the maximum bending stress is limited to
5N/mm”, find the width and depth of section if depth is twice the width.

An 1- section has equal flanges of 150mm x 20mm and web 250mm x 20mm. Find the
maximum shear stress developed across the depth for shear force of 5010,

A cast iron beam is of T section with thickness of 20mm for flange and web. The
flange width is 150mm and overall depth is 240mm. The beam is simply supported
over a span of 6m and carries uniformly distributed load of 3kN/m over the entire span.
Plot the bending stress distribution diagram.

PART C
Answer any four full questions, each carries 10 marks.

A simply supported beam of span 6m carries ೩ UDL of 2kN/m over the full span and a
concentrated load of 6kN at one third span from left support. Calculate the slope at
supports and deflection at mid span. 181-310“ kN-m?.

A point in a strained material is subjected to a tensile stress of 60MPa and a
compressive stress of 45MPa acting on two mutually perpendicular planes. There is
also a shear stress of 20MPa along these planes. Determine the principal stresses and
maximum shear stress.

The Euler’s stress of a column whose ends are hinged is 40MPa. Calculate the
slenderness ratio of the column, E=2x10° N/mm?

Obtain the expression for Rankine’s crippling load for a column.

Find the crippling load for a hollow steel column 50mm internal diameter and 5mm
thick. The column is 5m long with one end fixed and other end hinged. Use
Rankine’s formula and Rankine’s constant as 1/7500 and oc=335N/mm’.

Explain core of a section and obtain the expression for core of a rectangular section.

A circular column of diameter 250mm carries a vertical load of 60010 at a distance of
30 mm from Y-Y axis. Find the maximum and minimum value of stresses induced in
the sections.

Explain the construction of Mohr’s circle of stresses for a two-dimensional stress
system accompanied by shear stress.

State Moment area theorems to calculate slope and deflection.
111;

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