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R3905 Pages: 2

of 10 KN. The beam is of I-Section. The dimensions of I section are: top flange
200 mm x 50 mm, Web 200 mm x 50 mm, Bottom flange 130 mm x 50 mm.
Determine the maximum bending stress.
Draw the shear stress distribution diagram for an symmetrical I-section (10) subjected to
shear force of 40 kKN.The dimensions of I-section are : Top flange :
80 mm x 20 mm, web 200 mm x 20 mm, bottom flange 80 mm x 20 mm
PARTC

Answer any four full questions, each carries 10 marks.
A simply supported beam of span 9 m carries a uniformly distributed load 20 (10) kN/m
as shown in fig 1. Determine deflection of beam at midpoint of beam and also maximum
deflection. Take flexural rigidity = 10 x 10100 ‏خر‎

20 kN/m

(11111

[on {sn +~ | m Sm 2m
Fig:1

A Simply supported beam of length 6 m carries a point load of 1OKN at a (10) distance
of 2 m from the right support. Determine slope at left support and deflection under point
load using conjugate beam method. Take E ಎ2 x 10° N/mm? and Moment of Inertia = 2
x 105 ‏صم‎

In an elastic material, at a certain point, on planes at right angles to one another, (10)
direct stresses of 130 N/mm‘? tensile and 110 N/mm? compressive are acting. The major
principal stress in the material is to be limited to 150 N/mm_2. To what shearing stress the
material may be subjected on the given planes. Also find the minimum principal stress
and the maximum shearing stress at that point

Derive an equation for Euler’s crippling load for a column whose both ends are (10)
fixed

A shear force of 40 kN and a bending moment of 20 kN-m act at a certain cross (10)
section of rectangular beam 100 mm wide and 200 mm deep. Find the principal stresses
at a point 20 mm below the top surface

A hollow cast iron column has 200mm outside diameter, 150mm inner (10) diameter and
is 6m long. Both ends of the column are pinned. Using Rankine’s formula, calculate
the crippling load on the column. Take o-=550N/mm” and Rankine’s constant as 1/1600.
Compare load by Euler’s formula E = 110GPa

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