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PART - ^
Answer any four full questions.
A beam of length 6m is simply supported at its ends and carries two point loads of 48kN
and 40kN at a distance of 1m and 3m respectively from the left support. Find the
deflection under each load and the maximum deflection by Macaulay’s method. Given

E= 25105 N/mm? and I= 85x106 mm‘. (10)

State of stress at a point in a material is 1OON/mm/ (tensile) upon a horizontal plane and

50N/mm? (compressive) upon a vertical plane. These planes also carry a shear stress of
7510/0707 as shown in fig. Determine principal stresses, maximum shear stress, plane of
maximum shear stress and the resultant stress on the plane of maximum shear stress.

(10)

1 100 N/mm?
75 N/mm?

50 /mm’50 N/mm?

100 N/mm?

Explain double integration method to find the deflection of a cantilever beam with a
point load at the free end (10)
Derive Euler’s buckling load for slender columns with ends hinged (10)
A 1.5m long column has a circular cross section of 500% diameter. One of the ends of the
column is fixed in direction and position and other end is free. Taking factor of safety as
3, calculate the safe load using Rankin’s formula, take yield stress as 560 N/mm” and ०
= 1/1600 for pinned ends (10)

Explain the terms:

Principal planes and principal stresses (5)
Mohr’s circle of stresses (2)
Strain rosettes (3)

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