T.Y. B. Arch. EXAMINATION, 2018
THEORY OF STRUCTURES
Paper III
(2008 PATTERN)
Time Three Hours Maximum Marks 100
N.B. Answer any 3 questions from each section.
(ii Answer should be written in separate answer-books.
(iii Neat diagrams must be drawn wherever necessary.
Figures to the right indicate full marks.
Use of non-programmable calculators and steel tables allowed.
(vi Assume suitable data if necessary.
(vii Use Fe415 steel and M20 grade concrete.
Section-I
1. Write short notes on any four
Shear Key
Conditions of Stability for a Retaining wall
Soil Mechanics—Definition and Applications of the Study
Reasons for eccentricity in a Column and I.S. provisions.
P.T.O.
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Reinforcement detailing of a Central Spine Beam with cantilevering
Treads in a Staircase
Angle of Repose.
2. A rectangular column of size 230 × 650 is subjected to a load of
1350 kN and rests on a soil of S.B.C. of 220 kN/m2.
Design the base of the footing
Find the depth of the Footing and calculate Area of steel in both
directions
Draw a sketch of the reinforcement in plan and section and make
a schedule of the footing
Check for oneway shear. against percentage of steel as
follows
Ast/bd Shear Stress in N/mm2
0.15 0.28
0.25 0.36
0.50 0.48
0.75 0.56
3. Design a R.C.C. doglegged staircase for an office building for the
following data
Width of the flight 1500
Floor to floor height 3400
[5357]-32 3 P.T.O.
Tread 280 mm, Number of treads is 9 in each flight
The staircase is supported on 200 mm wide beams on outer
edges of landings
4. A Retaining wall is proportioned as follows
Retained earth is on the vertical face of the stem.
Density of retained earth 18 kN/m3
Angle of repose 30º
Coefficient of friction 0.6
S.B.C. of soil 250 kN/m2
Density of Concrete 25 kN/m3
Top width of stem 270 mm
Bottom width of stem 510 mm
Height of stem 5200 mm
Width of base 3400 mm
Toe Projection 700 mm
Depth of Base 510 mm
Check the stability of the Retaining wall with respect to sliding
and Over-Turning.
Find Max and Minimum pressure at base.
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Section-II
5. Explain the concept of prestressing. Explain the process of
post Tensioning.
A prestressed concrete beam of overall size 300 × 800 is simply
supported over a span of 7.0 m. The beam carries an udl
of 26 kN/m over its entire span exclusive of its self weight.
The prestressing tendons are located at a distance of 150 from
the neutral axis and provides a prestressing force of 1400 kN.
Calculate the extreme fibre stresses at Mid Span and at End
Span.
6. Two columns of size 250 × 250 and 400 × 400 carry loads
of 800 and 1400 kN respectively and are spaced 1.8 m apart
centre to centre and rest in a soil of S.B.C. of 170 kN/m2.
Find the plan dimensions of the combined footing. Draw a
sketch of the plan.
Write short notes on any two
1. Various Limit States.
2. Ultimate Load Method and its Disadvantages over other
Design philosophies
3. Castellated Girder — Need and Construction
4. Piles — Need and Different Types with their Structural
Action.