C1V4506 - Concrete Structures Assignment

Assignment Task

Aim

This assignment allows you demonstrate your understanding of the various concepts and processes covered in Topics 9 to 14 and particularly the design of two-way slabs, columns, and prestressed concrete members following the provisions in AS3600-2018.

Important Notes

It is important that you go through all lectures, tutorials, and formative quizzes relating to the design of slabs, columns and prestressed beams. Students found these tools to be very effective in answering the Assignment. As part of this Assignment, you will receive up to 15 marks by providing evidence of completing these learning tools.

Task

1. wo-way RC Slab Design

An internal 2™ level floor system of an industrial building (subjected to repeated wetting and drying) is composed of a slab cast monolithically with stiff beams 300 mm wide whose centrelines are on the grid shown in Figure 1, Reinforced concrete density is 24 kN/m?. Note the following specified conditions of service.

i) Determine the appropriate reinforcement cover to satisfy durability and 120- minute fire resistance requirements.

ii)  Determine the minimum slab thickness to satisfy total and incremental deflections.

iii) Design the reinforcement for the most critical slab (Use N12 bars throughout).

2. Beam Column Section

A square column symmetrically reinforced with 12 - N24 bars is shown in Figure 2.a. Determine the following:

i) Squash load @Nio

ii) Ny, and gM, about the major axis for the neutral axis depth (d,) values of do, 0.85, 0.545d,, 0.4d,, and 0.2d>, where dp is the distance from the top concrete fibre in compression to the centroid of the bottom reinforcement in tension.

iii) Use the values obtained in (ii) to develop the beam column interaction (¢\/4, and ¢N,,) diagram for the column.

iv) If the column is braced, has a length, Z (Figure 2.b), and is required to carry N” = 0.50¢Nye KN, what is the value of M2 that could be carried by the column considering the slenderness effect? Assume that G/(G+Q) = 0.30.

v) Check if the column is adequate to carry N*= 0.60¢Nuo KN and bending moments, ic. M*,=M*) of 0.5¢Mw in both directions. If the column is inadequate for bi-axial bending and axial compression, suggest at least 3 ways on how this issue can be rectified.

vi) Design the lateral reinforcement (ties) for this column.

3. Prestressed Beam 

A prestressed concrete beam is simply supported over a span of £ shown in Figure 3(a) and has the cross section at mid span as shown in Figure 3.b. Determine the following:

1. Maximum initial prestress at transfer that can be applied at the mid span to satisfy the code requirement (Assume /’cp as 0.80f"-)

2. Minimum effective prestress required at the mid span when the beam is fully
loaded at service.

3. From (i) and (ii), the optimum initial prestress [Pj] that can be applied at the mid span. Assume total loss as 12%.

a) The jacking force at the end of the beam assuming that prestressing is applied from both ends and the friction force between mid span and end is 6%.

b) Required number of 12.7 mm diameter 7-wire ordinary strands to effectively apply the required jacking force.

4. Determine the ultimate moment capacity of this beam and identify whether it satisfies the strength requirement. At the limit state strength condition, the beam should satisfy the requirement M* < @My (where M* is calculated for the strength limit state load 1.2g + 1.5q). 4 =48 Kal [aA g71S ot Kana

5. If the beam was accidentally lifted off at the middle using a vertical lifting sling just after prestressing, determine the stresses at the top and bottom of the beam at the lifting point. Comment whether the lifting operation will cause any damage to the beam.

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