48353 Concrete Design Assignment - Engineering - UTS

Assignment Task

Problem

A singly reinforced cantilever beam in the figure below is a part of maritime structures permanently submerged in sea water. The beam carries a triangular live load q and a triangular superimposed dead load g (in addition to its self-weight) as shown in the figure. The beam also carries an imposed live load of 50 kN at the end of the beam. The width and total depth of the beam are 350 mm and 650 mm, respectively. The effective span length (L) is 5.0 m. The reinforcement is composed of normal class steel bars (Es = 200000 MPa; fsy = 500 MPa). The specific gravity of the concrete is 25 kN/m3 , N32 steel bars are to be used as tensile reinforcement and R10 stirrups are to be used for shear reinforcement.

Ultimate Limit State

1) Calculate the effective depth of the beam which satisfies the durability requirement as per AS 3600. Also calculate the Modulus of Elasticity of Concrete.

2) Calculate the maximum design bending moment at Ultimate Mu*.

3) Calculate the tension reinforcement needed and carry out the design check.

4) Calculate the spacing between the reinforcement bars and comment if single or double layer of reinforcement is needed. Also, draw the cross-section of the beam clearly showing all the dimensions, tension reinforcement (number of bars with spacing) and stirrups.

5) Calculate the tension reinforcement if the beam has to have a balanced failure. Also carry out the design check.

Serviceability Limit State

6) Calculate the maximum total deflection using the simplified calculation and using equation 8.5.3.1(1). Also check if the total deflection complies with AS3600 limit of Span/250. It is known that the total shrinkage is 500 µꞓ and consider only single layer of tension reinforcement irrespective of your answer in part (4) above.

7) Calculate the maximum total deflection using the simplified calculation and using equation 8.5.3.1(2) or 8.5.3.1(3). Consider single layer of tension reinforcement. Compare the value with the one calculated in part 6 above.

The deflection of the beam at Point B can be calculated as:

∆= Wl 4 / 30 EI (if w is the triangular load as shown in the figure above)

∆ =PL 3 / 3EL (if p is the point load at the end of the beam as shown in the figure above)

∆ = W l 4 / 8 EI ( if w is  the uniformly disrtibuted load)

This Engineering has been solved by our PhD Experts at My Uni Paper.