Use the load balancing approach. General: Assignment $1$: Analysis and design project of prestressed plank Figure $1$

Groups: Completed individually or paired in a team of your choice. A separate

contribution statement to be signed by all group member and submitted together

with Assignment $1.$ The form is provided in Appendix

Task: Analysis and design of a prestressed concrete plank.

$(1)$ Make reasonable assumptions if needed.

$(2)$ Calculate the ultimate load carrying capacity of the planks.

$(3)$ Determine how much live load $($in kPa$)$ can the planks accommodate as

part of station platform.

$(4)$ Calculate the deflection of the beam under the load arrangement shown.

Refer to project details below.

Details: A new rail station is proposed near Bennett Brook as part of recent rail upgrade

works. Hollow$-$core planks are proposed to support the station platform between

the two beams as shown in Figure $1.$ The proposed station is in near$-$coastal

environment. The precast planks will be steam cured and are formed at the

casting yard using moulds. Design of the proposed planks are to be undertaken

in accordance with AS $5100$ series. Consider the planks to be simply supported

between the two precast beams.Specification:

$-$ The span of each plank is $5000$mm long, the width of each plank is $1197$mm

$-$ Concrete strength of precast beams, f$\text{'}$c $=60$ MPa

$-$ Concrete density $=2500$ kg$/$m$3$

$-$ Concrete strength of precast beams at transfer, f'ci $=50$ MPa

$-$ Prestress strands $9\mathrm{.}3$ mm diameter $($Characteristic min breaking load of

$250$ kN$),$ jacking force to be $70-75\%$ of breaking load $($designer to specify

based on stress checks$)$TYPICAL CROSS SECTION DIMENSIONSUsed