A simply-supported T-beam is subjected to two pairs of distributed loads: pair 1 (wD1, wL1) and pair 2 (wD2, wL2). The geometric, material and loading properties are all given on the table above. bf=1368mm bw=408mm t=248mm fc'=25.2MPa fy=336MPa d=918mm d'=92mm Lbeam=12.2m wD1=42.2kn/m wL1=50.2kn/m wD2=170.2kn/m wL2=193.3kn/m 1. Solve for the height of the compression stress block using pair 1.  2. Solve for the theoretical steel area using pair 1.  3. Using Es = 0.004, solve for the theoretical steel area using pair 2.  4. Using Es= 0.005, solve for the theoretical steel area using pair 2.

Structural Analysis
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Chapter2: Loads On Structures
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A simply-supported T-beam is subjected to two pairs of distributed loads: pair 1 (wD1, wL1)
and pair 2 (wD2, wL2). The geometric, material and loading properties are all given on the
table above.

bf=1368mm

bw=408mm

t=248mm

fc'=25.2MPa

fy=336MPa

d=918mm

d'=92mm

Lbeam=12.2m

wD1=42.2kn/m

wL1=50.2kn/m

wD2=170.2kn/m

wL2=193.3kn/m
1. Solve for the height of the compression stress block using pair 1. 
2. Solve for the theoretical steel area using pair 1. 
3. Using Es = 0.004, solve for the theoretical steel area using pair 2. 
4. Using Es= 0.005, solve for the theoretical steel area using pair 2.

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