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A simply-supported T-beam is subjected to two pairs of distributed loads: pair 1 (??1, ??1) and pair 2 (??2, ??2). The geometric, material and loading properties are all given. bf = 1326mm bw = 425mm t = 268mm Lbeam = 13.4m WD1 = 54 kN/m WD2 = 152 kN/m WL1 = 53.4 kN/m WL2 = 181.7 kN/m fc' = 22.8 MPa fy = 179.9 MPa d = 879mm d' = 98mm 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 ?? = 0.004, solve for the theoretical steel area using pair 2.  4. Using ?? = 0.005, solve for the theoretical steel area using pair 2.

A simply-supported T-beam is subjected to two pairs of distributed loads: pair 1 (??1, ??1) and pair 2 (??2, ??2). The geometric, material and loading properties are all given. bf = 1326mm bw = 425mm t = 268mm Lbeam = 13.4m WD1 = 54 kN/m WD2 = 152 kN/m WL1 = 53.4 kN/m WL2 = 181.7 kN/m fc' = 22.8 MPa fy = 179.9 MPa d = 879mm d' = 98mm 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 ?? = 0.004, solve for the theoretical steel area using pair 2.  4. Using ?? = 0.005, solve for the theoretical steel area using pair 2.

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A simply-supported T-beam is subjected to two pairs of distributed loads: pair 1 (??1, ??1) and pair 2 (??2, ??2). The geometric, material and loading properties are all given.

bf = 1326mm
bw = 425mm
t = 268mm
Lbeam = 13.4m
WD1 = 54 kN/m
WD2 = 152 kN/m
WL1 = 53.4 kN/m
WL2 = 181.7 kN/m
fc' = 22.8 MPa
fy = 179.9 MPa
d = 879mm
d' = 98mm

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 ?? = 0.004, solve for the theoretical steel area using pair 2. 
4. Using ?? = 0.005, solve for the theoretical steel area using pair 2.

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