Problem 4 Design of Flexural Members A W 16 x 26 is used for beam AB as shown in the figure. Service dead loads consists of 125 mm thick reinforced concrete slab. Assume that the floor slab provides continuous lateral support. Partition load (movable, live) = 0.96 kPa, Suspended ceiling and mechanical equipment = 0.48 kPa. Service live load = 3.12 kPa and unit weight of concrete = 24 kN/m³.

Structural Analysis
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Chapter2: Loads On Structures
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Problem 4 Design of Flexural Members
A W 16 x 26 is used for beam AB as shown in the figure. Service dead
loads consists of 125 mm thick reinforced concrete slab. Assume that
the floor slab provides continuous lateral support.
Partition load (movable, live) = 0.96 kPa, Suspended ceiling and
mechanical equipment = 0.48 kPa. Service live load = 3.12 kPa and unit
weight of concrete = 24 kN/m³.
Properties of W 16 X 26
Wt. =
39 kg/m
A = 4955 mm²
d
398.53 mm
9 т.
bf = 139.70 mm
tf = 8.76 mm
tw = 6.35 mm
В
Sx = 629 x 103 mm3
Sy
= 57 x 103 mm³
1.8
1.8
1.8
1.8
Zx = 724 x 103 mm3
Zy
= 90 x 103 mm3
Fy
= 345.6 MPa
a. Determine the design flexural strength capacity of the beam.
Ø =0.90 (kN-m)
b. Determine the design shear strength capacity of the beam. (kN)
c. Determine the deflection of the beam if it has a flexural
rigidity of 23800 kN-m² based on live load only.
d. Is the beam adequate for live load deflection limit as per code?
Transcribed Image Text:Problem 4 Design of Flexural Members A W 16 x 26 is used for beam AB as shown in the figure. Service dead loads consists of 125 mm thick reinforced concrete slab. Assume that the floor slab provides continuous lateral support. Partition load (movable, live) = 0.96 kPa, Suspended ceiling and mechanical equipment = 0.48 kPa. Service live load = 3.12 kPa and unit weight of concrete = 24 kN/m³. Properties of W 16 X 26 Wt. = 39 kg/m A = 4955 mm² d 398.53 mm 9 т. bf = 139.70 mm tf = 8.76 mm tw = 6.35 mm В Sx = 629 x 103 mm3 Sy = 57 x 103 mm³ 1.8 1.8 1.8 1.8 Zx = 724 x 103 mm3 Zy = 90 x 103 mm3 Fy = 345.6 MPa a. Determine the design flexural strength capacity of the beam. Ø =0.90 (kN-m) b. Determine the design shear strength capacity of the beam. (kN) c. Determine the deflection of the beam if it has a flexural rigidity of 23800 kN-m² based on live load only. d. Is the beam adequate for live load deflection limit as per code?
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