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SITUATION. A fixed-ended girder spans 10 m long. Neglecting self-weight the beam carries concentrated dead and live loads at midspan. Properties of the Girder: Area, A = 19,226 mm^2 Depth, d = 540 mm Flange Width, bf = 312 mm Flange Thickness, tf = 20 mm Web Thickness, tw = 12 mm Fillet, k = 30 mm Radius of gyration, rx = 230 mm Radius of gyration, ry = 40 mm Moment of inertia, Ix= 1004.4 x 10^6 mm^4 Elastic Section Modulus, Sx = 3.72 x 10^6 mm^3 Plastic Section Modulus, Zx = 4.14 x 10^6 mm^3 Torsional Constant, J = 1120 x 10³ mm² Its = 60 mm Steel Yield Stress, Fy = 345 MPa Factored Load, U = 1.2D + 1.6L Strength reduction factor, p = 0.90 1. If the compression flange of the girder is supported only at midspan, evaluate the moment gradient multiplier. 2. Evaluate the design moment.

SITUATION. A fixed-ended girder spans 10 m long. Neglecting self-weight the beam carries concentrated dead and live loads at midspan. Properties of the Girder: Area, A = 19,226 mm^2 Depth, d = 540 mm Flange Width, bf = 312 mm Flange Thickness, tf = 20 mm Web Thickness, tw = 12 mm Fillet, k = 30 mm Radius of gyration, rx = 230 mm Radius of gyration, ry = 40 mm Moment of inertia, Ix= 1004.4 x 10^6 mm^4 Elastic Section Modulus, Sx = 3.72 x 10^6 mm^3 Plastic Section Modulus, Zx = 4.14 x 10^6 mm^3 Torsional Constant, J = 1120 x 10³ mm² Its = 60 mm Steel Yield Stress, Fy = 345 MPa Factored Load, U = 1.2D + 1.6L Strength reduction factor, p = 0.90 1. If the compression flange of the girder is supported only at midspan, evaluate the moment gradient multiplier. 2. Evaluate the design moment.

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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SITUATION. A fixed-ended girder spans 10 m long. Neglecting self-weight the beam carries concentrated dead and live loads at midspan. Properties of the Girder: Area, A = 19,226 mm^2 Depth, d = 540 mm Flange Width, bf = 312 mm Flange Thickness, tf = 20 mm Web Thickness, tw = 12 mm Fillet, k = 30 mm Radius of gyration, rx = 230 mm Radius of gyration, ry = 40 mm Moment of inertia, Ix = 1004.4 x 10^6 mm^4 Elastic Section Modulus, Sx = 3.72 x 10^6 mm^3 Plastic Section Modulus, Zx = 4.14 x 10^6 mm^3 Torsional Constant, J = 1120 x 10³ mm4 rts = 60 mm Steel Yield Stress, Fy = 345 MPa Factored Load, U = 1.2D + 1.6L Strength reduction factor, p = 0.90 1. If the compression flange of the girder is supported only at midspan, evaluate the moment gradient multiplier. 2. Evaluate the design moment.
Transcribed Image Text:SITUATION. A fixed-ended girder spans 10 m long. Neglecting self-weight the beam carries concentrated dead and live loads at midspan. Properties of the Girder: Area, A = 19,226 mm^2 Depth, d = 540 mm Flange Width, bf = 312 mm Flange Thickness, tf = 20 mm Web Thickness, tw = 12 mm Fillet, k = 30 mm Radius of gyration, rx = 230 mm Radius of gyration, ry = 40 mm Moment of inertia, Ix = 1004.4 x 10^6 mm^4 Elastic Section Modulus, Sx = 3.72 x 10^6 mm^3 Plastic Section Modulus, Zx = 4.14 x 10^6 mm^3 Torsional Constant, J = 1120 x 10³ mm4 rts = 60 mm Steel Yield Stress, Fy = 345 MPa Factored Load, U = 1.2D + 1.6L Strength reduction factor, p = 0.90 1. If the compression flange of the girder is supported only at midspan, evaluate the moment gradient multiplier. 2. Evaluate the design moment.
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