A W 21 x 48 beam is simply supported on a span 7 m. The beam is laterally supported at its ends and subjected to a uniform service dead load of 7 kN/m (including the weight of the beam) and a service live load of 3.1 kN/m, respectively. If Fy = 345 MPa, determine the available strength for LRFD and ASD. Properties of W 21 x 48 523 mm 207 mm 8.89 mm tw= 10.9 mm d = b₁ = t₁ = Z, = 244 (10³) mm³ J = 334 (10³) mm* ho = 513 mm Cw=1060 (109) mm* 4 Ix = 399 (106) mm* y = 16.1 (106) mmª S₂ = 1520 (10³) mm³ S, = 156 (10³) mm³ ry = 42.2 mm Its = 52.1 mm 2x=1750 x 10² mm ²³

A W 21 x 48 beam is simply supported on a span 7 m. The beam is laterally supported at its ends and subjected to a uniform service dead load of 7 kN/m (including the weight of the beam) and a service live load of 3.1 kN/m, respectively. If Fy = 345 MPa, determine the available strength for LRFD and ASD. Properties of W 21 x 48 523 mm 207 mm 8.89 mm tw= 10.9 mm d = b₁ = t₁ = Z, = 244 (10³) mm³ J = 334 (10³) mm* ho = 513 mm Cw=1060 (109) mm* 4 Ix = 399 (106) mm* y = 16.1 (106) mmª S₂ = 1520 (10³) mm³ S, = 156 (10³) mm³ ry = 42.2 mm Its = 52.1 mm 2x=1750 x 10² mm ²³

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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Concept explainers

Members with compression and bending

Compression members are structural elements that carry compressive axial force. They are the vertical members of a building that support beams and their design, which is governed by buckling and strength. Columns are known as struct or compression members, which are subjected to compressive forces. These members provide stiffness to the building and avoid any imperfection regarding the transfer of axial load. For instance, webs in a truss, braces in a framed structure, tiers, and so on.

Question

In Steel Design,I need a complete solutions thank u…

A W 21 x 48 beam is simply supported on a span 7 m. The beam is laterally supported at its
ends and subjected to a uniform service dead load of 7 kN/m (including the weight of the beam) and
a service live load of 3.1 kN/m, respectively. If Fy = 345 MPa, determine the available strength for
LRFD and ASD.
Properties of W 21 x 48
d =
523 mm
b₁ =
207 mm
t₁ = 8.89 mm
tw = 10.9 mm
Z₁ = 244 (10³) mm³
J = 334 (10³) mm²
ho = 513 mm
Cw= 1060 (10%) mm 4
1x = 399 (106) mm¹
ly = 16.1 (106) mm*
S₂ = 1520 (10³) mm³
Sy = 156 (10³) mm³
ry = 42.2 mm
Its = 52.1 mm
૨
2x=1750 x 10 mm ²

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Step 1: Introducing given data

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Step 2: Check the shape of beam

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Step 3: Calculate Mn based on flange local buckling

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Step 4: Calculate Cb

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Step 5: Calculate rts

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Step 6: Calculate nominal moment capacity (Mn)

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Step 7: LRFD Strength

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Step 8: ASD Strength

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