A W21 x 57 of A992Gr50 steel column having length of 6 m and is fixed at both ends.(Gr50 steel = 50 ksi = 345 MPa = Fy) is used to carry a load of 900 kN dead load and 400 kN liveload. Note: Use NSCP 2015Properties of W21 x 57A 10800 mmd = 536 mmbf = 167 mmtr = 16.5 mmtw 10.3 mmKdesrx = 212 mmRy = 34.3 mm= 29.2 mma. Calculate the critical slenderness ratio of the W section if the column is braced at midpoint of the weakaxisb. Calculate the compressive capacity of built-up section using ASD and LRFDc. Calculate the demand-capacity factor, Is the section adequate?

Given, L = 6m or 6000 mm DL = 900 kN LL = 400 kN Fy = 345 MPa

a. Calculate the critical slenderness ratio of the W section if the column is braced at midpoint of the weak axis b. Calculate the compressive capacity of built-up section using ASD and LRFD c. Calculate the demand-capacity factor, Is the section adequate?

a. Calculate the critical slenderness ratio of the W section if the column is braced at midpoint of the weak axis b. Calculate the compressive capacity of built-up section using ASD and LRFD c. Calculate the demand-capacity factor, Is the section adequate?

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

Design criteria for structural loading

The different loads such as loads due to self-weight (dead load) and external loads such as live load, wind loads, seismic load, snow load, and other loads and load combinations that influence the design of a building are called structural loading. The nature of the applied load differs from changes in the location, design, and type of materials used. The design criteria require that structures must be designed and constructed to be able to withstand all load types that are expected to act upon the structure and render its usage for the designated purpose. The structural members such as beams, slabs, columns, and foundations help the structure to withstand the applied load. There are different institutes such as ASCE and ACI that provide building design codes to assure minimum safety requirements and quality of the structures.

Question

A W21 x 57 of A992Gr50 steel column having length of 6 m and is fixed at both ends.
(Gr50 steel = 50 ksi = 345 MPa = Fy) is used to carry a load of 900 kN dead load and 400 kN live
load. Note: Use NSCP 2015
Properties of W21 x 57
A 10800 mm
d = 536 mm
bf = 167 mm
tr = 16.5 mm
tw 10.3 mm
Kdes
rx = 212 mm
Ry = 34.3 mm
= 29.2 mm
a. Calculate the critical slenderness ratio of the W section if the column is braced at midpoint of the weak
axis
b. Calculate the compressive capacity of built-up section using ASD and LRFD
c. Calculate the demand-capacity factor, Is the section adequate?

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