Answered: a) Determine the value of the ratio…

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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Steel Design

W21x62 steel is used as a beam simply supported over a span of 8 m. The beam is laterally unsupported over the entire span. Fy = 250 MPa.

The properties of the section are as follows:

Depth, d = 533 mm

Flange width, bf = 210 mm

Flange thickness, tf = 15.6 mm

Web thickness, tw = 10.2 mm

Radius of gyration, rT = 53.34 mm

Section modulus, Sx = 2,077 x 103 mm³

a) Determine the value of the ratio L/rT.

b) Determine the allowable bending stress in MPa.

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Given the truss shown, solve the following. Use A36 steel and assume there are two lines of three 19 mm bolts in each flange. Hole diameter is assumed to be three mm more than the bolt diameter. Neglect the weight of the section. a.What is the capacity of member CG? b. Design member CG using a W section. c. What is the tensile capacity of the section for CG based on gross area? The following W Section were considered for the design: W10x33 W14x38 W8x40 W16x36 W10x39 W8x13 189 KN 1.50 HL B 145 KN 1.50 E + 137 KN 121 KN -3.00 + 12.00 3.00 154 KN + W4x13 W6x9 W10x12 200 KN -1.50 1.50 1 030 T 1.20 +2.40 0.60 L i 0.30
Steel Design W21x62 steel is used as a beam simply supported over a span of 8 m. The beam is laterally unsupported over the entire span Fy = 250 MPa. The properties of the section are as follows: Depth, d = 533 mm Flange width, bf = 210 mm Flange thickness, tf = 15.6 mm Web thickness, tw = 10.2 mm Radius of gyration, rT = 53.34 mm Section modulus, Sx = 2,077 x 103 mm³ a) Determine the value of the ratio L/rT. b) Determine the allowable bending stress in MPa.
A W420x85 steel beam is fully restrained with a uniformly distributed live load of 25 kN/m. The beam has a span of 10m. Use A36 steel. Properties of W40 x 85 A = 10839 mm2 %D bf = 180 mm tf = 18 mm %3D tw = = 11 mm Ix = 310 x 106 mm4 %3D d = 420 mm (Note: Since this is a built-up section, for checking of web slenderness, use h = d - 2t;) %3D 1) Calculate the design shear strength of the section. Check if the section is adequate in shear. USE LRFD and U = 1.2D + 1.6L. %3D 2) Is the maximum deflection at the midspan of the beam due to live load adequate? 3) Calculate the maximum uniform live load that can be carried by the beam.

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