a) A 406x178x54-1 steel section is strengthened by welding a 177.6mm x 6mm plate to one flange asshown in Fig Q2-1. Compute the plastic section modulus about major axis and the plastic momentof the section given fy = 350MPa.6mm10.9mm10.9mm7.6mm2PFig Q2-1b) A two-bay portal frame in Fig Q2-2 is subjected to the loads as shown. Compute the minimum loadP required to cause collapse.Fig Q2-2Hint: You should consider at least 3 mechanismsthe value of Mp obtained in (a) above can be used for the final numerical evaluation of thecollapse force P177.6mmBMpA3P402.6mm1.5Mp7mMpD3P1.5Mp7mMpE+₁10m

Note: “Since you have posted multiple questions, we will provide the solution only to the first…

a) A 406x178x54-1 steel section is strengthened by welding a 177.6mm x 6mm plate to one flange as shown in Fig Q2-1. Compute the plastic section modulus about major axis and the plastic moment of the section given fy = 350MPa. 6mm 10.9mm 10.9mm Fig 02-1 7.6mm 177.6mm 402.6mm

a) A 406x178x54-1 steel section is strengthened by welding a 177.6mm x 6mm plate to one flange as shown in Fig Q2-1. Compute the plastic section modulus about major axis and the plastic moment of the section given fy = 350MPa. 6mm 10.9mm 10.9mm Fig 02-1 7.6mm 177.6mm 402.6mm

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

Types and properties of steel

Steel is an alloy of iron. It is formed by heating iron and combining carbon (0.1-1.7%) with it and minor amounts of other elements such sulfur, chromium, manganese, nickel, etc. Thousands of steel grades have been published, registered, or regulated around the world, each with its chemical composition, and special numbering systems have been devised in various countries to classify the vast number of alloys.

Question

a) A 406x178x54-1 steel section is strengthened by welding a 177.6mm x 6mm plate to one flange as
shown in Fig Q2-1. Compute the plastic section modulus about major axis and the plastic moment
of the section given fy = 350MPa.
6mm
10.9mm
10.9mm
7.6mm
2P
Fig Q2-1
b) A two-bay portal frame in Fig Q2-2 is subjected to the loads as shown. Compute the minimum load
P required to cause collapse.
Fig Q2-2
Hint: You should consider at least 3 mechanisms
the value of Mp obtained in (a) above can be used for the final numerical evaluation of the
collapse force P
177.6mm
B
Mp
A
3P
402.6mm
1.5Mp
7m
Mp
D
3P
1.5Mp
7m
Mp
E
+₁
10m

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Step 3: Plastic section modulus along major axis

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Step 4: Plastic section modulus along minor axis

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