.A steel beam structure has a rectangular cross-section as shown in Figure Q1. The beam is built-in at one end and experiences a point-load at the free end. a) If the yield stress of the steel is 250MPa in simple tension and compression, find the load for: i) fully elastic bending, ii) fully plastic bending. b) A further increase in load causes yielding to occur. Assuming elastic perfectly plastic material behaviour, determine the load required to cause yielding for a depth of 20mm at the top and bottom of the section at the built-in end. c) For the case that the beam experiences fully plastic yielding at the built-in end only, determine the distance from the built-in end of the beam over which yielding at the top and bottom faces will occur. d) Determine the Shape Factor.

.A steel beam structure has a rectangular cross-section as shown in Figure Q1. The beam is built-in at one end and experiences a point-load at the free end. a) If the yield stress of the steel is 250MPa in simple tension and compression, find the load for: i) fully elastic bending, ii) fully plastic bending. b) A further increase in load causes yielding to occur. Assuming elastic perfectly plastic material behaviour, determine the load required to cause yielding for a depth of 20mm at the top and bottom of the section at the built-in end. c) For the case that the beam experiences fully plastic yielding at the built-in end only, determine the distance from the built-in end of the beam over which yielding at the top and bottom faces will occur. d) Determine the Shape Factor.

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

Alloys

An alloy is an admixture of two or more metals or a metal and a non-metal. Since ancient times, man has been using alloys. Alloying helps to retain the properties of the parent matter, such as hardness, strength, toughness, ductility and is corrosion-resistant. Copper alloys such as brass have antimicrobial properties that help to fight against (Coronavirus disease 2019) COVID-19 and other hospital-acquired infections. Some common alloys are brass, bronze, solder steel, etc. Most alloys have a lower melting point than their constituents. This is due to the presence of a nonmetal as one of the constituents that behaves as an impurity and restricts the raise of melting point.

Question

.A steel beam structure has a rectangular cross-section as shown in Figure Q1. The beam is
built-in at one end and experiences a point-load at the free end.
a) If the yield stress of the steel is 250MPa in simple tension and compression, find the load
for:
i) fully elastic bending,
ii) fully plastic bending.
b) A further increase in load causes yielding to occur. Assuming elastic - perfectly plastic
material behaviour, determine the load required to cause yielding for a depth of 20mm at
the top and bottom of the section at the built-in end.
c) For the case that the beam experiences fully plastic yielding at the built-in end only,
determine the distance from the built-in end of the beam over which yielding at the top and
bottom faces will occur.
d) Determine the Shape Factor.
100 mm
Beam cross-section
100 mm
BO
F
L = 1.5 m
A

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