Problem# 1. A cantilever beam made of IPE200 is subjected to a concentrated live load of 10 KN (PL=10 kN) in addition to its self-weight, WD-3 kN/m, as shown below. (a) Find design flexural strength, Mn, considering plastic hinge formation limit state only and check if the beam has enough capacity to support factored loads. Use LRFD. (b) Check if the beam has sufficent shear strength. Use ASD.

Structural Analysis
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Chapter2: Loads On Structures
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Problem# 1. A cantilever beam made of IPE200 is subjected to a concentrated live load of 10
KN (PL=10 kN) in addition to its self-weight, WD-3 kN/m, as shown below.
(a) Find design flexural strength, Mn, considering plastic hinge formation limit state
only and check if the beam has enough capacity to support factored loads. Use LRFD.
(b) Check if the beam has sufficent shear strength. Use ASD.
Self weight, WD=3 kN/m
IPE200
L=2 m
Fig. 1. A cantilevered beam
Live load,
PL=10 KN
Given:
E=200,000 MPa
Fy=235 MPa
Transcribed Image Text:Problem# 1. A cantilever beam made of IPE200 is subjected to a concentrated live load of 10 KN (PL=10 kN) in addition to its self-weight, WD-3 kN/m, as shown below. (a) Find design flexural strength, Mn, considering plastic hinge formation limit state only and check if the beam has enough capacity to support factored loads. Use LRFD. (b) Check if the beam has sufficent shear strength. Use ASD. Self weight, WD=3 kN/m IPE200 L=2 m Fig. 1. A cantilevered beam Live load, PL=10 KN Given: E=200,000 MPa Fy=235 MPa
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