A cantilever beam of span 4 m is carrying two concentrated loads P1 = 16KNand P2 = 20kN are acting at 1 m and 2 m from free end of the beamrespectively. Figure 3 shows the loading diagram of a cantilever beam. Thecantilever beam is a steel beam with symmetrical I' section with the followingdimensions. Overall depth of the beam is D mm. Top and bottom flange widthsof 'I' section are B mm. Also, take thickness of flanges and web are 30 mm and10 mm respectively.(a) Calculate the maximum bending moment at the fixed support and plotbending moment diagram of the beam.(b) Calculate the second moment of area of 'I' section along horizontal axis.(c) Calculate the bending stress of the beam.P1 =16 KN P2 = 20 KNABD10B - 151 MM2 m-1mCross SectionD =319 MM

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A cantilever beam of span 4 m is carrying two concentrated loads P1 = 16KN and P2 = 20kN are acting at 1 m and 2 m from free end of the beam respectively. Figure 3 shows the loading diagram of a cantilever beam. The cantilever beam is a steel beam with symmetrical I' section with the following dimensions. Overall depth of the beam is D mm. Top and bottom flange widths of 'l' section are B mm. Also, take thickness of flanges and web are 30 mm and 10 mm respectively. (a) Calculate the maximum bending moment at the fixed support and plot bending moment diagram of the beam. (b) Calculate the second moment of area of 'I' section along horizontal axis. (c) Calculate the bending stress of the beam. P1 =16 KN P2 = 20 KN A B D 10 B 151 MM -1m 2 m 1 m Cross Section tat D =319 MM

A cantilever beam of span 4 m is carrying two concentrated loads P1 = 16KN and P2 = 20kN are acting at 1 m and 2 m from free end of the beam respectively. Figure 3 shows the loading diagram of a cantilever beam. The cantilever beam is a steel beam with symmetrical I' section with the following dimensions. Overall depth of the beam is D mm. Top and bottom flange widths of 'l' section are B mm. Also, take thickness of flanges and web are 30 mm and 10 mm respectively. (a) Calculate the maximum bending moment at the fixed support and plot bending moment diagram of the beam. (b) Calculate the second moment of area of 'I' section along horizontal axis. (c) Calculate the bending stress of the beam. P1 =16 KN P2 = 20 KN A B D 10 B 151 MM -1m 2 m 1 m Cross Section tat D =319 MM

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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Question

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A cantilever beam of span 4 m is carrying two concentrated loads P1 = 16KN
and P2 = 20kN are acting at 1 m and 2 m from free end of the beam
respectively. Figure 3 shows the loading diagram of a cantilever beam. The
cantilever beam is a steel beam with symmetrical I' section with the following
dimensions. Overall depth of the beam is D mm. Top and bottom flange widths
of 'I' section are B mm. Also, take thickness of flanges and web are 30 mm and
10 mm respectively.
(a) Calculate the maximum bending moment at the fixed support and plot
bending moment diagram of the beam.
(b) Calculate the second moment of area of 'I' section along horizontal axis.
(c) Calculate the bending stress of the beam.
P1 =16 KN P2 = 20 KN
A
B
D
10
B - 151 MM
2 m
-1m
Cross Section
D =319 MM

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