The radius of semi-circle R

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Click a picture to
240 mm
100 1
1501
400 mm
150 1
RR
120 mın
120 mm
q N/m
3 im
3 in
Transcribed Image Text:Click a picture to 240 mm 100 1 1501 400 mm 150 1 RR 120 mın 120 mm q N/m 3 im 3 in
A simply supported beam of 6 m length,
has 2 linearly varying loads each of span 3
m and both of load-intensity q N/m as
shown in the figure below. The beam
cross-section is a rectangle, with a triangle
(height = 150 mm and base
semi-circle (Radius = R mm) cut out from
it, as shown in the figure. The beam is
made up of material whose yield stress in
compression
tension = 250 MPa. At the section of
maximum bending moment, the bending
stresses at extreme fibers reach the
allowable yield stresses simultaneously.
Find:
= 2R mm) and
%3D
%3D
= 175 MPa and yield stress in
%3D
%3D
a.
The radius of semi-circle R (in mm)
b.
The load intensity of linearly varying
loads q (in N/m)
Transcribed Image Text:A simply supported beam of 6 m length, has 2 linearly varying loads each of span 3 m and both of load-intensity q N/m as shown in the figure below. The beam cross-section is a rectangle, with a triangle (height = 150 mm and base semi-circle (Radius = R mm) cut out from it, as shown in the figure. The beam is made up of material whose yield stress in compression tension = 250 MPa. At the section of maximum bending moment, the bending stresses at extreme fibers reach the allowable yield stresses simultaneously. Find: = 2R mm) and %3D %3D = 175 MPa and yield stress in %3D %3D a. The radius of semi-circle R (in mm) b. The load intensity of linearly varying loads q (in N/m)
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