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The radius of semi-circle R

The radius of semi-circle R

Structural Analysis
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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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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