A circular beam is loaded and supported as shown below. The material used to make the beam has a maximum allowable bending stress of allow = 125 MPa. Recall that the second moment of area for a circle is W is (1) * Use the following values in your working out: L L = 22 m d = 16 cm OI d a) Draw the FBD, SFD and BMD for the beam b) Write an expression for the internal bending moment as a function of length. Clearly show what convention you're using for positive length. c) Determine the maximum allowable intensity of w. d) Draw the approximate bending moment diagram for the beam shown below. You are welcome to either use symbolic variables or estimate loads/dimensions. Clearly write all assumptions.

A circular beam is loaded and supported as shown below. The material used to make the beam has a maximum allowable bending stress of allow = 125 MPa. Recall that the second moment of area for a circle is W is (1) * Use the following values in your working out: L L = 22 m d = 16 cm OI d a) Draw the FBD, SFD and BMD for the beam b) Write an expression for the internal bending moment as a function of length. Clearly show what convention you're using for positive length. c) Determine the maximum allowable intensity of w. d) Draw the approximate bending moment diagram for the beam shown below. You are welcome to either use symbolic variables or estimate loads/dimensions. Clearly write all assumptions.

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 circular beam is loaded and supported as shown below. The material used to make the beam has a maximum allowable bending
stress of allow= 125 MPa.
π
Recall that the second moment of area for a circle is -
4
W
Use the following values in your working out:
4
(9)**
L
L = 22 m
d = 16 cm
Old
a) Draw the FBD, SFD and BMD for the beam
b) Write an expression for the internal bending moment as a function of length. Clearly show what convention you're using for
positive length.
c) Determine the maximum allowable intensity of w.
d) Draw the approximate bending moment diagram for the beam shown below. You are welcome to either use symbolic
variables or estimate loads/dimensions. Clearly write all assumptions.

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Step 1: Given:-

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Step 2: Free body diagram:-

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Step 3: Shear force calculations:-

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Step 4: Bending moment calculations:-

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Step 5: Shear force and bending moment diagrams:-

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Step 6: Maximum allowable intensity, w:-

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Step 7: Approximate bending moment diagram:-

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