A beam is used to support a concentrated load of 12 kN and a distributed load (w). The beam has the following restrains: Fixed support at A, a hinge at B and a roller support at C. If the distributed Load w is 6 kN/m and E is known to be 200 GPa, Determine the following: a. Determine the absolute maximum bending stress in the strut in (MPa). Your solution has to include the shear and bending moment diagram. b. Determine the radius of curvature for member BC in meters. c. It came to your knowledge that the section used has to be changed, calculate the Smin in mm3 for the strut if the allowable stress is 170 MPa. d. If the supports at A and C were changed to pin supports and the hinge at B was removed. How would the maximum bending stress change? Support your claim with numbers.

Architectural Drafting and Design (MindTap Course List)
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Author:Alan Jefferis, David A. Madsen, David P. Madsen
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Chapter17: Floor Plan Dimensions And Notes
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A beam is used to support a concentrated load of 12 kN and a distributed load (w). The beam has the following restrains: Fixed support at A, a hinge at B and a roller support at C. If the distributed Load w is 6 kN/m and E is known to be 200 GPa, Determine the following:

a. Determine the absolute maximum bending stress in the strut in (MPa). Your solution has to include the shear and bending moment diagram.

b. Determine the radius of curvature for member BC in meters.

c. It came to your knowledge that the section used has to be changed, calculate the Smin in mm3 for the strut if the allowable stress is 170 MPa.

d. If the supports at A and C were changed to pin supports and the hinge at B was removed. How would the maximum bending stress change? Support your claim with numbers.

 

 

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10 cm
5 cm
Transcribed Image Text:10 cm 5 cm
w
12 kN
A
C
B
9 m
-3 m ---–
6 m
Transcribed Image Text:w 12 kN A C B 9 m -3 m ---– 6 m
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