Determine the value of P

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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M8
A cantilevered
bent beam which has a circular
cross section with diameter of 0.3 m is
subjected to a vertical downward force, P (kN)
and a bending moment, 0.5P (kNm) directed
as shown. The beam is made of brittle
material with ultimate strength in tension equal
to 350 MPa and compression equal to 330
MPa At section a-a,
a. Identify which point/s in the section (A, B, C
and/or D) should be considered as critical
points in the analysis for failure. State all
points that apply and briefly explain why. Show
your complete solutions
b. Determine the value of P such that the
material will not fail at any point using the
MNST failure criterion.
P (kN)
0.5P (kNm)
Section a-a
B
A
I
C
0.45 m
D
I
A
Transcribed Image Text:A cantilevered bent beam which has a circular cross section with diameter of 0.3 m is subjected to a vertical downward force, P (kN) and a bending moment, 0.5P (kNm) directed as shown. The beam is made of brittle material with ultimate strength in tension equal to 350 MPa and compression equal to 330 MPa At section a-a, a. Identify which point/s in the section (A, B, C and/or D) should be considered as critical points in the analysis for failure. State all points that apply and briefly explain why. Show your complete solutions b. Determine the value of P such that the material will not fail at any point using the MNST failure criterion. P (kN) 0.5P (kNm) Section a-a B A I C 0.45 m D I A
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