1. The three-member (ABC, AD and BD) frame shown in Fig. 1 is subjected to a force P and a moment, M. Determine the average normal stress in member AD, which has circular section with diameter 30 mm, for P = 25 kN and M = 2 kN.m. If the member AD is to be made from wood which has ultimate stresses as 50 MPa in tension and 30 MPa in compression; what will be the factor of safety of the member AD without considering pin connections. P -イ… 1.0m B M 60° 60° D -2.0 m

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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1. The three-member (ABC, AD and BD) frame shown in Fig.1 is subjected to a force P and
a moment, M. Determine the average normal stress in member AD, which has circular
section with diameter 30 mm, for P = 25 kN and M = 2 kN.m. If the member AD is to be
made from wood which has ultimate stresses as 50 MPa in tension and 30 MPa in
compression; what will be the factor of safety of the member AD without considering pin
connections.
P
---f--
1.0 m
B
M
A
60°
60°
D
-2.0 m
Figure 1
Answer: F.S.=1.85
Transcribed Image Text:1. The three-member (ABC, AD and BD) frame shown in Fig.1 is subjected to a force P and a moment, M. Determine the average normal stress in member AD, which has circular section with diameter 30 mm, for P = 25 kN and M = 2 kN.m. If the member AD is to be made from wood which has ultimate stresses as 50 MPa in tension and 30 MPa in compression; what will be the factor of safety of the member AD without considering pin connections. P ---f-- 1.0 m B M A 60° 60° D -2.0 m Figure 1 Answer: F.S.=1.85
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