Find the maximum P that can be applied at point E given that:

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Consider the structure shown in Fig. 2. The thickness of beam B-D is 5 cm. and the beam is
connected to the support beam (C-F) by a bolt at C and is also supported by bar AB, which is
pinned at both ends. The diameter of the bolt at C is 0.5 cm.
10 cm
40 cm
A
B
H
5 cm
30 cm
с
F
15⁰
D
70⁰
E
P
Fig. 2 Structure with steel members connected with pins.
Find the maximum P that can be applied at point E given that:
• The bolt at C has a failure shear stress equal to Tfail = 100 MPa and a safety factor for failure
under shear F.S.=3.0. The failure bearing stress for the bolt at C is equal to ofail = 200 MPa
and the safety factor for failure under bearing stress is equal to F.S.=3.0.
• The failure normal stress of member AB is equal to 250 MPa, and the factor of safety for
failure under normal stresses is equal to F.S. = 2.5. Member AB has a rectangular cross-
section of 1 cm x 0.5 cm.
• The pins at points A and B are in double shear and have a diameter of 0.2 cm. The failure
shear stress of these pins is equal to Tfail = 100 MPa and the safety factor for failure in shear
for the pins is equal to 3.0.
• The beams BD and CF do not need to be checked.
Transcribed Image Text:Consider the structure shown in Fig. 2. The thickness of beam B-D is 5 cm. and the beam is connected to the support beam (C-F) by a bolt at C and is also supported by bar AB, which is pinned at both ends. The diameter of the bolt at C is 0.5 cm. 10 cm 40 cm A B H 5 cm 30 cm с F 15⁰ D 70⁰ E P Fig. 2 Structure with steel members connected with pins. Find the maximum P that can be applied at point E given that: • The bolt at C has a failure shear stress equal to Tfail = 100 MPa and a safety factor for failure under shear F.S.=3.0. The failure bearing stress for the bolt at C is equal to ofail = 200 MPa and the safety factor for failure under bearing stress is equal to F.S.=3.0. • The failure normal stress of member AB is equal to 250 MPa, and the factor of safety for failure under normal stresses is equal to F.S. = 2.5. Member AB has a rectangular cross- section of 1 cm x 0.5 cm. • The pins at points A and B are in double shear and have a diameter of 0.2 cm. The failure shear stress of these pins is equal to Tfail = 100 MPa and the safety factor for failure in shear for the pins is equal to 3.0. • The beams BD and CF do not need to be checked.
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