A rigid beam ABC supports a linear distributed load with maximum value q while supported by a pin at A and two deformable cables, DB and DC. The properties and cross-sections of the cables are shown below. The application is such that a factor of safety of at least 1.5 against yielding is needed at all times. a) Find the value of q required so that a horizontal displacement at point C equals 5mm. b) Find the safety factors of the cables. Are they within the requirement? Assume the cables remain elastic. For cable DB: diameter = 20 mm, Ecable,DB = 225 GPa, Oy,DB = 300 MPa. For cable DC: diameter = 20 mm, Ecable, DC = 70 GPa, Oy,Dc = 200 MPa. Note that points C and D are at the same vertical position. D 4 m q 3m 3m Figure 2.1. Rigid beam with distributed load
A rigid beam ABC supports a linear distributed load with maximum value q while supported by a pin at A and two deformable cables, DB and DC. The properties and cross-sections of the cables are shown below. The application is such that a factor of safety of at least 1.5 against yielding is needed at all times. a) Find the value of q required so that a horizontal displacement at point C equals 5mm. b) Find the safety factors of the cables. Are they within the requirement? Assume the cables remain elastic. For cable DB: diameter = 20 mm, Ecable,DB = 225 GPa, Oy,DB = 300 MPa. For cable DC: diameter = 20 mm, Ecable, DC = 70 GPa, Oy,Dc = 200 MPa. Note that points C and D are at the same vertical position. D 4 m q 3m 3m Figure 2.1. Rigid beam with distributed load
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![A rigid beam ABC supports a linear distributed load with maximum value q while supported by a
pin at A and two deformable cables, DB and DC. The properties and cross-sections of the cables
are shown below. The application is such that a factor of safety of at least 1.5 against yielding is
needed at all times.
a) Find the value of q required so that a horizontal displacement at point C equals 5mm.
b)
Find the safety factors of the cables. Are they within the requirement?
Assume the cables remain elastic.
For cable DB: diameter = 20 mm, Ecable,DB = 225 GPa, Oy,DB 300 MPa.
For cable DC: diameter = 20 mm, Ecable, DC =
are at the same vertical position.
70 GPa, Oy,Dc = 200 MPa. Note that points C and D
4 m
q
B
3 m
3m
Figure 2.1. Rigid beam with distributed load](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0b19c45c-45ce-4c27-bac7-d4347db4e836%2F77362b89-456a-45e8-8be9-1cbe6c99ef70%2Fv5zjgb4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A rigid beam ABC supports a linear distributed load with maximum value q while supported by a
pin at A and two deformable cables, DB and DC. The properties and cross-sections of the cables
are shown below. The application is such that a factor of safety of at least 1.5 against yielding is
needed at all times.
a) Find the value of q required so that a horizontal displacement at point C equals 5mm.
b)
Find the safety factors of the cables. Are they within the requirement?
Assume the cables remain elastic.
For cable DB: diameter = 20 mm, Ecable,DB = 225 GPa, Oy,DB 300 MPa.
For cable DC: diameter = 20 mm, Ecable, DC =
are at the same vertical position.
70 GPa, Oy,Dc = 200 MPa. Note that points C and D
4 m
q
B
3 m
3m
Figure 2.1. Rigid beam with distributed load
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