с d = 20 mm Al 20 kN 30 kN 15 kN D d = 15 mm B k 6 m 2 m 2 m 4 m 2 m A beam is suspended by a rod (6 m in length) at each end and is subject to three concentrated loads as shown. You may assume that the support conditions at A and B can be approximated as a roller. Rod AC has a diameter of 20 mm and rod BD has a diameter of 15 mm. Both rods are steel with Young's modulus E = 200 GPa and failure stress ofail = 350 MPa. a) Draw the free body diagram (FBD) for the beam and each rod. b) Determine the tensile force in each rod. c) Determine the tensile stress in each rod.
с d = 20 mm Al 20 kN 30 kN 15 kN D d = 15 mm B k 6 m 2 m 2 m 4 m 2 m A beam is suspended by a rod (6 m in length) at each end and is subject to three concentrated loads as shown. You may assume that the support conditions at A and B can be approximated as a roller. Rod AC has a diameter of 20 mm and rod BD has a diameter of 15 mm. Both rods are steel with Young's modulus E = 200 GPa and failure stress ofail = 350 MPa. a) Draw the free body diagram (FBD) for the beam and each rod. b) Determine the tensile force in each rod. c) Determine the tensile stress in each rod.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:с
d = 20 mm
Al
20 kN
30 kN
15 kN
D
d = 15 mm
B
k
6 m
2 m
2 m
4 m
2 m
A beam is suspended by a rod (6 m in length) at each end and is subject to three concentrated
loads as shown. You may assume that the support conditions at A and B can be approximated
as a roller. Rod AC has a diameter of 20 mm and rod BD has a diameter of 15 mm. Both rods are
steel with Young's modulus E = 200 GPa and failure stress ofail = 350 MPa.
a) Draw the free body diagram (FBD) for the beam and each rod.
b) Determine the tensile force in each rod.
c) Determine the tensile stress in each rod.
d) What is the maximum factor if safety (FS) on fail that can be adopted if the design shown
were to be viable?
e) Determine the normal strain and elongation for both rods.
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can you please answere the last 2
Transcribed Image Text:C
d = 20 mm
AD
20 kN
2 m
30 kN
2 m
4 m
15 kN
2 m
D
d = 15 mm
B
6 m
d) What is the maximum factor if safety (FS) on fail that can be adopted if the design shown
were to be viable?
e) Determine the normal strain and elongation for both rods.
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