A rigid beam ABCD is supported by a pin at B and two cables lócated at A and C. The cables have a 30 mm diameter and are made of high strength steel with a yield strength of 800 MPa and elastic modulus of 200 GPa. The rigid beam is designed to resist a vertical load P applied at D equal to 200 kN. (a) find the forces developed in each cable (b) find the corresponding vertical displacement at point D where the load is applied 1 m 2 m 1.4 m P=200 kN 750 mm A IB C 1500 mm
A rigid beam ABCD is supported by a pin at B and two cables lócated at A and C. The cables have a 30 mm diameter and are made of high strength steel with a yield strength of 800 MPa and elastic modulus of 200 GPa. The rigid beam is designed to resist a vertical load P applied at D equal to 200 kN. (a) find the forces developed in each cable (b) find the corresponding vertical displacement at point D where the load is applied 1 m 2 m 1.4 m P=200 kN 750 mm A IB C 1500 mm
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A rigid beam ABCD is supported by a pin at B and two cables lócated at A and C.
The cables have a 30 mm diameter and are made of high strength steel with a yield
strength of 800 MPa and elastic modulus of 200 GPa. The rigid beam is designed to
resist a vertical load P applied at D equal to 200 kN.
(a) find the forces developed in each cable
(b) find the coresponding vertical displacement at point D where the load is
applied
1 m
2 m
1.4 m
P=200 kN
750 mm
A
IB
C
D
1500 mm
Os
Transcribed Image Text:10.1 x 10° psi), which consists of
The aluminum rod ABC (E =
two cylindrical portions AB and BC, is to be replaced with a cylin-
drical steel rod DE (E = 29 X 10 psi) of the same overall length.
Determine the minimum required diameter d of the steel rod if
its vertical deformation is not to exceed the deformation of the
aluminum rod under the same load and if the allowable stress in
the steel rod is not to exceed 24 ksi.
28 kips
28 kips
A
D
12 in.
+1.5 in.
B
-2.25 in.
-
18 in.
C
E
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