Brass Problem 3: A composite bar is made by attaching a copper rod of length 900 mm and diameter 30 mm and a brass rod of length 600 mm and diameter 45 mm as shown. A load of 20 kN is applied at 20°C. For unyielding supports, find the stresses in the materials when the temperature rises to 50°C. For copper, E = 120 GPa and a = 18 x 104 °C. For brass, E = 90 GPa and a = 20 x 104 °C. Copper + 20 kN 900 mm 600 mm
Brass Problem 3: A composite bar is made by attaching a copper rod of length 900 mm and diameter 30 mm and a brass rod of length 600 mm and diameter 45 mm as shown. A load of 20 kN is applied at 20°C. For unyielding supports, find the stresses in the materials when the temperature rises to 50°C. For copper, E = 120 GPa and a = 18 x 104 °C. For brass, E = 90 GPa and a = 20 x 104 °C. Copper + 20 kN 900 mm 600 mm
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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answer problem 3 only
Transcribed Image Text:Problem 1: Steel rod AC (E=200GPA) having a cross sectional area of 250
mm2, jointly support the 10 kN load with spring DE having a flexibility of
0.0005mm/N and an unstretched length of 9m. Bar BCE is rigid. Assuming
that there was no slack or stress in rod AC or spring DE before the load was
applied;
a. Determine the ratio of the deformation of rod AC to spring DE.
b. Determine the force on rod AC in kN.
c. Determine the force on spring DE (kN).
12m
9m
12m
4m
Problem 2: A shaft is to be fitted with a flanged
coupling having 6 bolts on a circle of diameter 150 mm
and 4 bolts on a circle of diameter 100 mm. The shaft
may be subjected to either a direct tensile load of 400
kN or a twisting moment of 18 kN-m. If the maximum
direct tensile and shearing stresses permissible in the
bolt material are 125 MPa and 55 MPa respectively.
Find the minimum diameter of the bolt required.
Assume that each bolt takes an equal share of the
load or torque.
Outer bolt
Shaft
circle
Shaft
Bolt
Inner bolt
Flange
circle
Brass
Problem 3: A composite bar is made by attaching a copper rod of
length 900 mm and diameter 30 mm and a brass rod of length 600
mm and diameter 45 mm as shown. A load of 20 kN is applied at
20°C. For unyielding supports, find the stresses in the materials
when the temperature rises to 50°C. For copper, E = 120 GPa and
a = 18 x 10€ °C. For brass, E = 90 GPa and a = 20 x 106 °C.
Copper
20 kN
900 mm
600 mm
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