Q:1/ A hollow right-circular cylinder is made of cast iron and has an outside diameter of (75 mm) and an inside diameter of (60 mm). If the cylinder is loaded by an axial compressive force of (50 kN), determine the total shortening in a (600 mm) length. Also determine the normal stress under this load. Take the modulus of elasticity to be (100 GPa). Ans.(ô = 0.188 mm) , (o= 31.45 MPa)

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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1-21_Problems
Q:1/ A hollow right-circular cylinder is made of cast iron and has an
outside diameter of (75 mm) and an inside diameter of (60 mm). If the
cylinder is loaded by an axial compressive force of (50 kN), determine the
total shortening in a (600 mm) length. Also determine the normal stress
under this load. Take the modulus of elasticity to be (100 GPa).
Ans.(ô = 0.188 mm) , (o= 31.45 MPa)
Q:2/A square steel bar is (50 mm) on a side and (250 mm) long. It is loaded
by an axial tensile force of (200 kN). If(E= 200 GPa) and (µ= 0.3),
determine the change of volume per unit volume.
(Ans. 0.00016)
Q:3/The bar shown in Fig.(1-22 ) is subjected to a tensile load of (160kN). If
the stress in the middle portion is limited to (150N/mm³), determine the
diameter of middle portion. Find also the length of the middle portion if the
total elongation of the bar is to be (0.2mm). Young's modulus is given as
equal to (2.1*10$ N/mm³).
(Ans. d= 3.68em , L=20.71em)
160 KN
A 6 cm DIA
160 N
6 om DIA
40 cm
Fig.(1-22 )
Q:4/Three equally spaced rods in the same vertical plane support a rigid
bar (AB). Two outer rods are of brass, each (600mm) long and of (25mm)
diameter. The central steel rod is (800mm) long and (30mm) in diameter.
Determine the forces in the bars due to an applied load of (120kN) through
the mid-point of the bar. The bar remains horizontal after the application
of load. Take (Es/E,=2).
(Ans. P, =62.3kN ,P,=28.84kN )
H30 mm
120 KN
-ww o09
ww 009
Transcribed Image Text:1-21_Problems Q:1/ A hollow right-circular cylinder is made of cast iron and has an outside diameter of (75 mm) and an inside diameter of (60 mm). If the cylinder is loaded by an axial compressive force of (50 kN), determine the total shortening in a (600 mm) length. Also determine the normal stress under this load. Take the modulus of elasticity to be (100 GPa). Ans.(ô = 0.188 mm) , (o= 31.45 MPa) Q:2/A square steel bar is (50 mm) on a side and (250 mm) long. It is loaded by an axial tensile force of (200 kN). If(E= 200 GPa) and (µ= 0.3), determine the change of volume per unit volume. (Ans. 0.00016) Q:3/The bar shown in Fig.(1-22 ) is subjected to a tensile load of (160kN). If the stress in the middle portion is limited to (150N/mm³), determine the diameter of middle portion. Find also the length of the middle portion if the total elongation of the bar is to be (0.2mm). Young's modulus is given as equal to (2.1*10$ N/mm³). (Ans. d= 3.68em , L=20.71em) 160 KN A 6 cm DIA 160 N 6 om DIA 40 cm Fig.(1-22 ) Q:4/Three equally spaced rods in the same vertical plane support a rigid bar (AB). Two outer rods are of brass, each (600mm) long and of (25mm) diameter. The central steel rod is (800mm) long and (30mm) in diameter. Determine the forces in the bars due to an applied load of (120kN) through the mid-point of the bar. The bar remains horizontal after the application of load. Take (Es/E,=2). (Ans. P, =62.3kN ,P,=28.84kN ) H30 mm 120 KN -ww o09 ww 009
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