2005 Pearson Education South Asia Pte Ltd

TUTORIAL-1 : UNIAXIAL LOAD

1

PROBLEM-1

1 m

P

A composite A-36 steel bar shown in the figure has 2

segments, AB and BC. Cross-sectional area of AB is

500 mm2 and BC is 400 mm2. The Young’s modulus of

the steel bar is 210 GPa. The bar is subjected to an

axial force P = 20 kN. Determine:

1) Displacement of point C relative to A.

2) Normal strain in each segment.

3) Normal stress in each segment.

1.25 m

A

B

C

2005 Pearson Education South Asia Pte Ltd

TUTORIAL-1 : UNIAXIAL LOAD

2

PROBLEM-2

A steel bar shown in the figure has 2 segments, AB and BC. Cross-

sectional area of each segment is 500 mm2.The Young’s modulus of

the steel bar is 210 GPa. The bar is subjected to two axial forces;

P1 = 10 kN is acting at point A and P2 = 15 kN is acting at point B.

Determine:

1) Displacement of point A relative to C.

2) Normal strain in each segment.

3) Normal stress in each segment.

2005 Pearson Education South Asia Pte Ltd

TUTORIAL-1 : UNIAXIAL LOAD

3

PROBLEM-3

Composite A-36 steel bar shown made from two segments AB and BD. Area AAB = 600 mm2

and ABD = 1200 mm2. Young’s modulus is 210

GPa.

Determine:

1) Displacement of end A relative to D

2) Displacement of B relative to D.

3) Stress and strain in each segment.

2005 Pearson Education South Asia Pte Ltd

TUTORIAL-1 : UNIAXIAL LOAD

4

PROBLEM-4

The hanger assembly is used to

support a distributed loading of

w=16kN/m. Determine the average

stress in the 12-mm-diameter bolt

at A and the average tensile stress

in rod AB, which has a diameter of

15 mm. If the yield shear stress for

the bolt is ty = 180 MPa, and the

yield tensile stress for the rod is

sy = 275 MPa, determine factor

of safety with respect to yielding in

each case.

1 m

4/3 m 2/3 m

w

A

B

C

2005 Pearson Education South Asia Pte Ltd

TUTORIAL-1 : UNIAXIAL LOAD

5

The assembly consists of three titanium rods and

a rigid bar AC. The cross-sectional area of each rod

is given in the figure. If a force of 30 kN is applied to

the ring F, determine the horizontal displacement of

point F. E = 121 GPa.

PROBLEM-5

2005 Pearson Education South Asia Pte Ltd

TUTORIAL-1 : UNIAXIAL LOAD

6

PROBLEM-6

The assembly shown in the figure consists of an aluminum tube AB

having a cross-sectional of 400 mm2. A steel rod having a diameter of

10 mm is attached to a rigid collar and passes through the tube. If a

tensile load of 80 kN is applied to the rod, determine the displacement

of the end C of the rod. Take Est = 200 GPa and Eal = 70 GPa.

2005 Pearson Education South Asia Pte Ltd

TUTORIAL-1 : UNIAXIAL LOAD

7

PROBLEM-7

1 m 1 m

Aluminum rodSteel rod

The assembly shown in the figure consists of a steel rod BC and an

aluminum rod CD. The cross-sectional of aluminum rod 900 mm2 and

for the steel rod is 400 mm2. A force P = 20 kN is applied to the rod at

C. If Est = 210 GPa and Eal = 70 GPa, determine:

1. Reaction force at B and D, respectively

2. Displacement of point C.

3. Stress in each rod.