1.  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 mm 2 and BC is 400 mm 2. 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

2.  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 mm 2.The Young’s modulus of the steel bar is 210 GPa. The bar is subjected to two axial forces; P 1 = 10 kN is acting at point A and P 2 = 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.

3.  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 A AB = 600 mm 2 and A BD = 1200 mm 2. 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.

4.  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  y = 180 MPa, and the yield tensile stress for the rod is  y = 275 MPa, determine factor of safety with respect to yielding in each case. 1 m 4/3 m2/3 m w A B C

5.  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

6.  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 mm 2. 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 E st = 200 GPa and E al = 70 GPa.

7.  2005 Pearson Education South Asia Pte Ltd TUTORIAL-1 : UNIAXIAL LOAD 7 PROBLEM-7 1 m Aluminum rod Steel 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 mm 2 and for the steel rod is 400 mm 2. A force P = 20 kN is applied to the rod at C. If E st = 210 GPa and E al = 70 GPa, determine: 1.Reaction force at B and D, respectively 2.Displacement of point C. 3.Stress in each rod.