Chapter 10.6, Problem 58P

The stepped rod is made up of two different materials A and B of lengths 80 cm and 1.2 m respectively. The diameters of materials B and A are 2.5 and 3.5 cm respectively. The modulus of elasticity of materials A and B are 250 and 150 GPa respectively. The elongation of the rod is the same for both the materials. A total tensile load of 40 kN is applied to both the materials A and B together. Calculate the load in each material.

3. Direct tension indicators are sometimes used instead of torque wrenches to ensure that a bolt has a prescribed tension when used for connections. If a nut on the bolt is tightened so that the six 3-mm high heads of the indicator are strained 0.1 mm/mm, and leave a contact area on each head of 1.5 mm², determine the tension in the bolt shank. The stress-strain diagram of the indicator material (and bolt) is shown. 3 mm 1 σ (MPa) 600 450 0.0015 0.3 € (mm/mm)

A bar has a length of 200 mm and cross-sectional area of 7500 mm2. Determine the modulus ofelasticity of the material if it is subjected to an axial tensile load of 50 kN and stretches 0.075 mm.The material has linear-elastic behavior.

A 5-kN tensile load is applied to a test coupon made from 1.6-mm flat steel plate (E = 200 GPa, v = 0.30). Determine the change in volume of the 50-mm gage length segment AB by computing the dilatation of the material.

A 100-mm long rod has a diameter of 15 mm. If an axial tensile load of 165 kN is applied, determine its change in length. Assume linear-elastic behavior with E = 200 GPa.

A 5-kN tensile load is applied to a test coupon made from 1.6-mm flat steel plate (E = 200 GPa, v = 0.30).   Determine the change in volume of the 50-mm gage lenght segment AB by computing the dilatation of the material. Determine the change in volume of the 50-mm gage length segment AB by subtracting the original volume of portion AB from its final volume.

Two rods, A and B. of equal free length are elastic. Both hang vertically 0.6m apart and support a rigid bar horizontally. The bar remains horizontal when a vertical load of 60 KN is applied to the bar 0.2m from A. If the stress in A is 100 MPa, determine the stress in B and the cross-sectional areas of the two rods: Ea = 200 GPa, EB = 130 GPa.

The pin-connected assembly consists of aluminum rods (1) and (2) and steel rod (3). The aluminum rods each have a diameter of 14 mm and an elastic modulus of E = 70 GPa. The steel rod has a diameter of 15 mm and an elastic modulus of E= 180 GPa. Assume a = 3.0 m, b = 1.6 m, and c = 1.0 m. What is the magnitude of load P that is necessary to displace point A 7 mm to the left? A Answer: P = i (3) eTextbook and Media Save for Later B b D kN Attempts: 0 of 5 used Submit Answer

The pin-connected assembly consists of aluminum rods (1) and (2) and steel rod (3). The aluminum rods each have a diameter of 14 mm and an elastic modulus of E = 70 GPa. The steel rod has a diameter of 15 mm and an elastic modulus of E= 180 GPa. Assume a = 3.0 m, b = 1.6 m, and c = 1.0 m. What is the magnitude of load P that is necessary to displace point A 7mm to the left? A Answer: P = i (3) eTextbook and Media Save for Later B b D kN Attempts: 0 of 5 used Submit Answer