A tri-metallic bar is uniformly compressed by an axial force P = 40 kN applied through a rigid end plate (see figure). The bar consists of a circular steel core surrounded by a brass and copper tubes. The steel core has a diameter of 30 mm, the brass tube has outer diameter of 45 mm, and the copper tube has outer diameter of 60 mm. the corresponding moduli of elasticity are E, = 210 GPa, E, = 100 GPa, and E, = 120 GPa. P= 40 kN Copper tube Brass tube Steel core 30 mm 45 mm 60 mm 1. Calculate the compressive stress in the steel core in MPa due to the force P. А. 25.1 В. 28.3 С. 22.4 D. 21.8 2. Calculate the compressive stress in the brass tube in MPa. C. 9.8 В. 8.2 Calculate the compressive stress in the copper tube in MPa. В. 14.2 А. 7.9 D. 10.4 3. A. 12.5 С. 16,4 D. 17,8 O 1A O 18 O 10 O 10 O 2A O 28 O 20 O 20 O 3A O 38 O 30 O 3D

A tri-metallic bar is uniformly compressed by an axial force P = 40 kN applied through a rigid end plate (see figure). The bar consists of a circular steel core surrounded by a brass and copper tubes. The steel core has a diameter of 30 mm, the brass tube has outer diameter of 45 mm, and the copper tube has outer diameter of 60 mm. the corresponding moduli of elasticity are E, = 210 GPa, E, = 100 GPa, and E, = 120 GPa. P= 40 kN Copper tube Brass tube Steel core 30 mm 45 mm 60 mm 1. Calculate the compressive stress in the steel core in MPa due to the force P. А. 25.1 В. 28.3 С. 22.4 D. 21.8 2. Calculate the compressive stress in the brass tube in MPa. C. 9.8 В. 8.2 Calculate the compressive stress in the copper tube in MPa. В. 14.2 А. 7.9 D. 10.4 3. A. 12.5 С. 16,4 D. 17,8 O 1A O 18 O 10 O 10 O 2A O 28 O 20 O 20 O 3A O 38 O 30 O 3D

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Stress analysis
The stress–strain relation shown in Figure was obtained during the tensile test of an aluminum alloy specimen. Determine the the maximum working stress to be applied to this material if a factor of safety of 1.5 is used?
Solve the following problem and SHOW YOUR COMPLETE SOLUTIONS. ILLUSTRATE A FREE BODY DIAGRAM FOR BETTER UNDERSTANDING
An aluminum rod is rigidly attached between a steel rod and a bronze rod as shown. Axial loads are applied at the positions indicated. Find the maximum value of P in kN that will not exceed a stress in steel of 140 MPa, in aluminum of 90 MPa, or in bronze of 100 MPa
An aluminum alloy rod has a circular cross section with a diameter of 7mm. The rod is subjected to a tensile load of 5kN. Assume that the material is in the elastic region and E = 69 GPa. If Poisson's Ratio is 0.38, what will be the lateral strain? E=6/8 v= -€(lateral)/e(axial) V ominorbooomes
The stress-strain diagram for a bar of steel alloy is shown. Determine: a) The modulus of Elasticity for the material b) The proportional limit c) The ultimate stress Show a complete solution
A 20 m long steel rod is at a temperature of 20°C. The rod is heated so that temperature rises by 50°C. If rod is allowed to expand by 14 mm, what will be the stress induced in rod? Take E = 200 GPa and a = 12 × 10-6/°C. (a) 20 MPa (c) 68 MPa (b) 35 MPa (d) None of these
A liquid compressed in a container has a volume of 1 liter at a pressure of 1 MPa and a volume of 0.995 liters at a pressure of 2 MPa. The bulk modulus of elasticity of the liquid is ans. 200MPa
Show complete solution please.
Time len A material has the stress-strain behavior shown in the Figure below. Calculate the toughness (T) of this material. given that S1=195 Mpa; S2=243.75 Mpa; El=0.19; E2=0.38 E1 Strain E2 Stress - Strain diagram of a metal alloy OA.T= 18.52 Mpa O B.T= 92.62 Mpa O C.T= 37.05 Mpa O D.T= 60.21 Mpa Stress (Mpa) 3
An extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 500 mm. The cross-sectional dimensions of the beam are b₁ = 38 mm, d₁ = 82 mm, b₂ = 23 mm, d₂ = 23 mm, and a = 7.5 mm. For this material, the allowable tensile bending stress is 14 MPa, and the allowable compressive bending stress is 12 MPa. Determine the largest moment M that can be applied as shown to the beam. b₂ a M d₁ B L N-m | A Answer: M= d₂ b₁
For the figure shown, if the stress in steel is 75 MPa, then the stress in the copper is Copper rod E=120 GPa Steel tube E=200 GPa 55 MPa O 35 MPa O 65 MPa O 45 MPa O 25 MPa O