A two-step bar with a hollow steel rod, 15 mm in outer diameter and 10 mm in inner diameter and 400 m long, is rigidly attached to solid steel rod of 30 mm in diameter and 600 mm long, as shown in Figure 1. The combination is subjected to three external loads. Given the modulus of steel, Esel is 200 GPa. a) Determine the internal force acting on each of section, with the aid of respective free body diagrams. Also, identify whether the force is tensile or compressive. b) Determine the total change in length of the composite rod. 500KN +300kN + 200kN 300 mm 300 mm 400 mm Figure 1

A two-step bar with a hollow steel rod, 15 mm in outer diameter and 10 mm in inner diameter and 400 m long, is rigidly attached to solid steel rod of 30 mm in diameter and 600 mm long, as shown in Figure 1. The combination is subjected to three external loads. Given the modulus of steel, Esel is 200 GPa. a) Determine the internal force acting on each of section, with the aid of respective free body diagrams. Also, identify whether the force is tensile or compressive. b) Determine the total change in length of the composite rod. 500KN +300kN + 200kN 300 mm 300 mm 400 mm Figure 1

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

In Figure 1.2, the horizontal rigid beam ABCD is supported by vertical bars (1) and (2) and is loaded at points A and D by vertical forces P = 30 kN and Q = 40 kN, respectively. Assume that the dimensions a = 2.5 m, b = 2 m and c = 1.5 m. Determine the internal force of each bar. Answer: A a f₁ = 37.5 kN, f₂ = 32.5 KN L₁ B (1) b L₂ C (2) -X,U D
3. A spring wire with diameter of 6 mm in a circular arc shape was initially set on the horizontal plane. One end is fixed at point B and the other end A is free. The radius of the arc R-80 mm and the center angle of the arc 0=60°. The wire is made of a steel with modulus of elasticity: 200 GPa and Poisson's ratio: 0.29. Considering that F=25 N which is applied vertically downward at A, find the total deflection at A. Hint: I = π (64)/64 = 63.62 mmª. 0 R BX A F
3) The rigid horizontal bar AB is supported by three vertical rods as shown in the figure and carries the load of 110 kN. The system is stress free before the load is applied. After the load was applied, the temperature of all wires is raised by 20°C. Use a = 12x10-6/°C for steel, a = 18x10-6/°C for copper and a = 20x10-6/°C_for brass. Neglecting the weight of the bar AB, determine the location of the 110 kN force in order that AB remains horizontal. copper bar: A=195mm? steel bar: brass bar: A=130mm? A=325mm A D 110 kN Note: copper=110 GPA Brass=97 GPA Steel= 200 GPA 3.00m 2.00m 1.80m 1.20m 1.50m
(a.)The figure below shows a steel rod of 25mm² cross-sectional area. It is loaded at four points K, L M, and N. Assume Esteel = 200GPA. Find the total change in length of the rod due to the four loadings. M 100N 250N 200N 50N 500mm 400mm 1700mm Figure Q.la: Steel rod
A uniform beam, 1.5 metre long, is suspended in a horizontal position by two vertical support rods as shown in the figure below. Rod A has a diameter of 12 mm and manufactured from steel with Esteel = 210 GPa. Rod B has a diameter of 16 mm and is made from copper with Ecopper = 105 GPa. This simply supported beam is to carry a motor vehicle engine and gearbox weighing 5,5 kN. Determine the distance ‘x’ from the left-hand support ‘A’ in order for the beam to remain in a horizontal position. Calculate the stress in each rod due to the applied load. Calculate the movement (extension) of the support wires under this 10 kN load. Will the rods be able to withstand the applied load? Motivate your answer.
I need to solve this question as soon as possible
An aluminum rod is rigidly attached between a steel rod and a bronze rod as shown in the figure below. Axial loads are applied at the positions indicated. Find the maximum value of P that will not exceed a stress in steel of 200 MPa, in aluminum of 115 MPa, or in bronze of 145 MPa. Aluminum A = 400 mm2 Bronze A = 200 mm2 Steel A = 500 mm² P 2P 4P 2.5 m 2.0 m 1.5 m
A steel bar with a circular cross section, AC, is built in at both ends (A and C) and is subjected to a 300N point load at B, 300mm from point A, as shown in the figure below. The bar has a diameter of 8 mm and the material has a Young's modulus of 200GPa. Determine the magnitude of the reaction force at A? O O O O 380 N 150 N Don't Know 210 N 300 N 300mm B 300 N 700mm
The L-shaped rigid bar shown is pin connected at C, welded to a rigid bar AB at point B, and rests on a composite bar at D. Rigid bar AB is attached to two identical rubber (G = 150 MPa) pads with the shown dimensions and having a thickness of 30 mm each. Meanwhile, composite bar DE is made of hollow aluminum (with outer diameter do and inner diameter di, E = 70 GPa) surrounding a solid steel rod (diameter = di, E = 200 GPa). Determine the maximum force P that can be applied to the rigid bar at B if the allowable normal stresses in aluminum and steel are 80 MPa and 200 MPa, respectively and the shear stress in rubber is 30 MPa.Use the following values:Parameters s = 135 mm x = 3.8 m y = 5.5 m do = 60 mm di = 35 mm
A rod is composed of of aluminum and steel section as shown in the figure. If an axial load of 20 kN and the modulus of elasticity for steel and aluminum is 210 GPa and 70 GPa respectively, find the elongation in the steel rod. ... Aluminium, 300mm2 Steel, 200mm? F 3m 2m A 0.48 mm B 2.86 mm 1.43 mm 0.96 mm