A long rectangular copper bar under a tensile load P hangs from a pin that is supported by two steel posts as shown in figure below. The copper bar has a length of 2.0 m, a rectangular cross section of 20 mm x 200 mm, and a modulus of elasticity Ecu = 100 GPa. Each steel post has a height of 0.5 m, a rectangular cross section of 20 mm x 250 mm, and a modulus of elasticity Es = 200 GPa. Steel post A Copper- bar a.) Determine the downward displacement d of the lower end of the copper bar with respect to the base support of the steel post at point A due to a load P = 150 kN. (20 marks) b.) What is the maximum permissible load Pmax if the displacement d is limited to 1.0 mm? (5 marks)

A long rectangular copper bar under a tensile load P hangs from a pin that is supported by two steel posts as shown in figure below. The copper bar has a length of 2.0 m, a rectangular cross section of 20 mm x 200 mm, and a modulus of elasticity Ecu = 100 GPa. Each steel post has a height of 0.5 m, a rectangular cross section of 20 mm x 250 mm, and a modulus of elasticity Es = 200 GPa. Steel post A Copper- bar a.) Determine the downward displacement d of the lower end of the copper bar with respect to the base support of the steel post at point A due to a load P = 150 kN. (20 marks) b.) What is the maximum permissible load Pmax if the displacement d is limited to 1.0 mm? (5 marks)

Steel Design (Activate Learning with these NEW titles from Engineering!)

6th Edition

ISBN:9781337094740

Author:Segui, William T.

Publisher:Segui, William T.

Chapter1: Introduction

Section: Chapter Questions

Problem 1.5.6P: The data in Table 1.5.3 were obtained from a tensile test of a metal specimen with a rectangular...

See similar textbooks

Similar questions

An aluminum rod is rigidly attached between a steel rod and a bronze as shown. Axial loads are applied at the positions indicated. Find the stress of each rod in MPa. Steel Aluminum Bronze A- 500mm A = 400mm? A- 200mm 40KN 10KN 20KN 1.5m 2.5m 2.0m Determine the change in length of steel rod having a length of 800mm and a diameter of 6.5mm. The rod is subjected to a force P equal to 110KN. Young's Modulus is 200GPA Compute normal strain of the rod
2.3-7 A steel bar 2.4 m long has a circular cross section of diameter d, = 20 mm over one-half of its length and diam- eter d, = 12 mm over the other half (see figure part a). The modulus of elasticity is E = 205 GPa. (a) How much will the bar elongate under a tensile %3D %3D load P = 22 kN?
A 4.8ft-long steel wire of 1/4in-diameter is subjected to a 750lb-Tensile load. Knowing that E=29x10^6psi, determine (a) the elongation of the wire, and (b) the corresponding normal stress.
q7 A steel bar 2 m long, 20 mm wide and 15 mm thick is subjected to a tensile load of 30 kN. If Poisson's ratio is 0.25 and Young's modulus is 200 GPa, an increase in volume will be (b) 150 mm3 (d) 130 mm3 (a) 160 mm3 (c) 140 mm3
The failure stress of a homogeneous steel bar having a diameter of 10 mm is 250 MPa. Using a factor of safety of 2.0, calculate the maximum load in N that the bar can support. A 12500*pi B 6250*pi 3125*pi 1563*pi
The failure stress of a homogeneous steel bar having a diameter of 10 mm is 250 MPa. Using a factor of safety of 2.0, calculate the maximum load in N that the bar can support. A 12500*pi В) 6250*pi C) 3125*pi 1563*pi
A rod is composed of an aluminum section rigidly attached between steel and bronze sections, as shown in the figure. Axial loads are applied at the positions indicated. If P 4000 Ib and the cross-sectional area of the rod is 1.0 sq.in. What is %3D the stress in the bronze? (in ksi) Note: indicate sign (no sign means positive/tenslon) 4P Steel Bronze Aluminum 2 ft 3 ft 2.5 ft
Q.2 The bar is made of an aluminium alloy having a stress-strain diagram that can be approximated by the straight line segment shown. Assuming that this diagram is the same for both tension and compression, determine the moment the bar will support if the maximum strain at the top and bottom fibers of the beam is E max = 0.05. 630 560 420 (MPa) 0.006 0.025 0.05 100mm M € (mm/mm) 75mm
Situation 2 For the assembly shown, determine the stress in each of the two vertical rods if the temperature rises 40°C after the load P=50 KN is applied. Neglect the deformation and the mass of the horizontal bar AB. Compute the vertical movement under the load. Steel Aluminum E=200 GPa E=70 GPa L-4m A=300 mm? a-11.7x10*/°C L-3m A=900 mm a=23x10“ /°C 3 m 3 m 3 m Situation 3
An aluminum rod is rigidly attached between a steel rod and a bronze as shown. Axial loads are applied at the positions indicated. Find the stress of each rod in MPa. Steel Aluminum Bronze A- 500mm? A = 400mm? A - 200mm 40KN 10KN 20KN 2.5m 2.0m 1.5m
The light rigid bar ABCD shown in the × figure is pinned at B and connected to two vertical rods. Assuming that the bar was initially horizontal and the rods stress-free and load P = 20 kips is applied. 4 ft Aluminum L = 4ft A = 0.75 in² E = 10 x 106 psi Steel L = 3ft A = 0.5 in² E = 29 x 106 psi k2A2A A. What is the stress experienced by aluminum rod B. What is the stress experienced by steel rod. C. What is the resulting deformation on the aluminum rod.
Q # 4: An aluminum rod is rigidly attached between a steel rod and a bronze rod as shown in Figure. Axial loads are applied at the positions indicated. The value of P is limited to 20 KN in bronze, 72 KN in aluminum and 28 KN in steel Find the area of each section that will not exceed a stress in steel of 280 MPa, in aluminum of 180 MPa, or in bronze of 200 MPa. CLO -2 Steel Aluminum Bronze 2P 4P 2.5 2.0 1.5