4. The lower ends of the three bars in Fig. 3 are at the same level before the rigid homogenous 28 Mg block is attached. Each steel bar has an area of 600 mm2 and E = 200 GPa. For the bronze bar, the area is 900 mm2 and E = 83 GPa. a) Determine the stress developed in the steel bar. b) Determine the deformation of the bar.
4. The lower ends of the three bars in Fig. 3 are at the same level...
The pin-connected structure shown in Fig. 5 consists of a rigid bar ABCD and two 1,500-mm-long bars. Bar (1) is steel [E=200 GPa] with a cross-sectional area of A1 = 510 mm2. Bar (2) is an aluminium alloy [E-70 GPa] with a cross-sectional area of A2 1,300 mm2. All bars are unstressed before the load P is applied. If a concentrated load of P 200 kN acts on the structure at D determine: (a) the normal stresses in both bars...
Problem 1. Before hanging the weight, W = 90 kN, both the Steel and Bronze rods were stress free as they were connected to rigid but weightless (originally) horizontal bar as shown in the figure. With W, determine (a) Stress in the Steel rod (b) Strain in the bronze rod Bronze L = 3 m A = 1300 mm E = 83 GPa Steel A = 320 mm E = 200 GPa 1m- 2.5 m - 1.5 m w
Three one-meter-long bars with cross-section area A = 1cm2 support a rigid plate of weight W. For steel, E, 200 GPa and S, 400 MPa. Determine the maximum weight the bars can support for three cases: 1m m 1m (i) all three bars are exactly 1m long (ii) the outer bars are exactly 1m long but the middle bar is 0.999m (iii) the outer bars are exactly Im long but the middle bar is 1.001m Three one-meter-long bars with cross-section...
Problem 1 Three one-meter-long bars with cross-section area A1cm2 support a rigid plate of weight I. For steel, E, - 200 GPa and S, 400 MPa. Determine the maximum weight the bars can support for three cases: Im (i) all three bars are exactly Im long (ii) the outer bars are exactly 1m long but the middle bar is 0.999m (iii the outer bars are exactly Im long but the middle bar is 1.001m Problem 1 Three one-meter-long bars with...
Chapter 3, Reserve Problem 122 The rigid bar AC is supported by two axial bars (1) and (2). Both axial bars are made of bronze [E = 100 GPa; a = 18 × 10-mm/mm/°C]. The cross-sectional area of bar (1) is A1 = 236 mm2 and the cross- sectional area of bar (2) is Az = 389 mm2. After load P has been applied and the temperature of the entire assembly has increased by 26°C, the total strain in bar...
as shown in Fig.2. The lengths of two 2. Three bars form an isosceles right triangle, right angle sides are L, which is 1000 mm. The cross section area of the three bars are 1000 mm2. Young's modulus of bars are E-21x10 N/ mnt Please find the global stiffness matrix of these bar element system. If the numbering of the bar nodes changes, does the global stiffness matrix change? (15 %) y 1 (3) (1) (2) 3 2 Fig.2 Bar...
Required information Problem 02.040 - Deformation of links in a simple frame Three steel rods (E = 200 GPa) support a 52-kN load P. Each of the rods AB and CD has a 200-mm2 cross-sectional area, and rod EF has a 625-mm2 cross-sectional area. Neglect the deformation of bar BED. с P 500 mm B D O O E 400 mm F Problem 02.040.a - Deformation of links in a simple frame Determine the change in length of rod EF....
The composite bar is firmly fixed at both ends. The bar is stress-free at 60°F Compute the stress in each material after the 50-kip force 42 in is applied and the temperature is increased to 120°F. Use α-6.5 x 10-6/°F for steel and α-1 2.8 x 10-6/°F for aluminum. At what temperature will the aluminum and steel have stresses of equal magnitude after the 50-kip force is applied? Problem 4(25 Points) The rigid bar ABCD is supported by a pin...
The rigid beam in (Figure 1) is supported by the three suspender bars. Bars AB and EF are made of aluminum and bar CD is made of steel. Part A If each bar has a cross-sectional area of \(480 \mathrm{~mm}^{2}\), determine the maximum value of \(P\) if the allowable stress is \(\left(\sigma_{\text {allow }}\right)_{\text {st }}-190 \mathrm{MPa}\) far the steel and \(\left(\sigma_{\text {allow }}\right)_{\text {al }}-150 \mathrm{MPa}\) for the aluminum. \(E_{\text {st }}-200 \mathrm{GPa}, E_{\text {al }}-70 \mathrm{GPa}\).
The device shown in Fig. 2 aa cons its of a horoontฝ beam Aac wpported by two vertical bars BD and CE Bar CE is pinned at both ends but bar BO is fixed to the foundation at its lower end The distance from A to 8 is 450 mm aned from 8 to C is 225 mm. Dars BD and CE have lengths of 480 mm and 600 m respectively, and their c ros-sectional areas are 1020 mm and...