2. 20 points: A plate of ductile cast iron [E = 200 GPa, v=0.38, alpha = 5.2x10degC) has a width a = 397 mm, a height b = 266 mm., and a thickness t = 33 mm. As shown in the figure, the plate is constrained between two rigid, perfectly smooth surfaces at an ambient temperature of 40°C. The plate is compressed by a constant normal stress Ox = 250 MPa. Assume that plane-stress conditions exist. Rigid Rigid (a) Determine...
Problem 2: a. For the plane truss shown in Figure 2, determine the nodal displacements, the element forces and stresses, and the support reactions. All elements have E-70 GPa and A-25 cm 100 kN 50 kN 50 kN 4 4 6 Figure 2. Plane Truss Problem 2: a. For the plane truss shown in Figure 2, determine the nodal displacements, the element forces and stresses, and the support reactions. All elements have E-70 GPa and A-25 cm 100 kN 50...
show the full answer clearly, please. Thank you :) (a) & (c) 6.14 Deterimine the nodal displacements and the elemient stresses, including principal stresses, cue to the loads shown for the thin plates in Figue PG-14 on the next page. Use E= 210 GPa, v= 0.30, and t= 5 mm. Assume plane stress conditions apply. The recoumended discretized plates are shown in the figures. eorm 282 4 317 250 40 EV 400 um La) 250mm 30 500mm 40KN La NO.:.....
2. The plate shown in the figure is made of steel with E-210 GPa andv 0.33. Assume plane stress (t,,-t-o, =0). a) If σ、x-100 MPa、determine Ihe magnitude ofo, such that the width b-400 mm does not change. b) Determine the change in length of the diagonals of the rectangle. c) 6 points 12 points Assuming the thickness to be 10 mm, calculate the change in the thickness of the member. 7 points Sy b 400 mm 600mm
Determine the nodal displacements and the element stresses. E = 105 GPa, v = 0.3, and t = 5 mm. You don’t have to calculate everything manually, but can write a code to get some input from you and find the stiffness matrices for instance. Please use CST 400 mm 400 mm 30 kN 400 mm 400 mm 30 kN
0.10m Assuming the surface of an Aluminum (E-70 Gpa and v = 0.30) cylindrical pressure vessel is in a state of plain stress, with an internal gas pressure of P - 8 MPa. Determine the strain in the z-direction (z) if the "hoop" stress and "longitudinal" stress of the vessel are defined as: OLA P-r Pr and ơL--2t if the radius of the pressure vessel is r-0.04 m and the wall thickness is t 0.004 mm. Note: the image to...
6. A thin aluminum alloy [E = 69 GPa; v = 0.33; a = 23.6x10-6°C] plate with dimensions a = 1,700 mm and b = 1,000 mm is set in a rigid frictionless cavity as shown in the figure. At room temperature, there is a gap of c = 2 mm between the rigid cavity and three sides of the plate. The plate is not constrained in the z direction. After the temperature of the plate has been raised by...
4.A thin-walled cylindrical column carries a weightless arch and is loaded as shown in Figure 4. The column has an internal diameter of 250 mm with a thickness of 2 mm Given: E-200 GPa and 0.3 The answer to each part of the question is to be used for subsequent parts (a)Determine the stresses on the outer surface of the cylinder at points A and B due to (8 marks) (b) Determine the minimum internal pressure p required if the...
The concrete [E = 29 GPa] pier shown in the figure is reinforced by four steel [E = 200 GPa] reinforcing rods, each having a diameter of 19 mm. Assume P = 680 kN, L = 2.10 m, and a = 275 mm. If the pier is subjected to an axial load of 680 kN, determine (a) the normal stress (positive if tensile and negative if compressive) in the concrete and in the steel reinforcing rods. (b) the deflection of...
Consider the bar in Fig.3.7 loaded as shown. Determine the nodal displacements, element stresses, and support reactions. Solve this problem by hand calculation, adopting the elim- ination method for handling boundary conditions. Verify your results using program FEMID. 400 mm2 250 mm2 P-300 kN > X Consider the bar in Fig.3.7 loaded as shown. Determine the nodal displacements, element stresses, and support reactions. Solve this problem by hand calculation, adopting the elim- ination method for handling boundary conditions. Verify your...