as shown in Fig.2. The lengths of two 2. Three bars form an isosceles right triangle,...
Problem 2 (20 pts): Consider the following structure consisting of a set of bars. Assume the Young's modulus and cross- sectional area of each bar are E = 200 kN/mm², A = 100 mm2. (a) Find the (complete) stiffness matrix of the structure (10 pts) (b) find the displacements of all the three nodes (5 pts) (c) find the reaction force at node B (5 pts) ܠܓܓܓܓܓܓܓ 2000 mm 45°A 10 kN + 20 kn
***IN PYTHON: Scalene triangle: All sides have different lengths Isosceles triangle: Two sides have the same length Equilateral triangle: All sides are equal Write a program to ask for the length of 3 sides a, b and c. Ask for three sides at a time Determine the type of triangle given three sides Handle all kinds of errors - 1. not integers, int() conversion fails 2. not enough args, 3. too many arguments HINT: use the len() function to check...
he lengths of the three sides of a triangle (not necessarily a right triangle) are 3.56 meters, 5.07 meters and 2.09 meters. What is the cosine of the angle opposite the side of length 2.09 meters? cos theta =_________
2. For the pin-jointed truss shown in Figure Q2.1 applied at node 4. The Young's modulus E(GPa) is the same for the three truss vertical downward force P(kN) is a members. The cross sectional area of each of the truss members is indicated below and expressed in terms of a constant A. By using the stiffness method: (a) Compute the reduced stiffness matrix Kg [5 marks [10 marks (b) Calculate the global displacements of node 4 in terms of P,...
A rigid triangular frame is pinned at Cand held by two identical bars at points A and (x connections) Each bar has length 2 = 1 m Young's modulus E= 100 Pa and cross section area. 5 mm. A moment M=1000 N·m is applied at point (1) Is this an indeterminate problem? Why? (10 points) (2) Find the stresses in two bars. (30 points) РОС // D. M
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...
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...
Question 3 The structure shown in Figure Q(3) is a two-bar truss with spring support. Both bars have modulus of elasticity and cross-sectional area of E- 210 GPa and A -5.0 x10 m. Bar one has a length of 5 m and bar two a length of 10 m. The spring stiffness is k -2000 kN/m. CVE 4303(F) Page 2 of 4 Determine (a) the stiffness matrix for each of the three elements (15 marks) (b) the normal stresses in...
2. In hyperbolic geometry, what is the possible range for the degree measure of the base angles of an isosceles triangle with a right angle? Sketch three different such triangles in the Poincare disk model suggesting that the angle measure of the base angle indeed can attain any value in that interval. (15 points) 2. In hyperbolic geometry, what is the possible range for the degree measure of the base angles of an isosceles triangle with a right angle? Sketch...
2. In hyperbolic geometry, what is the possible range for the degree measure of thie base angles of an isosceles triangle with a right angle? Sketch three different such triangles in the Poincare disk model suggesting that the angle measure of the base angle indeed can attain any value in that interval. (15 points) 2. In hyperbolic geometry, what is the possible range for the degree measure of thie base angles of an isosceles triangle with a right angle? Sketch...