Change notation Ra to Rb .. i.e. Rb - 118.76 KN
Question 3 (5 marks Determine only the vertical reaction at b for the following structure which...
0 Question 3 a) Using the Force Method, determine the reactions at all supports. In addition to the applied loads, support at A rotates 0.005 radian counterclockwise Given E=200GPa and i=150 x 106 mm! 200 x 109 (20 marks) oda rotation 5 kN/m 25 kNm 10 m 6 m By Figure 3 b) If a spring is connected at point C, determine the force in this spring using the force Method By comparing to the solution in Question 3(a), what...
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...
tatically determinate or indeterminate frame analysis by the stiffness method (45 marks) a) Determine the stiffiness matrix of the frame of problems 16.5 and 16.6 (p. 619). Indicate the degrees-of freedom in all the stiffness matrices. b) D Q4. S (10 marks) etermine all the displacement components at node 2 and all the reactions including the reactions at node 2. Show all calculations. c) (18 marks) of the frame on the compression side showing all the salient values (5 marks)...
The continuous beam ABCD shown in Figure Q2(a) has a flexural rigidity EI = 1000 kNm2. The beam is subjected to a concentrated load at point B and a uniform load from points C to D. (b) The beam ABCD shown in Figure Q2(b) is identical to that in Figure Q2(a), except that the roller support at point is replaced by a linear spring of stiffness K = 500 kN/m and point D settles (downwards) by 6 cm, calculate the...
QUESTION 11 Consider the structure and loading shown then determine the value of vertical reaction at support A? Enter the answer to an accuracy of 0.1% in kN. Given: W-98 kN/m L-8 m
16-5. Determine the structure stiffness matrix K for the 200 GPa, are fixed. Take E and frame. Assume 1-300 105) mm,A 10(10) mm2 for each member. 16-6. Determine the support reactions at the fixed supports D and . Take E-200 GPa,1 300 (10) mm, A 10(10) mm2 for each member. 12 kN/m 2 m 4 m 12 2 m Probs. 16-5/6 16-5. Determine the structure stiffness matrix K for the 200 GPa, are fixed. Take E and frame. Assume 1-300...
3). The stress tensor at a critical point of a structure from an FEA is (120 0 0 0 = 0 -500 0 MPa 0 0 -300 What is the maximum shear stress value at that point? Assume that the structure is made from a brittle grey cast iron. Experimental tests found that the tensile strength for the material is 152 MPa and the compressive strength is 572 MPa. Applying Mohr's criterion for brittle materials, will the structure be safe?...
And please explain what difference does the roller support at B make. Question 1: Stiffness method Figure Q1 shows a steel beam with length 1 m (The modulus of elasticity is E 210GPa) The beam is fixed at A. Joint B is a rigid roller that can only move up and down but not rotate. Furthermore, Joint B is supported by a vertical spring. (a) Compute the stiffness coefficient associated with the vertical displacement at Joint B. (b) Compute the...
A 3 m rigid bar AB is supported with a vertical translational spring at A and a pin at B The bar is subjected to a linearly varying distributed load with maximum intensity g Calculate the vertical deformation of the spring if the spring constant is 700 kN/m. (ans: 21.43 mm) 2. A steel cable with a nominal diameter of 25 mm is used in a construction yard to lift a bridge section weighing 38 kN. The cable has an...
structure design Name 1Pag Question 1 (35 marks) Use the method of virtual work to determine the vertical displacement of joint C of the truss below The cross-sectional area of each member is A 300 mm2 and E- 200 GPa Note 1 GPa -1.0 x 10 kN/m 1 mm2-10 x 10-*m2 3 kN 2 m 2 m 1.5 m EA Set out wour computations as follows (a) Find the reactions at hinge support E and at roller support A b)...