Use the stiffness method to determine the slope at each joint. EI = 3(103) kN.m2. (25%)...
Determine the slope and displacement at point C. Use double integration method. Note : EI is constant Please, check the answer: 12 kN/m B 2 m 4.67 kN.m E $21. & 1525 kNm
Q.2.[40 pts] For the frame shown, use Slope-deflection method to determine the end-moments of each member only. Support A is fixed. Support C is pin. 10 KN 12 kN/m C 71 B 2 EI 3 m 2E1 M AB = FEM AB + (202 + 0g - 34 ap) L 2E1 = FEM + (@A + 20g – 34 AB) L ЗЕІ 40 KN M BA BA 3 m A 6 m
Week 7. Question 1: Use the stiffness method to determine the horizontal and vertical displacements at joint A. For all members, E-206.8 GPa and A - 1290 mm? Take a - 8 mandb-6.1 m B 2 انها 160 kN Solve the problem by following these steps Part 1) Calculate the stiffness matrix of each member in the global coordinate system. Check kna (the value at the second column and second row) in each member stiffness matrix a) Member 1: ky...
By stiffness method : determine the displacements at Joint B and at Joint C in the three-span beam shown in the figure below. The flexural rigidity of the beam is EI and is constant along the length of the beam. Note that L1 = L2 = L3 = L P1 = P2 = P3 = P M = PL wL = P Also, find the reactions at Joint A. い12 8 い12 8
Use the stiffness method to determine the horizontal and vertical components of the displacement at Joints C and D. For all bars, E = 206.8 GPa and A = 1290 mm². Take i = 70 kN and j = 80 kN. 3.66 m 4.88 m Joint C: a) Az = b) 4y = Joint D: c) 4, = d) 4, =
For the frame shown. use the slope-deflection method to (a) Determine the end moments of each member and reactions at supports (b) Draw the quantitative bending moment diagram. and also draw the qualitative deflected shape of the entire frame. 10 kN 12 kN/m 2EI 3 m 40 KN 3 m 6 m
Determine the slope at A of the simply supported beam. Use Moment-Area method. EI is constant. Problem 3: Determine the slope at A of the simply supported beam. Use Moment-Area method. El is constant. 2L 3
Assignment: 25 Marks Using the general stiffness method, calculate the deflection of the free end of the cantilever beam shown in the figure below. Use the slope deflection equations to prove that the moment at the support = 2WL2 and the moment at the position where stiffness changes = 0.5 wite EI Hint: constrain the freedom of movement as indicated 17wL 16 EI Answer: Assignment: 25 Marks Using the general stiffness method, calculate the deflection of the free end of...
2. Use the Method of Joint, and determine the force in each member of the roof truss. State if the members are in tension or compression. Assume A is a pin and D is a roller support. (AB:-28.9kN; AE:14.4kN; BE:5.77kN; BC:-17.3kN; CE:-5.77KN; ED:20.2kN; CD:-40.4kN) 40 KN 20 KN 4 m D
For a constant EI (use EI as a constant in your answer): a. Determine the reactions RA and RC and draw the shear force diagram (SFD) and the bending moment diagram (BMD). See image below. b. Determine the slope at A (θA) and the deflection at B (ΔB) using the Moment-Area Method. c. Determine the equation of the elastic curve, y(x), using the Integration Method. 16 kN/m B 4 m 4 m SFD BMD