In this question we have to find the horihontal deflection at C
Using Castigliano’s second theorem (Energy method)
Placement of imaginary force F The force F is placed at joint C, where the horizontal deflection is desired, as shown in Figure
Member axial forces.
Compute support reactions and obtain member-axial forces in terms of the imaginary force F. Member-axial forces are determined by using the method of joint. and to find the horizontal deflection at F, compute the partial derivatives and apply Castigliano’s equation.
A symmetric truss system is subjected to a concentrated vertical force P at joint B as...
Exercise 9.48 When the truss is subjected to the vertical force F, Joint A moves a distance v = 0.3 m vertically and a distance 0.1 m horizontally. If the extensional strain eaB in the direction parallel to member AB is uniform throughout the length of the member, what is EAB? 60° 2 m il F P9.48
Q1 The pin-jointed wood truss shown in Figure Q1a is subjected to a point load P 24 kN at joint B a) Show that the truss is statically determinant. Indicate zero force members. Determine the force in members BC, CF, GF of the truss [10 marks] b) The truss is made of wooden joists (Young modulus E 10 GPa) with a rectangular cross-section having dimensions of 47mm × 150mm. The vertical displacement of joint B is measured to be 10...
Estimate the redundant force in the truss member BC as shown in the following FIGURE. The truss is subjected to a vertical load P as 50 kN. Members AB, AC, CD, and BD are 5 m long. The cross-sectional area of all members is constant. The support at A is the pin support and the support at B is the roller support. P = 50 kN Ан, B Av Ву
The cross-sectional area of each member of the truss shown in the figure is 4 = 400 mm and E = 200 GPa. (a) Determine the vertical displacement of joint Cif a 4-KN force is applied to the truss at C. (b) If no loads act on the truss, what would be the vertical displacement of joint C if member AB were 5 mm too short? (c) If 4 kN force and fabrication error are both accounted, what would be...
Use the method of Virtual Work and compute the vertical and horizontal displacement of joint B of the truss. Each steel member has a cross-sectional area of 300mm^2. E=200GPa
P17.092 Incorrect Compute the vertical displacement Δο of joint D for the truss in the figure. Assume that each member has a cross sectional area of A 15s in 2 and an elastic modul ofE-30 500 ksi The loads acting on the truss are P 18 kips and Q 31 kips. Employ Castigliano's second theorem. The vertical displacement Δο is positive if upward and negative if downward. Assume that a-23 ft, b = 10ft,and c = 23 ft. よ L....
1. A simple truss structure is given in iure I below, joint A is commected to simple pin support and Joint G is resting on roller support. Knowing that external horizontal force of 100kN acts on joint B, and vertical forces of 150KN and 50kN are acting on joint D and respectively. Determine; (a) The reaction forces at supports A and B. (3 marks) (b) Forces carmed by members AB, AD, BC, BD, CD and CE, and indicate if the...
AB length is 4000mm AD length is 3000mm A pin jointed frame ABCD is supported by a pinned support at A, a roller at B and is subjected to the loading indicated in Figure Q1. All members have circular cross-section and all are made of steel materials with same cross-section. Determine the support reactions at A and B Determine all the member forces Find out the horizontal displacement at point C using a table template as shown in Table Q1....
15 m B- Question 3: Each member of the truss shown is made of steel (E- 2 1 0 GPa ) and has a cross-sectional area of A If you know that the joint E subjected to horizontal load 16-kN Determine: .The horizontal displacement of point E . The vertical displacement of point C. 400 mm2 0.8m 16 KN 15 m B- Question 3: Each member of the truss shown is made of steel (E- 2 1 0 GPa )...
SAN4701 JAN/FEB 2015 QUESTION 1 The truss shown in Figure 1 is hinged at C, B and D It is acted upon at node A by a vertically downward force of 3 kN and a honzontal force of 5 kN as shown in Figure 1 Use the method of strffness matrix and analyse for the following (a) Displacement at node A (16) (b) Reaction at the supports (c) Member forces (15) EA 300 x 103 kN and is constant for...