Problem 1 Given: 5kN/m Skym 40KN D 10m 10m 5m 103 The support at A is fixed, the supports. at C and E are rollers, and there are internal hinges at B and D. Find: a) The reactions at the supports b) Develop the equations describing the Variation in shear and moment. c) Sketch the shear and moment diagrams of each member

Solve it having a 3 decimal places answer.

P Part 2: Solve for the reactions in terms of the loads, shear and moment at dis- tance "x" from the support, how the shear and moment diagram will look like, and the maximum moment togeth- RB RA er with its location. X Reactions X Shear and Moment Diagram RA = RB = X Shear at distance "x" from A at x - P Vy = RA – P =-P = V-d X Moment at distance "x" from A at x 2 M, = R,(x) – P M-d

2 At the end D. Find the effect of the 2K reaction: the effect on the structure in Figure (2) is the horizontal force N The joint in C and the reaction in the rolling bolster A on the DA member, neglect the weight of the DA members and .CB 2KN dabe B 13 Im Figure (2) Im Im

2) Determine the forces in members BDE and ABC of the pin-joined structure shown in the figure. 20kN B D 3m 60 KN E 3m 1

1. Given: A structure shown below Find: (1) Determine the magnitudes and locations of the two distributed loadings. In other words, determine the magnitude and location of the loading between A and C, and those of the loading between D and B. (2) For the member DEB, (a) take the moment at B and find the reaction at E and (b) then find By by either Fy= 0, or EMp = 0. (Recall that support conditions at B and E are rollers, so there are no reactions in x-direction.) (3) For the whole structure, 3 unknown forces and moment at A (Ax, Ay and Ma) are the only unknowns. Determine those 3 unknowns at A. 900 N/m 900 N/m B A C D 2E - 3 m 3 m - 4 m - 3 m3 m-

A rigid beam loaded with negligible mass is pinned at Band is supported by two identical rods, except for thelength. SHOW FBD AND DEFORMATIONA) Determine the force in rod CB) Determine the force in rod D

a plate is supported by rods a and b as shown. a 500-lb force f1, and an 800-lb force f2 are applied to the plate through a smooth pin. If rod a breaks, determine the magnitude of force fb and the angle of inclination of rod b with respect to the x-axis if the resultant r of the three remaining forces equals zero.

The rigid truss supports the loads shown. (Assume that the +x-axis is to the right and the +y-axis is up along the page.) Find the reactions in kips the pin A and roller D exert on the truss. All concentrated loads act on the pins joining the truss members. Magnitude and Direction Magnitude in Kips Ax - ? Ay- ?

B -1→→+1 60° L-FL→ G F с D 50 KN 50 kN E 50 kN For the truss shown in the above figure, the force in member AC is