PROBLEM 17: The resultant of the three forces shown is the force R-200k lb. Determine P1, P₂, and P₂. P₁ 12 in. 15 in --D 20 in 32 in.

350 mm 25 mm 40 mm Q11. Two cylindrical rods, one of steel and the other of brass, are joined at C and restrained by rigid supports at A and E. For the loading shown and knowing that E, = 200 GPa and E, = 105 GPa, determine а. the reactions at A and E. b. the deflection of point C. Dimensions in mm 180- 100 -120-- 100 Cl DI E Steel B Brass 60 kN 40 kN 40-mm diam. 30-mm diam. pla 6 k Q12. In a standard tensile test of a steel rod of 22-mm diameter is subjected to a tension force of 75 kN. Knowing that v = 0.3 and E = 200 GPa, determine the elongation of the rod in a 200-mm gage length. b. the change in diameter of the rod. dec mm mod a. mate

Replace the force system by an (a) equivalent resultant force and (b) couple moment at O. Take F3 = F3(-.15i-.2j.3k). F3 is 200. Express in cartesian and scalar form

Question I The frame in Figure I has a fixed support at D and pinned support at A. The frame has a constant El. Use the method of flexibility coefficient and compute the: a) Flexibility coefficients b) Compatibility equations c) Restraining bending moment at the support A Note: Use the support at D as the redundant 2 kN/m B 40 kN E D 6 m Figure I 4.5 m | 3m 3m + A

A rigid bar ABCD is hinged at point B and supported by two springs at A and D. The spring at A and D have stiffness of 12 N/m and 30 N/m, respectively. A load P acts at point C. If the angle of rotation of bar is 11.31°, determine the value of load P. A В 2 m 2 m 2 m A. 105.6 N B. 52.8 N C. 63.4 N D. 74 N CE

Statics of Rigid Bodies (Round off to two (2) decimal places. Include negative sign (-) if the answer is negative.) 2. The 13 kips force F acting on the simply supported beam. Determine: y component of F

Q3. A beam is subjected to the variable loading shown. Calculate the support reactions at A and B. w 2400 N/m | w = wo-kx³ 6m 1200 N/m 111x B

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42 52,36 gad/sec 2. A rotating motor weighting 3 ton (mass) is fixed in the middle of the two simple beams as shown in Figure 2. Each beam length L = 8m, motor runs at I = 2₁5 x108mm 4, and E = 2000, 000 Mpa The and produces a force of nokN at this speed. Assume the beams are massless. (1) Compute the maximum displacement X(steady-state displacement) due to the dynamic load When dumping ratio (E) is 2 (2) Determine the damping ratio (5) required to reduce the displacement form (1) to half Dmax= PL3 48E1 A Rotating f 14/2 4121 motor 42 Figurez