Determine the horizontal displacement of point D in the system shown in the figure using Castigliano's Method. L = 2m Note: Consider only the effect of the bending moment. Parameter: P = 9 kN Horizontal displacement: D,horizontal PL/8 D P 2E1 L/2 ¡EI B EI 4P L L
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- Repeat Problem 6.2-17 but now use a transformed-section approach.Consider the following spring system. m, C2 C3 with spring constants c = |2 m2 Assume down is the positive direction. Write the stiffness matrix K = %3D 23 • Compute the displacements caused by the external forces f = -21 Displacement =Design a 4-bar linkage to carry the body in Figure 1 through the two positions P1 and P2 at the angles shown in the figure. Use analytical synthesis with the free choice values z = 1.075, p = 210°, B-27° for left side and s = 1.24, w= 74°, 2=-40° for right side. Y 1.236 P2 147.5° 210° 2.138 Py Figure 1 X
- 5Find the lengh and divection for (uxv) X(vxu) 179 for the folloning @ u=2i+3j , v= -itj O u=2i-2j +4k,v= -i+j-2k ® u= irj-K, v= o O u= -gi -2j-4k, v= 2i+2j+k O u= i-tj+k, v= i+j+2kCalculate the DOF for the mechanisms below: (1) (2) 0₂ 0₂ 2 0₁ 0₁ 06 S 06 X X2) Block 4 slides in a slot in the fixed piece 1. Axis Q₂ of crank 2 is fixed on 1. Q₂₂A = 1 1/2 in., and AB = 4/1/2 Draw the mechanism, assuming limen- sions for 1, if desired, or use center lines only. Draw the four-bar linkage for this mechanism, properly rotate the linkage Q₂ ABQ400; Name each link, and show the finite and infinite cranks. Frind graphically the two extreme positions of 13, The axis of the pin by which link 3 is attached to the block 4.. Dimension the length of the stroke of B. Ans. 3& in. for scale 1:1
- Consider the following spring system. 41 with spring constants c = 4 C2 4 Assume down is the positive direction. Write the stiffness matrix K = -24 Compute the displacements caused by the external forces f = 16 Displacement =A pinjointed fourbar linkage is shown in the figure below. The link lengths are L1 = 7.8 in., L2 = 2.9 in., L3 = 7.25 in. and L4= 3.5 in. Using the current position, 02-100°, the position analysis has determined that 04 = 214.25°. Currently, link 2 is traveling at 5.50 rad/s CCW Lep B. Figure 6.7 Four-bar linkage acceleration analysis The angular velocities of link 3 w3 and and link 4 Wa are: Select one: O a. w3 = 3.589 rad/s, Wa = -2.91 rad/s O b. w3 = 2.07rad/s, wa = -2.91 rad/s C. W3 = 2.7 rad/s, wa 3.428 rad/s O d. w3 = 2.07 rad/s, w4 = -3.38 rad/sConsider the following spring system. ////// m, _with spring constants c = 3 Assume down is the positive direction. Write the stiffness matrix K = 3. • Compute the external force which causes the displacement u = Force =
- Assign the values of shear force and bending moment to the image bar as a function of the x coordinate. q=20kN/m F=14kN M=12kNm L1=1.2m L2=1.4m L3=1.3m L4=1.5m Minimum value of shear force: Qmin = Maximum value of shear force: Qmax= Use units (kN,m), Do not round the invoices in the intermediate stages, but only the final answer!For the mechanism in the Figure bellow, if e, = 30 and link 4 rotates with constant angular velocity of 1 rad/sec.; Using Complex numbers technique; !! The position of the slider 2 with respect to datum is 10 in. B. Select one O a 13.3 in b 5.8 in OC 67 in Oa 115 anA pinjointed fourbar linkage is shown in the figure below. The link lengths are L1 = 7.8 in., L2 = 2.9 in., L3 = 7.25 in. and La = 3.5 in. Using the current position, 02 110°, the position analysis has determined that 0 = 209.21°. Currently, link 2 is traveling at 10 rad/s CW B. 8, =0 Figure 6.7 Four-bar linkage acceleration analysis The angular velocities of link 3 wz and and link 4 wa are: Select one: O a. w3 = -4.29 rad/s, wa = 4.81 rad/s O b. w3 = 2.7 rad/s, w4 = 3.428 rad/s O c. W3 = -4.29 rad/s, wa = -4.38 rad/s O d. w3 = 3.589 rad/s, wa = 4.81 rad/s %3! %3D