Assignment 4 Solutions PDF

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1. For the frame and loading shown in Figure 1, determine the components of all the forces acting on members ABC, and EDC. [ Note: Both members ABC and EDC are long continuous members].

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Page 4 of 24 2. For Figure 2 determine the components of all the forces acting on the points at A and B. Note that the frame is also subjected to a force F = 500N, and a moment M = 200 N.m. [Note: Both supports A and B are pin-supports].

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Page 6 of 24 3. For the frame and loading shown in Figure 3, determine the components of all the forces acting on members ABE, BCD and ACF. [ Note: Both supports E and F are pin-supports. Members ABE, BCD and ACF are long continuous members. Hint! Identify the direction of the interaction force in Pin C].

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Page 9 of 24 4. The frame shown in Figure 4 is subjected to a force 200N at F, and is subjected to another load of 500N as shown. For the frame and loading shown, determine the components of all the forces acting on members ACE, and BCDF. [Note: Both members ACE, and BCDF. are long continuous members. C is a smooth slotted pin joint]

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Page 12 of 24 5. Two hydraulic cylinders control the position of the robotic arm ABC. Knowing that in the position shown in Figure 5, the cylinders EA and GD are parallel, determine the forces exerted by each cylinder, when the forces P = 200N, and Q = 100N.

Page 13 of 24 6. The Figure 6 shows the compound arrangement of the pan scale. If the mass on the pan is 10kg, determine the components all the forces acting on the pins at A, B, and C. Determine the distance ‘x’ of the 50-g mass to keep the scale in balance. [Note: Member ED is NOT connected to the horizontal balance member BCH].

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Page 15 of 24 7. The frame shown in Figure 7 is subjected to a force 42kN at pin C, and is carrying a load of 28kN as shown. For the frame and loading shown, determine the components of all the forces acting on members ABC, and BFDE. [Note: Both members ABC, and BFDE. are long continuous members].

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8. Determine the internal normal force, shear force, and the bending moment at points D, and E of the compound beam shown in Figure 8. [Note: Members AB and BC are joined together at B, using a pin connection].

Fig. 8

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9. Determine the internal normal force, shear force, and the bending moment at points D, and E of the two member frame shown in Figure 9. [Note: Bent Member AB and BC are joined together at B, using a pin connection].

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10. Knowing that the radius of the pulley is 200mm and neglecting friction, determine the internal normal force, shear force, and the bending moment at points J, and K of the two member frame shown in Figure 10. [Note: Long Members ADE and BCE are joined together at E, using a pin connection. All pulleys are connected to members using pin-connections].

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