9-7. Determine the reactions at the supports A, B, and C, then draw the shear and moment diagrams. El is constant. Problem 9-7 90 k-ft 36 k B 18 ft 9 ft -9 ft

Compute the support reactions of the given beam below. Also, determine the maximum value of the positive and negative shear as well as the moment. Note: pt. a is hinge support, pt. b is roller support, pt. c is internal hinge support, pt. d is internal roller support, pt. e is roller support, and pt. f is a hinge support. Hint: Try to expose the internal reaction/s of the internal hinge support at pt. c as well as for pt. d internal roller support. For the units, the forces are in kN, then for the distances, take it as meters. 30k 5K ... 30k 2 长 roller 24 24

10-79. The shaft af radius c is subjected to a distributed torque t, measured as torque/length af shaft. Determine the reactions at the fixed supports A and B. %3D

An 85pound force is applied to the bent plate as shown. a. Take the moment about the center point between A and B. b. Change the moment into a force couple that acts through A and B.

3- -Determine the force F required fail the curved pipe beam at support A. The support at A can carry a maximum moment of 1500Nm. Then define this moment about OC axis. Point B lies in x- z plane 60 4 m B 4 m 6 m 6 m

Determine the reactions at the supports, then draw the moment diagram. Assume B and C are rollers and A is pinned. The support at B settles downward 0.25 ft. Take E = 29(103) ksi, I = 500 in4.

1.3-4 Segments AB and BCD of beam ABCD are pin connected at x = 4 m. The beam is supported by a sliding support at A and roller supports at C and D (see figure). A triangularly distributed load with peak intensity of 80 N/m acts on BC. A concentrated moment is applied at joint D. (a) Find reactions at supports A, C, and D. (b) Find internal stress resultants N, V, and M at x = 5 m. (c) Repeat parts (a) and (b) for the case of the roller support at C replaced by a linear spring of stiff- ness k, 200 kN/m (see figure). 80 N/m 200 N-m at joint D A D 4 m B\ 4 m ; 3 m Pin connection Part (c) PROBLEM 1.3-4

1.3-4 Segments AB and BCD of beam ABCD are pin connected at x = 4 m. The beam is supported by a sliding support at A and roller supports at C and D (see figure). A triangularly distributed load with peak intensity of 80 N/m acts on BC. A concentrated moment is applied at joint D. (a) Find reactions at supports A, C, and D. (b) Find internal stress resultants N, V, and M at X = 5 m. (c) Repeat parts (a) and (b) for the case of the roller support at C replaced by a linear spring of stiff- ness ky = 200 kN/m (see figure). 80 N/m 200 N-m at joint D A 4 m B 4 m 3 m Part (c) Pin connection

Determine the internal moments at the joints of the frame as shown. There is a pin at E and D and a fixed support at A. El is constant. 45 kN/m E IT 60 kN- В 4 m -6 m- 5 m D A

P1 = 91L1 = 3L2 = 6