6-36* A beam is loaded and supported as shown in Fig. The beam has a uniform cross section and a mass of 120 kg. Determine the reactions at supports A and B. 2 m A 1600 N GA 30
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- Find required distance d (in terms of L) so that rotation Ss= 0 is due to M and q loadings applied at the same time. Also, what is the resulting net rotationThe steel rod is shown in Figure has a diameter of 10 mm. It is fixed to the wall at A, and before it is loaded, there is a gap of 0.2 mm between the wall at B and the rod. Determine the reactions on the rod if it is subjected to an axial force of P = 20 kN. Neglect the size of the collar at C. Take Est = 200 GPa.Determine the support reactions for the beam on the left if w=250N/m and L=6m don’t short cut steps
- The beam is supported by a pin at A, a roller at B, and a post having a diameter of 50 mm at C. Determine the support reactions at A, B, and C. The post and the beam are made of the same material having a modulus of elasticity E = 200 GPa, and the beam has a constant moment of inertia I = 255(106) mm4.The assembly below consists of a steel rod CB and an aluminium rod BA, each having a diameter of 12 mm. If the rod is subjected to the axial loadings at A and at the coupling B, determine the displacement of the coupling B and the end A. The unstretched length of each segment is shown below. Neglect the size of the connections at B and C, and assume that they are rigid. Est = 200 GPa, Eal = 70 GPa.The aluminum pipe shown in Fig. is used to support a load of 150 kip.Determine the maximum displacement at the top of the pipe if the load is(a) applied gradually, and (b) applied by suddenly releasing it from the topof the pipe when h = 0. Take Eal = 10(103) ksi and assume that thealuminum behaves elastically.
- 17-37. An inclined steel bar 2 m long, having a cros section of 4000 mm² and an I of 8.53 x 10 mm, is supported as shown in the figure. The inclined steel hanger DB has a cross section of 600 mm". Determine the downward deflection of point C due to the application of the vertical force of (2.SQRT(2)) kN. Let E = 200 GPa.The horizontal beam is assumed to be rigid while supporting the distributed load. Determine the angle of inclination of the beam after the load is applied. Each support consists of a wooden post with a diameter of 120 mm and an original length (unloaded) of 1.40 m- Consider E = 12 GPaDetermine the reactions at the supports using stiffness method. Assume A, B and C are fixed. Take E = 200 GPa, I = 350 (106 ) mm4 and A = 15 (103 ) mm2 Draw shear force and moment diagram of frame
- The 2014-T6 aluminum strut is fixed between the two walls at A and B. If it has a 2 in. by 2 in. square cross-section, and it is subjected to the torsional loading shown, determine the reactions at the fixed supports. Also, what is the angle of twist at C?A flying but tress transmit s a load P = 25 kN, acting at an angle of 60º to the horizontal, to the top of a vertical buttress AB (see figure). The vertical buttress has height h = 5.0 m and rectangular cross section of thickness t = 1.5 m and width b = 1.0 m (perpendicular to the plane of the figure). The stone used in the construction weighs y = 26 kN/m3. What is the required weight W of the pedestal and statue above the vertical buttress (that is, above section A) to avoid any tensile stresses in the vertical buttress?‘11.5-2 A steel bar having a square cross section (50 mm × 50 mm)and length L = 2.0 in is compressed by axial loads that have a resultant P = 60 kN acting at the midpoint of one side of the cross section (sec figure). Assuming that the modulus of elasticity £is equal to 210 GPa and that the ends of the bar are pinned, calculate the maximum deflection S and the maximum bending moment Mmax.