r Q2. A bracket is attached to a vertical column by means of six identical bolts as shown in Fig. 1. It is subjected to an eccentric force of P-80 kN at a distance of 200 mm from the center of column. What is the magnitude of maximum shear force and which bolt carry it? P= 80 kN 200 Fig. 1 1 2- 75 6 30 75 → 5 .5 1- 50 10-50-1

Mechanics of materials I

Problem 2. The assembly consists of three titanium (Ti- 6A1-4V) rods and a rigid bar AC. The cross-sectional area of each rod is given in the figure. If a force of 6 kip is applied to the ring F, determine the horizontal displacement of point F, and determine the angle of tilt of rigid bar AC. B D 4 ft ACD = 1 in² AAB 6 ft 1.5 in² E 2 ft 1 ft 1 ft AEF = 2 in² 6 kip

The shaft is supported at its ends two bearings A and B and is subjected to the forces applied to the pulleys fixed to the shaft. (Figure 1) The T₁ = 410-N forces act in the -z direction and the 200-N and 80-N forces act in the +y direction. The journal bearings at A and B exert only y and components of force on the shaft. Figure 200 mm 300 mm 150 mm, 150 mm 200 mm 400 mm B 200 N 80 N 80 N 200 N < 1 of 1 Determine the resultant normal force on the cross section at C Express your answer to three significant figures and include appropriate units. Nc= Submit Part B (Vc)y= Submit Part C Value Determine the resultant shear force in the y direction on the cross section at C Express your answer to three significant figures and include appropriate units. (Vc)= = Request Answer 4 ▬▬ μÀ 4 Value Request Answer μà → ⒸIE ? Value Units Determine the resultant shear force in the direction on the cross section at C Express your answer to three significant figures and include appropriate units. Ć IE ?…

Question 4: Two wrenches are used to tighten the pipe. If the pipe is made from a material having an allowable shear stress of Tallow = 85 MPa, check the allowable force for external and internal diameter of pipe and determine the allowable maximum force P that can be applied to each wrench. The pipe has an outer diameter of 25 mm and inner diameter of 20 mm. 250 mm B 250 mm Figure 4 Answer: Torque = 0.5P, Polar moment of inertial J = 2.26 x 108 m4, outer diameter PS %3D 307.36N, inner diameter P S 384.2 N, Pallowable = 307.36N

Determine the magnitude of the internal shear force experienced by pin B.

2-12. For the truss shown in the figure, deter- mine the total elongation of the member BC due to the application of the force P = 450 kN. The || member BC is made from steel and is 60 mm² in cross-sectional area. E = 210 000 MN/m². %3| B 1.20 m D 450 kN 5 spaces at 0.90 m = 4.50 m %3D

The rectangular bar is connected to the support bracket with a 24-mm-diameter pin. The bar width is w = 80 mm and the bar thickness is 20 mm. Each side of the bracket has the same dimensions as the bar. The average shear stress in the pin cannot exceed 125 MPa, the bearing stress in the bar cannot exceed 130 MPa, and the bearing stress in the bracket cannot exceed 130 MPa. Determine the maximum value of Pmax that can be supported by the structure. P Answer: Pmax =

The three-bar truss in Fig. a is subjected to a horizontal force of 5 kip. If the cross-sectional area of each member is 0.20 in2, determine the horizontal displacement at point B. E = 29(103) ksi.

The rectangular bar is connected to the support bracket with a 17-mm-diameter pin. The bar width is w = 70 mm and the bar thickness is 20 mm. Each side of the bracket has the same dimensions as the bar. The average shear stress in the pin cannot exceed 130 MPa, the bearing stress in the bar cannot exceed 140 MPa, and the bearing stress in the bracket cannot exceed 150 MPa. Determine the maximum value of Pmax that can be supported by the structure.