The assembly shown in the figure is made up of a disk, a bar, and asphere. Disk A is pinned at O and has a weight of 18.0 lb. The 1-ftrod, weighing 2.7 lb, and the 1-ft-diameter sphere, weighing 11.5lb, are welded to the disk as shown.-1 ft-1 ft--2 ft-Awwwk = 4 lb/ftIf the spring is initially deformed 0.9 ft and the ball is releasedfrom rest in the position shown, determine the angular velocityof the assembly when it has rotated 45°. Express the answer inrad/s.

Given Weight of disk = 18 lb Weight of bar = 2.7 lb Weight of sphere= 11.5 lb

The assembly shown in the figure is made up of a disk, a bar, and a sphere. Disk A is pinned at O and has a weight of 18.0 lb. The 1-ft rod, weighing 2.7 lb, and the 1-ft-diameter sphere, weighing 11.5 lb, are welded to the disk as shown. -1 ft-1 ft- ft p -2 ft- A k = 4 lb/ft If the spring is initially deformed 0.9 ft and the ball is released from rest in the position shown, determine the angular velocity of the assembly when it has rotated 45°. Express the answer in rad/s.

The assembly shown in the figure is made up of a disk, a bar, and a sphere. Disk A is pinned at O and has a weight of 18.0 lb. The 1-ft rod, weighing 2.7 lb, and the 1-ft-diameter sphere, weighing 11.5 lb, are welded to the disk as shown. -1 ft-1 ft- ft p -2 ft- A k = 4 lb/ft If the spring is initially deformed 0.9 ft and the ball is released from rest in the position shown, determine the angular velocity of the assembly when it has rotated 45°. Express the answer in rad/s.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

The figure shows a cutaway view of an assembly in which a solid bronze [G = 6,500 ksi] rod (1) is fitted inside of an aluminum alloy [G = 4,000 ksi] tube (2). The tube is attached to a fixed plate at C, and both the rod and the tube are welded to a rigid end plate at A. The rod diameter is d1 = 2.05 in. The outside diameter of the tube is D2 = 2.8 in. and its wall thickness is t2 = 0.110 in. Overall dimensions of the assembly are a = 55 in. and b = 11 in. The allowable shear stresses for the bronze and aluminum materials are 10800 psi and 7800 psi, respectively. Further, the rotation angle of end B must be limited to a magnitude of 4.8°. Based on these constraints, what is the maximum torque TB that can be applied at end B?
3B. A stepped bar made of brass is subjected to axial loads as shown in the below figure. Determine the total change in length of the bar. Take E =100 GPa.
A 50 mm diameter cylindrical aluminum block is connected to 2 hollowed cylindrical steel blocks as shown in Figure. Both hollowed steel cylinders are of 60 mm and 40 mm outer and inner diameters respectively. The assembly is then connected to a rigid steel plate. Four bolts of diameter 10 mm are then used to rigidly fix the assembly to a wall. A force P is then applied to the assembly. The Modulus of elasticity(E) of steel is 200 GPa while aluminum has Modulus of elasticity(E) of 70 GPa. Both steel and aluminum have a yield strength (σy) of 250 MPa. The bolts have a yield stress (σy) of 800 MPa. All connections and joints are considered rigid.All lengths are in mm. a. Determine the allowable value of P that can be applied to the assembly taking into consideration theyielding of all parts of the assembly and bolts. Use a factor of safety of 1.5.b. Based on the value of P obtained part (a), determine the total elongation of the cylindrical steel block.c. Based on the value of P obtained…
A rod is composed of an aluminum section rigidly attached between steel and bronze sections, as shown in the figure. Axial loads are applied at the positions indicated. If P = 35000 lb, calculate the internal axial force in the steel. A.) 140000 lb B.) 50250 lb C.) 70000 lb
A steel bar is placed between two copper bars, each having the same area and length as steel bar at 20℃. A this stage, they are rigidly connected together at both the ends. When the temperature is raised to 320℃, the length of the bars increases by 1.5mm. Determine the original length and final stresses in the bars. Steel: Coefficient of expansion = 0.000012/℃; Es = 215 GN/m^2 Copper: Coefficient of expansion = 0.0000175/℃; Ec = 100 GN/m^2
Three solid cylindrical rods are welded together to form the compound axial member shown in the figure. The compound axial member is attached to a fixed support at A. Each rod has an elastic modulus of E=35E=35 GPaGPa. Use the following values for the rod lengths and areas: L1=1470L1=1470 mmmm, L2=1590L2=1590 mmmm, L3=1230L3=1230 mmmm, A1=240A1=240 mm2mm2, A2=110A2=110 mm2mm2, and A3=75A3=75 mm2mm2. What magnitude of external load PP is needed to displace end D a distance of uD=30uD=30 mmmm to the right?
The structure shown below is hinged to fixed supports at A and C. The bars are each 4 in. by 4 in. in section. Compute the horizontal reaction at C. 200 lb 800 lb 300 lb 400 lb
This subject is Statics of Rigid Bodies. Pls see prob 1.74 for the hint. But answer only 1.75, show your solution
Considering the steel rod at E, how long will its elongation be if it is hollow with an outside diameter of 25 mm and a thickness of 1.5 mm? Use E=200 GPa
The rods A and B having a tensile stress of 400 N/mm², determine the diameter so that they can support the load shown. Then calculate the change in length and strain in each bar if (E=200000 MPa) (L=2 m)
The compound bar containing steel, bronze, and aluminum segments carries the axial loads shown in the figure. The cross-sectional area of the steel, bronze, and aluminum are 0.75 in2, 1.08 in2, and 0.56 in2 respectively.Determine the change in length (in inches) of the bar if P = 11599 lb.The moduli of elasticity are 30022 ksi for steel ,12071 ksifor bronze, and 10028 ksi for aluminum. Round off the final answer to four decimal places.
The figure shows a rigid bar that is supported by a pin at A and two rods, one made of steel and the other of bronze. Neglecting the weight of the bar, compute the force (in N) in the steel rod caused by the 47678-Nload, using the following data: length of steel = 1.42 m, length of bronze = 2.03 m Area of steel = 574 mm, Area of bronze = 274 mm Modulus of elasticity of steel = 214 Gpa, Modulus of elasticity of bronze = 86 Gpa x = 0.7 m, y = 1.06 m, and z = 0.8 m. Round off the final answer to three decimal places.