2.12Db Solid rods A, B, C, ... and I are positioned inside a rigid vertical channel,...
The rigid beam BD is supported by a smooth pin B, two circular rods at points C and D and is subjected to two concentrated loads as illustrated below. Neglect the weight of the rigid beam and assume that when W= 0 the rigid beam is in the horizontal position and the rods are stress-free. Assume small rotations 2) (1 Assume that h 119 mm and b 112 mm Use the compatibility equations (geometry of deformation) to obtain the ratio...
Consider the motion of a rigid body with principal moments of inertia I < I<I,, in absence of external forces and torques (i.c., a free rigid body). Assume the body is a rectangular figure of width W, height H and length L (i.e., a book), with H<W<L, as shown in the figure. The angular velocity vector of the rigid body, in the body system, is (, . The conserved energy of the top is E, and the conserved angular momentum...
2.34 The solid, continuous round bar shown in Figure P2.34 can be viewed as composed of a straight segment and a curved segment. Draw free-body diagrams for the segments 1 and 2. Also, determine the forces and moments acting on the ends of both segments. Neglect the weight of the member Round bar 2 90
A rigid system is made of three rods fastened together in the form of letter H (see figure). Two rods (A and B) are identical with length hA, radius rA and mass mA. The central rod (C) has length hc radius rc and mass mc The system is free to rotate in the horizontal xy plane around the vertical z axis passing through the centre of the system. Identify the moment of inertia of the rigid system 12 mc, Consider...
bjected to the forces shown. Two of the rods are made aterial with Poisson's ratio , and two of the rods have on's ratio , as shown in the figure. Part B-Calculate the lateral strain Anew structure witha simlar setup but different materials is buit as shown in the image (Figure 2). This time, rods /and l are made from glass with E60 GPa and 02. Rods W and IV are made from bronze with E100 GPa and 034. The...
A solid steel shaft AC is fixed to a rigid wall at its end A and is connected to a solid aluminum shaft CD at its other end C. The torques T1 and T2 are applied at the sections B and D, respectively, as shown in the figure. All the dimensions are given in the figure and the weight of the shafts are neglected. The sheair modulus of steel is Gst 78 GPa and the shear modulus of aluminum is...
The assembly, shown below in Figure Q5, consists of three titanium rods and a rigid bar AC, which is horizontal prior to application of the load. The cross-sectional area of each rod is given in Figure Q5. A vertical force, P = 20 kN, is applied to the ring, F, as shown. Given: Eti = 350 GPa. Determine the vertical displacement of point F.
Q1. Two rigid members (BCDE and EKN) are connected by a pin at E. The structure is supported by a pin at B and two rollers at D and N. An inclined distributed load is acting between E and K with the horizontal (12 kN/m) and vertical (16 kN/m) components. Neglect own weights and thicknesses of the members. f w 26.667 kN/m, 1.5m Draw necessary free body diagrams and determine the reaction forces at roller supports (D and N) and...
Mainly need help with part (b) please. A rigid bar ABCD is suspended from the ceiling by two initially unstressed rods BHE and CF as shown in the figure. The rigid bar ABCD is in the position shown in the figure without any force applied and at an initial temperature of 25°C. Neglect the weight of all the members. 70 cm i 80 cm . 1 15 cm 20 cm 110 cm F- 8 kN Given: 1, Young's modulus of...
4 The hoist shown consists of two compression members assumed to be pin connected at points A, B, and C, and a pulley at point B. Draw free-body diagrams and show all the forces acting on AB, BC, and the pulley system when the weight W is 150 lbs. 6 ft 8 ft W F 8 ft 6 ft 4 The hoist shown consists of two compression members assumed to be pin connected at points A, B, and C, and...