Consider a steel cube with side length L and each of its faces normal to the orthogonal axes x, y, and z as shown below. If the cube is subjected to a constant tensile force T along the x-axis and the faces along the y- and z-axes are left free and unsupported, which of the following best describes what is expected to happen?
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- A bar ABC revolves in a horizontal plane about a vertical axis at the midpoint C (see figure). The bar, which has a length 2L and crass-sectional area A, revolves at constant angular speed at. Each half of the bar (AC and BC) has a weight W, and supports a weight W2at its end. Derive the following formula for the elongation of one-half of the bar (that is. the elongation of either AC ar BC). =L223gEA(w1+3w2) in which E is t he modulus of elasticity of the material of the bar and g is the acceleration of gravity.A polyethylene tube (length L) has a cap that when installed compresses a spring (with under-formed length L1) by an amount ?? = (L1 = L). Ignore deformations of the cap and base. Use the force at the base of the spring as the redundant. Use numerical properties given in the boxes. (a) What is the resulting Force-in the spring, Fk? (b) What is the resulting Force in the tube, Ftl (c) What is the filial length of the tube, Lf? (d) What temperature change ?T inside the tube will result in zero force in the springSolve the preceding problem for the following data: b = 8.0 in., k = 16 lb/in., a = 45°, and P = 10 lb.
- Frame ABC has a moment release just left of joint B. Find axial force N, shear force V, and moment M at the top of column AB. Write variables N, V, and M in terms of variables P and L.Two separate cables AC and BC support a sign structure of weight W = 1575 lb attached to a building. The sign is also supported by a pin support at O and a lateral restraint in the '-direction at D. (a) Find the tension in each cable. Neglect the mass of the cables. (b) Find the average stress in each cable if the area of each cable is Ae= 0.471 in2.A plane frame with a pin support at A and roller supports at C and £ has a cable attached at E. which runs over Frictionless pulleys al D and B (see figure). The cable force is known to be 400 N. There is a pin connection just Lo the left of joint C. (a) Find reactions at supports^, C, and E. (b) Find internal stress, resultants N, V, and M just to the right of joint C. (c) Find resultant force in the pin near C.
- A rectangular steel block is 3 inches long in the x direction, 2 inches long in the y direction, and 4 inches long in the z direction. The block is subjected to a triaxial loading of three uniformly distributed forces as floows; 48 kips tension in the x directio, 60 kips compression in the y direction, and 54 kips tension in the z direction. If v = 0.30 and E = 29 x 106 psi, determine the single uniformly distributed load in the x direction that would produce the same deformation in the y direction as the original loading.A rectangular steel block is 4 inches long in the x-direction, 6 inches long in the y-direction, and 3 inches long in the z-direction. The block is subjected to a tri-axial loading of three uniform distributed forces as follows: 55 kips compression in the x direction, 62 kips tension in the y direction, and 24 kips tension in the z direction. If the Poisson’s ration is 0.26 and E = 29 x 106 psi, determine the single uniform distributed load in the y direction that would produce the same deformation in the x direction as the original loading.The figure below depicts the tire, axle, and gear of a large tractor. The entire structure is in mechanical equilibrium. Bearings support the rotating axle at points A and C attached to the tractor's frame. A force FD = 5000 lb is applied in the -z direction at point G of a gear with a 3-in radius. The force W = 1000 lb in the +z direction represents a normal force resulting from the weight of the tractor. The force Q acting in the +x direction, represents the traction force between the tire and the ground. The wheel, axle, and gear assembly weigh 150 lb with center of gravity at point D, which lies on the y axis with coordinate yp = -18 in. Points A, C, D (not seen in the figure), and E lie in the yz plane. Point G lies in the xy plane. Questions & Analysis: (a) Draw the FBD for the wheel, axle, and gear assembly if the bearings at A and B resist moments and the bearing at A is a thrust bearing. Label all unknowns. (b) Is the assembly statically determinate or statically…
- The crate weighing 100kg is balanced as shown in the figure. Find the tensile strength on each wire to maintain this state. (Considering Cartesian coordinates). I have been trying so long for this question and I couldn't solve it . Please help me.A rectangular steel block is 3 inches long in the x direction, 2 inches long in the y direction, and 4 inches long in the z direction. The block is subjected to a triaxial loading of three uniformly distributed forces as follows: 48 kips tension in the x direction, 60 kips compression in the y direction, and 54 kips tension in the z direction. If the Poisson’ Ration is 0.30 and the modulus of elasticity is 29xksi, determine the deformations at each direction. Also, determine the single uniformly distributed load in the x direction that would produce the same deformation in the y direction as the original loading.Please show complete solution with formula and free body diagramA rectangular steel block is 4 inches long in the x direction, 3 inches long in the y direction, and 4 inches long in the z direction. The block is subjected to a triaxial loading of three uniformly distributed forces as follows: 48 kips tension in the x direction, 60 kips compression in the y direction, and 54 kips tension in the z direction. If ν = 0.30 and E = 29 × 106 psi, determine the single uniformly distributed load in the x direction that would produce the same deformation in the y direction as the original loading.