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3. As shown above, the hammer in black hits the ball of mass 'm' at the...
Answer: 24 ei 0t1 Problem 7.8. A man hits a ball of radius R and mass...
Answer: 24 ei 0t1 Problem 7.8. A man hits a ball of radius R and mass m cal rod of length L and mass M (Fig. P.7.8). Before thei ylindri had an initial velocity vo e2 and angular velocity ao e3 as figure. The rod, on the other hand, wa oint A with angular velocity- o e3. The distance between the poin of impact and point A is denoted as d. Assume the force of impulse be perpendicular to the...
Due to the operational conditions and temperature gradient, a 95 mm diameter, 1.75 m long steel...
Due to the operational conditions and temperature gradient, a 95 mm diameter, 1.75 m long steel rod within a machine assembly is subjected to a combination of tensile loading of 190 N and thermal loading which imposes a longitudinal force of 244 N. The total loading results in an even distribution of forces on the body of the rod causing it to change its dimensions by increasing 0.45 mm in length at both ends and decreasing by 0.0135 mm at...
Due to the operational conditions and temperature gradient, a 95 mm diameter, 1.75 m long steel r...
Due to the operational conditions and temperature gradient, a 95 mm diameter, 1.75 m long steel rod within a machine assembly is subjected to a combination of tensile loading of 190 N and thermal loading which imposes a longitudinal force of 244 N. The total loading results in an even distribution of forces on the body of the rod causing it to change its dimensions by increasing 0.45 mm in length at both ends and decreasing by 0.0135 mm at...
Problem 3 To help support a vertical retaining wall, a metal rod is pushed into the...
Problem 3 To help support a vertical retaining wall, a metal rod is pushed into the soil embankment The soil surrounding the rod exerts a distributed arial force on the rod that varies linearly along the rod as shown. The rod has an initial length L and a cross-sectional area A, and it is made of material whose modulus of elasticity is E. Erpress all answers in terms of Pmax, E, A, and L. 1. What force P is required...
Problem 4 (20%) Figure 5 shows a uniform elastic bar fixed at one end and attached to a mass M at the other end. The cr...
Problem 4 (20%) Figure 5 shows a uniform elastic bar fixed at one end and attached to a mass M at the other end. The cross sectional area for the bar is A, mass density per unit length p, modulus of elasticity E and second moment of area I. For the longitudinal vibration: S Set the necessary coordinate system, governing equation of motion and boundary conditions a. b. Derive the general solution. Explain how you can obtain the natural frequencies...
Question 3 The structure shown in Figure Q(3) is a two-bar truss with spring support. Both bars have modulus of elasticity and cross-sectional area of E- 210 GPa and A -5.0 x10 m. Bar one has...
Question 3 The structure shown in Figure Q(3) is a two-bar truss with spring support. Both bars have modulus of elasticity and cross-sectional area of E- 210 GPa and A -5.0 x10 m. Bar one has a length of 5 m and bar two a length of 10 m. The spring stiffness is k -2000 kN/m. CVE 4303(F) Page 2 of 4 Determine (a) the stiffness matrix for each of the three elements (15 marks) (b) the normal stresses in...
3. 2090] Consider a uniform bar of Young's modulus E, cross-sectional area A, moment of inertia d...
3. 2090] Consider a uniform bar of Young's modulus E, cross-sectional area A, moment of inertia density p, length L, with an attached end mass, m, connected to a rigid wall via a linear spring of spring constant, k, see Figure. Let the longitudinal vibration of the bar be Wa.f). (a) [4] Write down the boundary conditions. m E, p Boundary condition at x 0 Boundary condition at x L (b) [81 Derive the equation for the natural frequency (c)...
A 3 m rigid bar AB is supported with a vertical translational spring at A and a pin at B The bar is subjected to a linearly varying distributed load with maximum intensity g Calculate the ver...
A 3 m rigid bar AB is supported with a vertical translational spring at A and a pin at B The bar is subjected to a linearly varying distributed load with maximum intensity g Calculate the vertical deformation of the spring if the spring constant is 700 kN/m. (ans: 21.43 mm) 2. A steel cable with a nominal diameter of 25 mm is used in a construction yard to lift a bridge section weighing 38 kN. The cable has an...
Answer: 24 ei 0t1 Problem 7.8. A man hits a ball of radius R and mass m cal rod of length L and mass M (Fig. P.7.8). Before thei ylindri had an initial velocity vo e2 and angular velocity ao e3 as figure. The rod, on the other hand, wa oint A with angular velocity- o e3. The distance between the poin of impact and point A is denoted as d. Assume the force of impulse be perpendicular to the...
Problem 3 To help support a vertical retaining wall, a metal rod is pushed into the soil embankment The soil surrounding the rod exerts a distributed arial force on the rod that varies linearly along the rod as shown. The rod has an initial length L and a cross-sectional area A, and it is made of material whose modulus of elasticity is E. Erpress all answers in terms of Pmax, E, A, and L. 1. What force P is required...
Problem 4 (20%) Figure 5 shows a uniform elastic bar fixed at one end and attached to a mass M at the other end. The cross sectional area for the bar is A, mass density per unit length p, modulus of elasticity E and second moment of area I. For the longitudinal vibration: S Set the necessary coordinate system, governing equation of motion and boundary conditions a. b. Derive the general solution. Explain how you can obtain the natural frequencies...
Question 3 The structure shown in Figure Q(3) is a two-bar truss with spring support. Both bars have modulus of elasticity and cross-sectional area of E- 210 GPa and A -5.0 x10 m. Bar one has a length of 5 m and bar two a length of 10 m. The spring stiffness is k -2000 kN/m. CVE 4303(F) Page 2 of 4 Determine (a) the stiffness matrix for each of the three elements (15 marks) (b) the normal stresses in...
3. 2090] Consider a uniform bar of Young's modulus E, cross-sectional area A, moment of inertia density p, length L, with an attached end mass, m, connected to a rigid wall via a linear spring of spring constant, k, see Figure. Let the longitudinal vibration of the bar be Wa.f). (a) [4] Write down the boundary conditions. m E, p Boundary condition at x 0 Boundary condition at x L (b) [81 Derive the equation for the natural frequency (c)...
A 3 m rigid bar AB is supported with a vertical translational spring at A and a pin at B The bar is subjected to a linearly varying distributed load with maximum intensity g Calculate the vertical deformation of the spring if the spring constant is 700 kN/m. (ans: 21.43 mm) 2. A steel cable with a nominal diameter of 25 mm is used in a construction yard to lift a bridge section weighing 38 kN. The cable has an...
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