The bar shown has a cross-sectional area of 0.001 m² and a modulus of elasticity of...
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...
for 60,000 the 1D bar shown with an elastic modulus of 200 GPa, cross-sectional area of 12.5x10 m2, and length of 1.5 m. determine the following e(x) dx d. σ(x) o (x) dx a) Theoretical axial displacement equation based on ö(x) dx E F(x) dx EA |zE
Bars A and B in the mechanism shown are made of steel with a modulus of elasticity E = 200 GPa, a cross-sectional area of A = 100 mm?, and a length L = 2.5 m. The applied force F = 10 kN. (a) Write the equations of equilibrium for the horizontal bar. (b) Determine the forces in bars A and B. (c) Find the axial stress in bars A and B. to 2.0 m 3.0 m ** 1.5 m...
(a) Bar A has a cross-sectional area of 0.04 m2, mod ulus of elasticity E 70 GPa, and coefficient of thermal 6 oC-1. Bar B has a cross-sectional 14 x 10 expansion a area of 0.01 m2, modulus of elasticity E 120 GPa, and co efficient of thermal expansion a 16 x 10 6 oct I. There is a gap b 0.4 mm between the ends of the bars. What minimum increase in the temperature of the bars above their...
A bar ABCD with varying cross section and subjected to axial loads is shown schematically in Figure Q3. Take modulus of elasticity of bar as 202 GPa. The length of each section L1 = 111 mm; L2 = 205 mm; and L3 = 451 mm. The cross sectional dimensions are as follows: Section 1 is square with side 49 mm, Section 2 is circular with diameter 79 mm and Section 3 is circular with diameter 32 mm. The forces are...
Q-4 (25 pts A uniform bar of length (L), cross sectional area (A) and mass (m) is free to rotate about a frictionless hinge at "O" in a horizontal plane. At the instant shown its angular velocity is (w) rad/sec clockwise and the applied torque (T) is clockwise. For the instant determine: a) The reactions at the hinge "O b) The internal forces (Shear force V, axial force F) in the middle of the bar (xeL/2 from hinge "O") Hint:...
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...
FIGURE P3-19 aSection The brass bar shown in Fig. P3-20, which has a uniform cross-sectional area of 2 in.2, is subjected to the forces shown. Determine the total deformation of the bar. The modulus of elasticity of brass is E = 17 x 102 ksi. si 40 kips 30 kips 30 kips CI 2ft . (4ft -tl 3 ft FIGURE P3-20
The A992 steel rod is subjected to the loading shown. If the cross-sectional area of the rod is 100 mm2. Neglect the size of the couplings at B and C. The elastic modulus and yield stress of A992 steel is 200 GPa and 345 MPa respectively. Determine the displacement of B and A with respect to point D. (Preserve 2 significant digits after the decimal point.) QUESTION 1 The 1992 steel rod is subjected to the loading shown. If the...
1. The circular bar has a length of 12 ft-o in., a diameter of 1 in., and a modulus of elasticity E = 29x10 psi. It is subjected to an axial force of 10,000 lbs along the centroidal axis of the bar's cross-sectional area as shown. Find the following: (i) Average normal stress and average shear stress at section a-a (ii) Average normal stress and average shear stress at section b-b (iii) The bar total elongation 10,000 lbs 10,000 lbs...