L. 2

4(a) A solid circular bar is experiencing axial load F=3 kN as in Figure 4(a). Find the strain energy in the bar, E=200GPa. F= 3 kN F= 3 kN Solid circular bar 6 = 40 mm Figure 4(a) 4(b) A simple ABCD structure is being loaded built in at D and loaded with load P at A, as in Figure 4b. The structure is made of steel solid round cross section with 100mm diameter with E= 200GPA, o, = 250 MPa. AB = Im, BC= 1.5m, CD= 2.5m Neglect the energy from the shear and axial load, find the ; i) Vertical deflection of point A i) Horizontal deflection of point A iii) Slope of point C D Figure 4b A в P=10N

A circular aluminum tube with a length of L = 420 mm is loaded in compression by forces P (see figure). The hollow segment of length LB has outside and inside diameters of 60 mm and 35 mm, respectively. The solid segment of length 2L/3 has a diameter of 60 mm. A strain gage is placed on the outside of the hollow segment of the bar to measure normalstrains in the longitudinal direction.(a) If the measured strain in the hollow segment is6jy=470*10 , what is the strain in the solid part? Hint: The strain in the solid segment is equal to that in the hollow segment multiplied by the ratio of the area of the hollow to that of the solid segment.(b) What is the overall shortening of the bar?(c) If the compressive stress in the bar cannot exceed 48 MPa, what is the maximum permissible value of load P?

A rigid bar ACE is supported by three vertical wires and is initially horizontal, as shown in the figure. Then, a force P is applied at the center of the bar. All wires are made from the same material with modulus of elasticity E = 200 GPa and have the same cross-sectional area, A = 10 mm². You may assume that the deformations are small and that the stresses are within the elastic range for this problem. 1.5 m A D F 1.0 m 1.0 m H C E P A 2.0 m Figure 3.1: Rigid bar supported by three vertical wires a) Find the normal stresses and the axial displacements in the wires if P = 15 kN. b) Knowing that AB is the critical wire, and its yield stress is oy maximum P that can be applied. = 1500 MPa, find the

A 5-mm-thick rectangular alloy bar is subjected to a tensile load P by pins at A and B, as shown in the figure. The width of the bar is w= 26 mm. Strain gages bonded to the specimen measure the following strains in the longitudinal (x) and transverse (y) directions: &x = 840 με and Ey = -265 με. (a) Determine Poisson's ratio for this specimen. (b) If the measured strains were produced by an axial load of P = 18 kN, what is the modulus of elasticity for this specimen? P Answers: (a) v = (b) E= 0.315 i .044 y e Textbook and Media Save for Later GPa B P Attempts: 2 of 5 used Submit Answer

For the truss in figure below, the cross-sectional area of the truss members is A = 500 mm2 and Young’s modulus E = 200 GPa. Let P = 95.8 kN. Determine: a) Strain energy for truss AC. Enter your answer in J to 2 decimal places. b) Strain energy for truss AB. Enter your answer in J to 2 decimal places. c) Strain energy for truss BC. Enter your answer in J to 2 decimal places. d) Strain energy for truss BD. Enter your answer in J to 2 decimal places. e) Strain energy for truss DC. Enter your answer in J to 2 decimal places. f) Strain energy for truss DF. Enter your answer in J to 2 decimal places. g) Strain energy for truss FC. Enter your answer in J to 2 decimal places. h) Strain energy for truss CE. Enter your answer in J to 2 decimal places. i) The displacement at point A. Enter your answer in mm to 2 decimal places.

Consider the two bars of identical material with their elastic modulus E as shown in Figure below. Both bars have the same circular cross-section with diameter of d. The length of the longer bar is 2L and the length of the shorter bar is L. The angle between the bars is B. The system is subjected to a vertical force acting at point Pas shown in the figure with a magnitude of F. Calculate horizontal and vertical components of the displacement of point P. Use engineering notation (ENG display mode on scientific calculators) with 3 significant figures after the decimal point. E (psi) 1.50E+06 d (in) 1.25 L (in) 12 Beta (degrees) 30 F (Ibf) 110 F P L 2L

A round bar of 10 mm diameter is made ofaluminum alloy 7075-T6 (see figure). When the baris stretched by axial forces P, its diameter decreasesby 0.016 mm.Find the magnitude of the load P. Obtain thematerial properties from Appendix I.