For the structure shown in Figure 2, each member has a modulus of elasticity E and area A, the length of the member BC and CD is L. (a) Determine the total strain energy in the structure. (b) Using the work energy approach, determine the vertical deflection of point C. (c) Using any energy approach, determine the deflection of point D. 2- For the structure shown in Figure 2, each member has a modulus of elasticity E and area A, thelength of the member BC and CD is L.(a) Determine the total strain energy in the structure.(b) Using the work energy approach, determine the vertical deflection of point C.(c) Using any energy approach, determine the deflection of point D.B45°Lv2C45°LTTTD

Answered: Image /qna-images/answer/6e64182e-a1fd-49cc-97cb-032c0e52f463.jpg

For the structure shown in Figure 2, each member has a modulus of elasticity E and area A, the length of the member BC and CD is L. (a) Determine the total strain energy in the structure. (b) Using the work energy approach, determine the vertical deflection of point C. (c) Using any energy approach, determine the deflection of point D.

For the structure shown in Figure 2, each member has a modulus of elasticity E and area A, the length of the member BC and CD is L. (a) Determine the total strain energy in the structure. (b) Using the work energy approach, determine the vertical deflection of point C. (c) Using any energy approach, determine the deflection of point D.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.7.5P: Determine the strain energy per unit volume (units of psi) and the strain energy per unit weight...

See similar textbooks

Similar questions

Question Three a) A wire 3m long and 2mm in diameter when stretched by weight of 10kg has its length increased by 0.28mm. Find the stress, strain and Young Modulus of the material of the wire. (g = 9.81m/s²) b) A steel column is 3.5m long and 0.4m diameter. It carries a load of 50MN. Given that the modulus of elasticity is 200GPa, calculate the compressive stress and strain, and determine how much the column is compressed.
A solid, round column with a length of 5 m and a diameterof 50 mm is fixed at one end and is free at the otherend. The material’s yield strength is 300 MPa and itsmodulus of elasticity is 207 GPa. Assuming concentricloading of the column, determine the following: a) The critical load. b) The critical load if the free end is also fixed (i.e.,both ends are now fixed)
Problem 2 A cylindrical specimen of a nickel alloy hav- ing an elastic modulus of 207 GPa (30 x 106 psi) and an original diameter of 10.2 mm (0.40 in.) will experience only elastic deforma- tion when a tensile load of 8900 N (2000 lb,) is applied. Compute the maximum length of the specimen before deformation if the maximum allowable elongation is 0.25 mm (0.010 in.).
L b F What is the change in length (L) of the titanium bar (E = 16.5E6 psi) given: L = 36 in., b = 3 in., h = 0.25 in, and F = 3 kips Answer to above question is 8.72E-3 in, the shear modulus for the bar is 6.145E6 psi, poisons ratio is 0.343. My question is what is the strain (in macrostrain) in the bar in a direction perpendicular to the direction of the applied force? (Answer is 82.8, I need to understand how to reach this answer.)
1.7C1 1.4C1 ci 0.9C1 Uniform plastic elongation Necking Elastie 0 4 % 15% 35% Strain in % Stress-Strain diagram Stress in MPa
Thank you for answering this question. Please you specify each step as soon as possible. Good Luck! Thank You. Consider a 60-mm cube made of graphite-reinforced polymer composite material that is subjected to a tensile force of 100 kN perpendicular to the fiber direction, directed along the 2-direction. The cube is free to expand or contract. Determine the strains (Ɛ11; E22, Ɛ33, Y23, Y31. Y12) using following material constants for graphite-reinforced polymer composite. E1 =155 GPa, E2 = E3 = 12.10 GPa U 23 = 0.458, D12 =V13 = 0.248 G23 = 3.20 GPa, G12 = G13 = 4.40 GPa
Question 2 A material with the given stress-strain curves is loaded in tension. Loading process COMPLETELY STOPS at B. When stress is 700 MPa and during the Re-load process, Find: 1. The longitudinal and lateral strain 2. Change in diameter a (MPa) 1000 800 dy= 600 300 150 D. 0.02 0.03 0.04 0.023 e(mm/mm) 0.01 €y = 0.006 7 MPa 90 80 70 60 50 40 30 20 10 T = 73 Oy =0.0013 = 0.54 0.73 Y (rad) Yu
A cylindrical bar of steel 10.4 mm (0.4094 in.) in diameter is to be deformed elastically by application of a force along the bar axis. Determine the force that will produce an elastic reduction of 3.3 x103 mm (1.299 x104 in.) in the diameter. For steel, values for the elastic modulus (E) and Poisson's ratio (v) are, respectively, 207 GPa and 0.30. i
Question 1 C B А 10kN 28KN → 60kN 44kN + 120cm 80cm Ocm 40cm Figure 1 a) Draw a Free Body Diagram for each section of the member above. b) Determine the force acting on the section BC. c) Draw a Normal Force Diagram for the figure above. d) Calculate the stress induced in the member BC if the diameter of the rod is 55.2791mm. e) Determine the total elongation of the rod.
A bar having a length of 125 mm and cross-sectional area of 467.5 mm? is subjected to an axial force of 40 kN as shown in (Figure 1). Part A If the bar stretches 0.03 mm, determine the modulus of elasticity of the material. The material has linear-elastic behavior. Express your answer to three significant figures and include the appropriate units. HA Figure E = Value GPa Submit Request Answer Provide Feedback 40 kN 40 kN 125 mm
Determine the maximum axial load P (in kN) that can be applied to the wood compression block shown if specifications require that the shear stress parallel to the grain not exceed 4.59 MPa. Note: Do NOT include units in your answer ag Direction 60° of grain Answer: 100 mm Width P P 100 mm Length = 320 mm Depth 120 mm Previous page Next page 16°C ASUS VivoBook esc (12 17 180/ home 19 prt sc f10end fPgup F12Pgdn
Rigid bar ABCD is loaded and supported as shown. Steel [E = 28600 ksi] bars (1) and (2) are unstressed before the load P is applied. Bar (1) has a cross-sectional area of 0.67 in.² and bar (2) has a cross-sectional area of 0.32 in.2. After load P is applied, the strain in bar (1) is found to be 810 μe. Assume L₁-51 in., L₂=78 in., a-31 in., b-29 in., and c-37 in. Determine: (a) the stresses in bars (1) and (2). (b) the vertical deflection vp of point D on the rigid bar. (c) the load P. (2) (1) L₁ B Answers: (a) o₁ = (b) VD= (c) P= i i i L2 b ksi, 0₂ in. kips. с = Mi D ksi.