3) Statically Indeterminate Truss (15 pts). For the truss shown below all the members have elastic modulus E, normal failure stress σ, shear failure stress τ, and cross-sectional area A. All answers...
Problem 1 Analyze the truss structure (statically determinate) shown below. The diameter of the circular truss members is 4 cm. The material used has an elastic modulus E-160GPa 1. Calculate the forces in each truss member. 2. Calculate the horizontal and vertical displacements 1 KN of the truss nodes B and C Calculate the margin of safety. Note: Tension members can fail by stress failure and compression members can fail by stress failure or buckling. 3. 1.732 m 2 KN...
Problem 1 Analyze the truss structure (statically determinate) shown below. The diameter of the circular truss members is 4 cm. The material used has an elastic modulus E-160GPa 1. Calculate the forces in each truss member. 2. Calculate the horizontal and vertical displacements 1 KN of the truss nodes B and C Calculate the margin of safety. Note: Tension members can fail by stress failure and compression members can fail by stress failure or buckling. 3. 1.732 m 2 KN...
1. Model the truss below in SAP2000. Give all members a cross-sectional area of 2.0 in-and i = 35 in*. Use the steel material (E = 29,000 ksi). Find all of the bar forces and report them in a table. Now change the cross-sectional area of all bars to A 3.0 in2. What change, if any, occurs in the bar forces of this statically determinate truss? 30 k 60k C 60 kT 20 k 18 ft 18 ft
The members of the truss shown below have a cross sectional area of 0.0002m^2 and Young's modulus of E=69GPa. Determine the deflection at each joint using Finite Element Method. 500 N 500 N Fuc (compression) Faa (tension) 2 m 500 N 45° 45" ac (compression) Fas (tension) 500 N 500 N Fuc (compression) Faa (tension) 2 m 500 N 45° 45" ac (compression) Fas (tension)
2. Model the truss provided below in SAP2000. Give all members a cross-sectional area of 2.0 in2 and i = 35 in*. Use the steel material (E 29,000 ksi). Find all of the bar forces and report them in a table. Now remove all point loads and then apply a downward vertical point load of 110 k at point E. Find all bar forces. Does this loading scenario produce any peculiar behavior in the truss? 20 k 10k E 20...
(3pts): The truss is constructed of A36 steel (E -2 a cross-sectional area of 250 mm2. Answer the following s 300 Clbe wna -250 MES, AI 00 G Pa and O, 250 MPa). All truss members have (a) Determine the normal stress and strain in member CD. (b) The support at joint D uses a pin placed in double shear. The pin diameter is 20 mm Determine the average shear stress acting in the pin. 50 kN 50 kN 25...
A plane truss element is shown in Figure 4, All elements have cross-sectional area of A = 8 in, and elastic modulus of E-2 x 10° psi. Use long-hand solution 6. 6.(a). Solve for the unknown displacements. 6.(b). Solve for strains and stresses in al 3 elements. Show your work and follow the finite element method matrix formulation we have covered in lectures. 4 5 kip 10 240 ft 30 ft30 ft Figure 4. A plane truss element is shown...
A plane truss element is shown in Figure 4. All elements have cross-sectional area of A = 8 in, and elastic modulus of E 2 x 10 psi. Use long-hand solution. 6. 6.(a). Solve for the unknown displacements 6.(b). Solve for strains and stresses in all 3 elements. Show your work and follow the finite element method matrix formulation we have covered in lectures 4 3 20 ft 5 kip 10 kip 240 ft ft 30 ft- Figure 4 A...
please answer #1 answers are in photo below questions. please solve 1. (20 pts.) The truss structure shown has 3 members: BD, CD and BC. The value of EA (where E-Young's modulus and A-cross-sectional area) for each of the members is 200 x 103 [kN]. (1) Determine the support reactions at B andCt (2) Determine the vertical displacement of the joint D, "D, (3) Determine the horizontal displacement of the joint D, uph. 0 30° 10 kN 2.13mm 2. (20...
A circular cross section steel bar with a Young’s modulus E=2.1x10^11 N/m^2 and an area A=50mm^2 and a length L=3m is installed horizontally between and welded to two walls. Assuming that a torque of M=5,000Nm is applied to the bar at a distance of l=2m from the left wall please answer the following: a. Is this system statically determinate or indeterminate? b. Determine: i. What are the reactions from the walls? ii. Plot the variation of torque in the bar....