cross-sectional area of 2.25 in2. The loading is P 6.9 kip. The bars of the truss...
3. Bar AC is rectangular in cross-section and has a cross-sectional area of 0.5 in2. The stress-strain behavior of the material is shown below. Construct the (internal) axial force diagram for Bar AC. Then compute / provide the total deformation in the bar (between A and C) B 8 kip C 5 kip 5 ft a(ksi) 40 20 0.001 0.021 -e (in/in.)
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
326 СНАРТER 6 BENDING EXAMPLE 6.18 The reinforced concrete beam has the cross-sectional area shown in Fig. 6-39a. If it is subjected to a bending moment of M = 60 kip ft determine the normal stress in each of the steel reinforcing rods and the maximum normal stress in the concrete. Take Est = 29(10) ksi and Econc = 3.6(103) ksi SOLUTION Since the beam is made of concrete, in the following analysis we will neglect its strength in supporting...
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 should be given in terms of P, W, A, E, σ, and/orT5 (a - 10 pts) Solve for the reaction forces at points B and D and the magnitude of the deflection of point C (b - 5 pts) Given a safety factor of 1.5, write an expression...
5. (20 points) The truss shown below supports horizontal forces of 6 kips at Joint G, 8 kips at Joint E, and 4 kips at Joint C. All truss members are made of steel (E 29,000 ksi). Each of the diagonal members (Members AD, DE, and EH) has a cross-sectional area of 1.2 in2. Each of the vertical members (Members AC, CE, EG, BD, DF and FH) has a cross-sectional area of 2.4 in Each of the horizontal members (Members...
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...
(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...
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...
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...
P = 18 kN Cross Sectional area of AB = 300mm cross sectional area of BC = 75 mm² (1) stress OAB = ? "OBC = ? 3m 3 м 18KN (2) if there are changes of length A AB = 2.5mm ABC = 8.0mm E AB= ? Strain EBC = ?