Mechanical Engineering Risa 2D finite Element Analysis

CIVE 5522 STRUCTURAL ANALYSIS 2

ASSIGNMENT NO. 7

Due: Tuesday, March 27th, 2018 (beginning of class)

1. Repeat Problem 1 from Assignment No. 5 using the computer program RISA 2D (Educational) or any equivalent general-purpose finite element analysis program. Then, a) On a separate sheet of paper, give the computer results of the displacements

at node 𝑎, and the end forces in each member drawn a free-body diagram of each member.

b) Compare the correct hand calculations of the displacements and member forces with your computer results. Are they the same? Why or Why not?

c) Submit a graphic of your input data (showing node numbering, member labeling, joint loads and b.c.’s).

d) Submit a graphic of the deflected shape. e) Submit a report showing Global Information, Joint Coordinates, Boundary

Conditions, Member Information, Joint Loads, Joint Deflections, Joint Reactions and Member Forces.

When interpreting the computer results, be careful with the program’s sign convention for member forces as it is different from that used in class.

2. Analyze Problem 3 from Assignment No. 6 using the computer program RISA 2D (Educational) or any equivalent general-purpose finite element analysis program. You can neglect axial deformations in the beam, by assigning a large area. Then, a) On a separate sheet of paper, give the computer results of the joint

displacements, the end forces in each member drawn a free-body diagram of each member, and the reactions.

b) Compare the correct hand calculations with your computer results. Are they the same? Why or Why not?

c) Submit a graphic of your input data (showing node numbering, member labeling, joint loads, member loads and b.c.’s).

d) Submit a graphic of the deflected shape. e) Submit a report showing Global Information, Joint Coordinates, Boundary

Conditions, Member Information, Joint Loads, Member Loads, Joint Displacements, Joint Reactions, Member Displacements and Member Forces.

When interpreting the computer results, be careful with the program’s sign convention for member forces as it is different from that used in class.

3. Repeat Problem 5 from Assignment No. 6 using the computer program RISA 2D (Educational) or any equivalent general-purpose finite element analysis program. Then, a) On a separate sheet of paper, give the computer results of the joint

displacements, the end forces in each member drawn a free-body diagram of each member, and the reactions.

b) Compare the correct hand calculations with your computer results. Are they the same? Why or Why not?

c) Submit a graphic of your input data (showing node numbering, member labeling, loads and b.c.’s).

d) Submit a graphic of the deflected shape. e) Submit a report showing Global Information, Joint Coordinates, Boundary

Conditions, Member Information, Joint Loads, Member Loads, Joint Displacements, Joint Reactions and Member Forces.

When interpreting the computer results, be careful with the program’s sign convention for member forces as it is different from that used in class.

4. A two-lane highway bridge, supported on two deck trusses that span 64 ft, consists of an 8-in reinforced concrete slab supported on four steel stringers. The slab is protected by a 2-in wearing surface of asphalt. The 16-ft-long stringers frame into the floor beams, which in turn transfer the live and dead loads to the panel points of each truss. The truss, bolted to the left abutment at point 𝐴, may be treated as pin supported. The right end of the truss rests on an elastomeric pad at 𝐺. The elastomeric pad, which permits only horizontal displacement of the joint, can be treated as roller. The loads shown represent the total dead and live loads. The 18-kip load is an additional live load that represents a heavy wheel load. Using the computer program RISA 2D (Educational) or any equivalent general-purpose finite element analysis program, analyze the truss. Assume all members are pin connected. Then, a) From your results give the displacements at 𝐼, the member(s) that carry the

largest tensile force, the member(s) that carry the largest compressive force, the axial force and axial stress in members 𝐽𝐵,𝐽𝐶,𝐽𝐼 and 𝐶𝐷 (indicate if T or C), and the reaction applied to the abutment at support 𝐴.

b) Submit a graphic of your input data (showing node numbering, member labeling, joint loads and b.c.’s).

c) Submit a graphic of the deflected shape. d) Submit a report showing Global Information, Joint Coordinates, Boundary

Conditions, Member Information, Joint Loads, Joint Deflections, Joint Reactions, and Member Forces.

Let 𝐸 = 30,000 ksi; 𝐴 = 2 in2 for chord members, and 𝐴 = 1.5 in2 for web members.

5. Analyze the rigid frame shown below (use numbering as shown) using the computer program RISA 2D (Educational) or any equivalent general-purpose finite element analysis program. Then, a) On a separate sheet of paper give (i) the nodal displacements and rotations

at the top story (nodes 9 and 10), (ii) the support reactions, and (iii) check the equilibrium of joint 2 using a free-body diagram of the joint.

b) Submit a graphic of your input data (showing node numbering, member labeling, loads and b.c.’s).

c) Submit a graphic of the deflected shape of the frame. d) Submit a report showing Global Information, Joint Coordinates, Boundary

Conditions, Member Information, Joint Loads, Member Loads, Joint Displacements, Joint Reactions and Member Forces.