The elevation and plan views of a truss girder steel bridge are shown below in figure 1. The deck system consists of a 5
Posted: Tue Apr 26, 2022 1:49 pm
Please do consider the self load of the truss
The elevation and plan views of a truss girder steel bridge are shown below in figure 1. The deck system consists of a 5-in-thick reinforced concrete slab resisting on several floor beams along (A-A', B-B', C-C', and D-D), which in turn are supported by two identical stringers (3-4, and 5-6) and two lower chords of the truss (1-2 and 7-8). The floor beams are made up of steel with a cross sectional area A - 29.4 in?, moment of inertia I - 1490 in', and modulus of elasticity E - 29,000 ksi. The three stringers are also made in steel, and they have a moment of inertia I = 4020 inch', cross sectional area A=38.5 in”, and modulus of elasticity of E = 29,000 ksi. The deck plan view is shown with the lower chord beams, 1-2, and 7-8, each with a cross sectional area A-52.3 in?, moment of inertia I - 6990 in', and modulus of elasticity E = 29,000 ksi. The truss members have a total weight of 2.9 lb/ft that must be added to the lower chord self-weight in the calculation. The live load is a standard HS20 truck shown in figure 2. Each stringer and lower chord beam can be considered as a simply supported beam. The design of the live load is based on the position of the HS20 to create the max internal forces on the deck system. Considering a system of external forces composed of the self-weight of the elements and the HS20, you will need to determine the position of the truck to find the max internal forces in the truss members. Your main objective is to determine the member forces in the truss for the dead load and live load as described above. For the same truck position, draw the shear, and moment diagrams of a stringer and one interior beam. Finally, place the HS20 to calculate the max deflection in one stringer and one interior beam. Hint: 1. You may use the resultant of the loads applied by each wheel of the HS20. 2- Use influence line for positioning the truck axle weighs for maximum effects. Do some literature search, structural analysis texts, online search for this purpose. Grading and teams: 1. This is project and there may be several correct ways or answers to the problem. The idea is to follow the right procedure and come up with reasonable numbers then you have done well. 2. You will be divided into teams of 4-5 members (we will place you in teams). Indicate the number of the group on the first page of your project with along the group members and the percent contribution of each team member 3. The entire project's worth 10% of your grade. Front View (a) T NN 1 104 10 小小小 10 10 10 1 10 60 A C E Plan View ) (b) с G Figure 1. Truss bridge elevation view (a). Deck system plan view (b). 8 k 32 k 32 k 14ft 20ft Figure 2. HS20 truck.
The elevation and plan views of a truss girder steel bridge are shown below in figure 1. The deck system consists of a 5-in-thick reinforced concrete slab resisting on several floor beams along (A-A', B-B', C-C', and D-D), which in turn are supported by two identical stringers (3-4, and 5-6) and two lower chords of the truss (1-2 and 7-8). The floor beams are made up of steel with a cross sectional area A - 29.4 in?, moment of inertia I - 1490 in', and modulus of elasticity E - 29,000 ksi. The three stringers are also made in steel, and they have a moment of inertia I = 4020 inch', cross sectional area A=38.5 in”, and modulus of elasticity of E = 29,000 ksi. The deck plan view is shown with the lower chord beams, 1-2, and 7-8, each with a cross sectional area A-52.3 in?, moment of inertia I - 6990 in', and modulus of elasticity E = 29,000 ksi. The truss members have a total weight of 2.9 lb/ft that must be added to the lower chord self-weight in the calculation. The live load is a standard HS20 truck shown in figure 2. Each stringer and lower chord beam can be considered as a simply supported beam. The design of the live load is based on the position of the HS20 to create the max internal forces on the deck system. Considering a system of external forces composed of the self-weight of the elements and the HS20, you will need to determine the position of the truck to find the max internal forces in the truss members. Your main objective is to determine the member forces in the truss for the dead load and live load as described above. For the same truck position, draw the shear, and moment diagrams of a stringer and one interior beam. Finally, place the HS20 to calculate the max deflection in one stringer and one interior beam. Hint: 1. You may use the resultant of the loads applied by each wheel of the HS20. 2- Use influence line for positioning the truck axle weighs for maximum effects. Do some literature search, structural analysis texts, online search for this purpose. Grading and teams: 1. This is project and there may be several correct ways or answers to the problem. The idea is to follow the right procedure and come up with reasonable numbers then you have done well. 2. You will be divided into teams of 4-5 members (we will place you in teams). Indicate the number of the group on the first page of your project with along the group members and the percent contribution of each team member 3. The entire project's worth 10% of your grade. Front View (a) T NN 1 104 10 小小小 10 10 10 1 10 60 A C E Plan View ) (b) с G Figure 1. Truss bridge elevation view (a). Deck system plan view (b). 8 k 32 k 32 k 14ft 20ft Figure 2. HS20 truck.