The planar truss with its support conditions and loads is shown in the Figure below. The cross-sectional area of the bars is A= 1 in?; The Young's modulus is E= 30 x10° psi; and the length of the bars are L1=6ft, L2=5ft, L3=3ft and L4=6 ft. a=30°, B=35°, y=55°, 0=50° Nodes 1, 2, and 3 are pinned. Determine (Write values not parameters in each case) 1. Angle defining the orientation of the element w.r.t. the Global Coordinate System X-Y 20% 2. Element stiffness matrix of each element 3. Global stiffness matrix after applying boundary conditions 4. Loading vector after applying boundary conditions 5. Displacements at nodes 4 and 5 6. Stresses

The planar truss with its support conditions and loads is shown in the Figure below. The cross-sectional area of the bars is A= 1 in?; The Young's modulus is E= 30 x10° psi; and the length of the bars are L1=6ft, L2=5ft, L3=3ft and L4=6 ft. a=30°, B=35°, y=55°, 0=50° Nodes 1, 2, and 3 are pinned. Determine (Write values not parameters in each case) 1. Angle defining the orientation of the element w.r.t. the Global Coordinate System X-Y 20% 2. Element stiffness matrix of each element 3. Global stiffness matrix after applying boundary conditions 4. Loading vector after applying boundary conditions 5. Displacements at nodes 4 and 5 6. Stresses

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Load on Structures

Civil engineers primarily deal with beams in their day-to-day applications. A beam is a structural member that resists shear loadings. There are various types of beams such as cantilever beam, simply supported beam, and over the hanging beam. All these beams have a different end and loading conditions.

Question

The planar truss with its support conditions and loads is shown in the Figure below. The cross-sectional area of the bars is
A= 1 in?; The Young's modulus is E= 30 x106 psi; and the length of the bars are L1=6ft, L2=5ft, L3=3ft and L4=6 ft.
a=30°, B=35°, y=55°, 0=50°
Nodes 1, 2, and 3 are pinned.
Determine (Write values not parameters in each case)
1. Angle defining the orientation of the element w.r.t. the Global Coordinate System X-Y 20%
2. Element stiffness matrix of each element
3. Global stiffness matrix after applying boundary conditions
4. Loading vector after applying boundary conditions
5. Displacements at nodes 4 and 5
6. Stresses
1
2
500 lbs
α
B
300 lbs
5
(3
4
X
4
3

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A pin-jointed truss ABC shown below consists of two links AB and BC. These links are 6 mm thick and 20 mm wide as shown. There are support brackets at A and C. All pins are 12 mm in diameter and a vertical force, P = 9 kN is applied at pin B as shown. The angle 0 =38 deg. and the angle ẞ = 0 + 20 deg. The normal stress in link AB is (The result is accurate to one decimal place, in the unit MPa. Please write down only the value of your final result) · 12mm 9 20mm -1.0m⋅ B