Question

Consider the bar modeled by 2 elements as shown below. An axial load P = 200 kN is applied to node 1. (1) Determine the nodal displacements at nodes 1 and 2. (2) Determine the stresses in elements 1 and 2. (3) Determine the reaction force at node 3. Element 1 A¹ = 2400 mm² E¹ = 70 x 10? N/m² Element 2 A² = 600 mm² E² = 200 x 10? N/m² P 1 2 3 u? u? u? 300 mm 400 mm

          Consider the bar modeled by 2 elements as shown below. An axial load
P = 200 kN is applied to node 1.
(1) Determine the nodal displacements at nodes 1 and 2.
(2) Determine the stresses in elements 1 and 2.
(3) Determine the reaction force at node 3.

Element 1
A¹ = 2400 mm²
E¹ = 70 x 10? N/m²
Element 2
A² = 600 mm²
E² = 200 x 10? N/m²

P
1
2
3
u?
u?
u?
300 mm
400 mm

Consider the bar modeled by 2 elements as shown below. An axial load
P = 200 kN is applied to node 1.
(1) Determine the nodal displacements at nodes 1 and 2.
(2) Determine the stresses in elements 1 and 2.
(3) Determine the reaction force at node 3.

Element 1
A¹ = 2400 mm²
E¹ = 70 x 10? N/m²
Element 2
A² = 600 mm²
E² = 200 x 10? N/m²

P
1
2
3
u?
u?
u?
300 mm
400 mm

Added by Patricia L.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Sri K

06/07/2023

Step 1

The stiffness \( k \) of an element in axial loading is given by the formula \( k = \frac{EA}{L} \), where \( E \) is the Young's modulus, \( A \) is the cross-sectional area, and \( L \) is the length of the element. For Element 1: \[ k_1 = \frac{E_1 A_1}{L_1} = Show more…

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