P5.4 Three solid cylindrical rods are welded together to form the compound axial member shown in Figure P5.4. The compound axial member is attached to a fixed support at A. Each rod has an elastic modulus of E = 40 GPa. Use the following values for the rod lengths and areas: L₁ = 1,440 mm, L₂= 1,680 mm, L3= 1,200 mm, A₁ = 260 mm², 4₂ = 130 mm², and 43 = 65 mm². What magnitude of external load P is needed to displace end D a distance of up = 60 mm to the right? L₁ L2 L3 (1) A B (2) (3) D P FIGURE P5.4

P5.4 Three solid cylindrical rods are welded together to form the compound axial member shown in Figure P5.4. The compound axial member is attached to a fixed support at A. Each rod has an elastic modulus of E = 40 GPa. Use the following values for the rod lengths and areas: L₁ = 1,440 mm, L₂= 1,680 mm, L3= 1,200 mm, A₁ = 260 mm², 4₂ = 130 mm², and 43 = 65 mm². What magnitude of external load P is needed to displace end D a distance of up = 60 mm to the right? L₁ L2 L3 (1) A B (2) (3) D P FIGURE P5.4

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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Frames

The trusses and frames are the two most important structural members of civil engineering. Trusses are the interconnection of links and other structural members. The interconnection with other members makes the system behave as a single member that supports and transfers loads. Trusses are generally two types, plane truss, and space truss. Frames on the other hand form the skeleton of any building construction. Frames are structures formed by the connection of beams, columns, slabs, and joists. These members provide the building with the required structural support.

Question

P5.4 Three solid cylindrical rods are welded together to form the compound axial member shown in
Figure P5.4. The compound axial member is attached to a fixed support at A. Each rod has an elastic
modulus of E = 40 GPa. Use the following values for the rod lengths and areas: L₁ = 1,440 mm, L₂=
1,680 mm, L3= 1,200 mm, A₁ = 260 mm², 4₂ = 130 mm², and 43 = 65 mm². What magnitude of
external load P is needed to displace end D a distance of up = 60 mm to the right?
L₁
L2
L3
(1)
A
B
(2)
C
(3)
D
P
FIGURE P5.4

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