1. The girder in the figure is made from a uniform beam and reinforced at its center with cover plates where its moment of inertia is larger. The 4-m end segments have a moment of inertia of 1 = 280 (10) mm², and the center portion has a moment of inertia of l' = 560(10) mm². Determine the displacement at the center C. Take E = 200 GPa. The reactions are given.

Construction Materials, Methods and Techniques (MindTap Course List)
4th Edition
ISBN:9781305086272
Author:William P. Spence, Eva Kultermann
Publisher:William P. Spence, Eva Kultermann
Chapter18: Wood, Plastics, And Composites
Section: Chapter Questions
Problem 5RQ
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TABLE 1.2 Minimum Densities for Design
Loads from Materials
Aluminum
Concrete, cinder
Concrete, stone
Clay, dry
Clay, damp
Sand and gravel, dry loose
Sand and gravel, wet
Masonry, lightweight concrete
Masonry, normal weight units
Steel, cold-drawn
Wood, Douglas Fir
Wood, Southern Pine
Wood, spruce
AN/w
27
120
22.6
123
15.7
18.9
165
21.2
5.7
723
5.3
5.8
45
TABLE 1.3 Minimum Design Dead Loads
From Paris and Walls
Wood 1x plated
Woodplatered
Woodst 51x32mm, platered
Cindere per
Lightweight complaine
Ceilings
Aucuntic Shond
Spendedahand
Angle
5.54
9.57
2017
005
8:24
0.41
904
TABLE 1.4 Minimum Live Loade
Oorspany or Use
Amely
Fixed seats
and at
Garage (can only)
Officeday
Lebbin
Love Load
4.79
192
4.79
VEST
S
Occupancy or Use
Dwelings (one-and two-mily)
Hotels and many bo
Private and don
Campos
Fint Coor comidon
Comidon abfint floor
Live Lead
KN/²
190
4.39
3.33
Transcribed Image Text:TABLE 1.2 Minimum Densities for Design Loads from Materials Aluminum Concrete, cinder Concrete, stone Clay, dry Clay, damp Sand and gravel, dry loose Sand and gravel, wet Masonry, lightweight concrete Masonry, normal weight units Steel, cold-drawn Wood, Douglas Fir Wood, Southern Pine Wood, spruce AN/w 27 120 22.6 123 15.7 18.9 165 21.2 5.7 723 5.3 5.8 45 TABLE 1.3 Minimum Design Dead Loads From Paris and Walls Wood 1x plated Woodplatered Woodst 51x32mm, platered Cindere per Lightweight complaine Ceilings Aucuntic Shond Spendedahand Angle 5.54 9.57 2017 005 8:24 0.41 904 TABLE 1.4 Minimum Live Loade Oorspany or Use Amely Fixed seats and at Garage (can only) Officeday Lebbin Love Load 4.79 192 4.79 VEST S Occupancy or Use Dwelings (one-and two-mily) Hotels and many bo Private and don Campos Fint Coor comidon Comidon abfint floor Live Lead KN/² 190 4.39 3.33
1. The girder in the figure is made from a uniform beam and reinforced
at its center with cover plates where its moment of inertia is larger.
The 4-m end segments have a moment of inertia of 1 = 280(106) mm²,
and the center portion has a moment of inertia of l' = 560(106) mm².
Determine the displacement at the center C. Take E = 200 GPa. The
reactions are given.
40 KN 50KN
40 kN
I=
I=
280(106) mm 560(106) mm4, 280(106) mm4
4m2m 2 m 4 m
real beam
B
Transcribed Image Text:1. The girder in the figure is made from a uniform beam and reinforced at its center with cover plates where its moment of inertia is larger. The 4-m end segments have a moment of inertia of 1 = 280(106) mm², and the center portion has a moment of inertia of l' = 560(106) mm². Determine the displacement at the center C. Take E = 200 GPa. The reactions are given. 40 KN 50KN 40 kN I= I= 280(106) mm 560(106) mm4, 280(106) mm4 4m2m 2 m 4 m real beam B
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Cengage Learning