Traffic and Highway Engineering - With Mindtap
5th Edition
ISBN: 9781305360990
Author: Garber
Publisher: CENGAGE L
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Chapter 3, Problem 20P
3
To determine
The maximum safe speed for the given radius of curve.
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A load of P = 114 kN is supported by a structure consisting of rigid bar ABC, two identical solid bronze [E = 116 GPa] rods, and a solid
steel [E=192 GPa] rod, as shown. The bronze rods (1) each have a diameter of 19 mm and they are symmetrically positioned relative
to the center rod (2) and the applied load P. Steel rod (2) has a diameter of 28 mm. All bars are unstressed before the load P is applied;
however, there is a 1.5-mm clearance in the bolted connection at B. Assume L₁ = 2.4m and L2 = 1.5 m. Determine:
(a) the normal stresses in the bronze and steel rods (01,02).
(b) the downward deflection of rigid bar ABC.
(1)
Answers:
(a)σ1
=
(b) vi
L2
(2)
(1)
B
P
mm.
Li
MPa, 02
MPa.
=
A high-density polvethelene (HD PE I9 - 780 MPaiy = 0.46 rod has a diameter of 70 mm before load Pis applied. In order to maintain
certain clearances, the diameter of the rod must not exceed 72 mm when loaded. What is the largest permissible compressive load P that can be applied to the HDPE rod?
Current Attempt in Progress
A load of P 117 kN is supported by a structure consisting of rigid bar ABC, two identical solid bronze [E= 83 GPa] rods, and a solid
steel [E 182 GPa] rod, as shown. The bronze rods (1) each have a diameter of 20 mm and they are symmetrically positioned relative
to the center rod (2) and the applied load P. Steel rod (2) has a diameter of 26 mm. All bars are unstressed before the load Pis applied;
however, there is a 3.4-mm clearance in the bolted connection at B. Assume L₁ = 3.3 m and L2 = 1.6 m. Determine:
(a) the normal stresses in the bronze and steel rods (01, 02).
(b) the downward deflection v of rigid bar ABC.
(1)
Answers:
L2
(2)
(1)
B
P
(a) σ =
(b) y =
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MPa.
MPa, 02 =
mm.
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