Problem 2.4-16 2.4-16 A rigid bar of weight W = 800 N hangs from three equally spaced vertical wires (length L = 150 mm, spacing a = 50 mm): two of steel and one of alumi- num. The wires also support a load P acting on the bar. The diameter of the steel wires is d, = 2 mm, and the diameter of the aluminum wire is d = 4 mm. Assume E, = 210 GPa and E, = 70 GPa. L. A Rigid bar of weight W (a) (a) What load Pallow can be supported at the mid- point of the bar (x = a) if the allowable stress in S SA the steel wires is 220 MPa and in the aluminum Rigid bar of weight W wire is 80 MPa? (See figure part a.) (b) What is Pllow if the load is positioned at x = al2? (See figure part a.) (c) Repeat part (b) if the second and third wires are switched as shown in the figure part b. (b) PROBLEM 2.4-16 a = 9 au dn = 4 mn En= 70 GPa Given: W- 800N Es 210 GPa L= (S0 man ds 2 oum Is>220 MPa, Ta- B0 MPa imiDpoIn) * 12 Find: 1) Pax IF b) Puaxo iF AT

Problem 2.4-16 2.4-16 A rigid bar of weight W = 800 N hangs from three equally spaced vertical wires (length L = 150 mm, spacing a = 50 mm): two of steel and one of alumi- num. The wires also support a load P acting on the bar. The diameter of the steel wires is d, = 2 mm, and the diameter of the aluminum wire is d = 4 mm. Assume E, = 210 GPa and E, = 70 GPa. L. A Rigid bar of weight W (a) (a) What load Pallow can be supported at the mid- point of the bar (x = a) if the allowable stress in S SA the steel wires is 220 MPa and in the aluminum Rigid bar of weight W wire is 80 MPa? (See figure part a.) (b) What is Pllow if the load is positioned at x = al2? (See figure part a.) (c) Repeat part (b) if the second and third wires are switched as shown in the figure part b. (b) PROBLEM 2.4-16 a = 9 au dn = 4 mn En= 70 GPa Given: W- 800N Es 210 GPa L= (S0 man ds 2 oum Is>220 MPa, Ta- B0 MPa imiDpoIn) * 12 Find: 1) Pax IF b) Puaxo iF AT

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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Question

Problem 2.4-16
2.4-16 A rigid bar of weight W = 800 N hangs from
three equally spaced vertical wires(length L = 150 mm,
spacing a = 50 mm): two of steel and one of alumi-
num. The wires also support a load P acting on the
bar. The diameter of the steel wires is d, = 2 mm,
and the diameter of the aluminum wire is d, = 4 mm.
Assume E, = 210 GPa and E, = 70 GPa.
L.
A
Rigid bar
of weight W
(a)
(a) What load Pallow can be supported at the mid-
point of the bar (x = a) if the allowable stress in
S SA
the steel wires is 220 MPa and in the aluminum
Rigid bar
of weight W
wire is 80 MPa? (See figure part a.)
(b) What is Pllow if the load is positioned at x = a/2?
(See figure part a.)
(c) Repeat part (b) if the second and third wires are
switched as shown in the figure part b.
(b)
PROBLEM 2.4-16
a = 0 au
dn = 4 mn
En= 70 GPa
Given:
w- 800N
Es
210 GPa
L= (S0 mal ds 2 aum
Uso220 MPa, Tao 80 MPa imiDpoIn)
* 12
Find: 1) Pmax
IF
b) Puaxo F
AT

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