Prob. 2.6-10. A rigid, weightless beam BD supports a load P and is, in turn, supported by two hanger rods, (1) and (2), as shown in Fig. P2.6-10. The rods are initially the same length L = 2 m and are made of the same material. Their rectangu- lar cross sections have original dimensions (w₁ = 40 mm, t₁ = 20 mm) and (w₂ = 50 mm, 2 = 25 mm), respectively. LBD = 1.5 m. (a) At what location, b, must the load P act if the rigid bar BD is to remain horizontal when the load is ap- plied? (b) If the longitudinal strain in the hanger rods is €₁= €₂ = 500μ when the load is P = 205 kN, what is the value of the modulus of elasticity, E? (c) If application of load P in the manner described in Parts (a) and (b) above causes the dimension w₂ of hanger rod (2) to be reduced from 50 mm to 49.9918 mm, what is the value of Poisson's ratio, v, for this material? B -1.5 m E Rigid, weightless с P2.6-10 2 D 2m

Prob. 2.6-10. A rigid, weightless beam BD supports a load P and is, in turn, supported by two hanger rods, (1) and (2), as shown in Fig. P2.6-10. The rods are initially the same length L = 2 m and are made of the same material. Their rectangu- lar cross sections have original dimensions (w₁ = 40 mm, t₁ = 20 mm) and (w₂ = 50 mm, 2 = 25 mm), respectively. LBD = 1.5 m. (a) At what location, b, must the load P act if the rigid bar BD is to remain horizontal when the load is ap- plied? (b) If the longitudinal strain in the hanger rods is €₁= €₂ = 500μ when the load is P = 205 kN, what is the value of the modulus of elasticity, E? (c) If application of load P in the manner described in Parts (a) and (b) above causes the dimension w₂ of hanger rod (2) to be reduced from 50 mm to 49.9918 mm, what is the value of Poisson's ratio, v, for this material? B -1.5 m E Rigid, weightless с P2.6-10 2 D 2m

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

Prob. 2.6-10. A rigid, weightless beam BD supports a load P
and is, in turn, supported by two hanger rods, (1) and (2), as
shown in Fig. P2.6-10. The rods are initially the same length
L = 2 m and are made of the same material. Their rectangu-
lar cross sections have original dimensions (w₁ = 40 mm,
t₁ = 20 mm) and (w₂ = 50 mm, 2 = 25 mm), respectively.
LBD = 1.5 m. (a) At what location, b, must the load P act if
the rigid bar BD is to remain horizontal when the load is ap-
plied? (b) If the longitudinal strain in the hanger rods is
€₁= €₂ = 500μ when the load is P = 205 kN, what is the
value of the modulus of elasticity, E? (c) If application of
load P in the manner described in Parts (a) and (b) above
causes the dimension w₂ of hanger rod (2) to be reduced
from 50 mm to 49.9918 mm, what is the value of Poisson's
ratio, v, for this material?
B
-1.5 m
E
Rigid, weightless
с
P2.6-10
2
D
2m

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