Question

A rigid beam ABC with a load of 20 kN is suspended with steel cables AD and CE of diameter of 10 mm as shown. Young's modulus $E_{steel} = 200$ GPa and thermal expansion $\alpha_{st} = 12 \times 10^{-6}/^{\circ}C$. Further, cable CE is exposed to fire which raises its temperature by $100^{\circ}C$. a) Determine the forces in each cable b) Find the displacements of points A, B, and C. 5 m D A 8 m B 4 m C 20 kN E

Name: a rigid beam abc with a load of 20 kn is suspended with steel cables ad and ce of diameter of 10 mm as shown youngs modulus esteel 200 gpa and thermal expansion alphast 12 times 10 6circc 36459
Uploaded: 2023-12-15T07:37:28-08:00
Duration: 3 min 41 s
Channel: Adi S
Description: a rigid beam abc with a load of 20 kn is suspended with steel cables ad and ce of diameter of 10 mm as shown youngs modulus esteel 200 gpa and thermal expansion alphast 12 times 10 6circc 36459

          A rigid beam ABC with a load of 20 kN is suspended with steel cables AD and CE of diameter of 10 mm as shown. Young's modulus $E_{steel} = 200$ GPa and thermal expansion $\alpha_{st} = 12 \times 10^{-6}/^{\circ}C$. Further, cable CE is exposed to fire which raises its temperature by $100^{\circ}C$.
a) Determine the forces in each cable
b) Find the displacements of points A, B, and C.
5 m
D
A
8 m
B
4 m
C
20 kN
E

a rigid beam abc with a load of 20 kn is suspended with steel cables ad and ce of diameter of 10 mm as shown youngs modulus esteel 200 gpa and thermal expansion alphast 12 times 10 6circc 36459

Added by Robert S.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Adi S

12/15/2023

Step 1

01$ m Young's modulus $E_{steel} = 200$ GPa $= 200 \times 10^9$ Pa Thermal expansion coefficient $\alpha_{st} = 12 \times 10^{-6}/^{\circ}C$ Temperature rise in cable CE, $\Delta T = 100^{\circ}C$ Length of cables $L_{AD} = L_{CE} = 5$ m Distance from A to B $= 8$ Show more…

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A rigid beam ABC with a load of 20 kN is suspended with steel cables AD and CE of diameter of 10 mm as shown. Young's modulus $E_{steel} = 200$ GPa and thermal expansion $\alpha_{st} = 12 \times 10^{-6}/^{\circ}C$. Further, cable CE is exposed to fire which raises its temperature by $100^{\circ}C$. a) Determine the forces in each cable b) Find the displacements of points A, B, and C. 5 m D A 8 m B 4 m C 20 kN E