A pin-connected truss is loaded and supported as shown. Determinea. The normal stress in member DE if it has a cross-sectional area of 750mm?.b. The minimal cross-sectional area for member BC if the normal stressis limited to 30 MPaB3 mEFD- 3 m-- 3 m- 3 m10 kN15 kN

Answered: B 3 m E - 3 m - 3 m - 3 m · 10 kN 15 kN

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

A pin-connected truss is loaded and supported as shown. Determine
a. The normal stress in member DE if it has a cross-sectional area of 750
mm?.
b. The minimal cross-sectional area for member BC if the normal stress
is limited to 30 MPa
B
3 m
E
F
D
- 3 m-
- 3 m
- 3 m
10 kN
15 kN

Expert Solution

Step 1

Calculate the reaction at the support,

$V_{A} + V_{F} = 10 + 15 V_{A} + V_{F} = 25 k N . . . . . . . . . . . . . . . . (1) T a k i n g m o m e n t a b o u t A, 10 \times 3 + 15 \times 6 - V_{F} \times 9 = 0 30 + 90 - 9 V_{F} = 0 V_{F} = \frac{120}{9} V_{F} = \frac{40}{3} k N F r o m e q u a t i o n 1 . V_{A} = 25 - \frac{40}{3} V_{A} = \frac{35}{3} k N$

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