A wooden beam is loaded by a distributed load w = 7 N/mm as shown in Figure Q4(a). The cross- section of the beam is shown in Figure Q4(b). Assume that LAB = 1800 mm, LBC = 3200 mm, W=190 mm, Bo= 30 mm, and H= 210 mm, ho=20 mm. Units: use N, mm, MPa as consistent units for all calculations. Decimal points: any decimal points are fine and all the numerical questions have a 10% error tolerance. Steps: Fill the gaps in the "steps" to get some marks from the working-out process. Adaptive marking is still used. (a) (b) A X W LAB B LBC oo Bo Cross-section hot 1 Wo H y Y Figure Q4: (a) A wooden beam is loaded by a distributed load, (b) cross-section of the beam. N Qa a) Determine the 2nd moment of area of this cross-section with respect to the z-axis in Figure Q4(b)? I = mmª

A wooden beam is loaded by a distributed load w = 7 N/mm as shown in Figure Q4(a). The cross- section of the beam is shown in Figure Q4(b). Assume that LAB = 1800 mm, LBC = 3200 mm, W=190 mm, Bo= 30 mm, and H= 210 mm, ho=20 mm. Units: use N, mm, MPa as consistent units for all calculations. Decimal points: any decimal points are fine and all the numerical questions have a 10% error tolerance. Steps: Fill the gaps in the "steps" to get some marks from the working-out process. Adaptive marking is still used. (a) (b) A X W LAB B LBC oo Bo Cross-section hot 1 Wo H y Y Figure Q4: (a) A wooden beam is loaded by a distributed load, (b) cross-section of the beam. N Qa a) Determine the 2nd moment of area of this cross-section with respect to the z-axis in Figure Q4(b)? I = mmª

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 wooden beam is loaded by a distributed load w = 7 N/mm as shown in Figure Q4(a). The cross-
section of the beam is shown in Figure Q4(b). Assume that LAB = 1800 mm, LBC = 3200 mm, W=190
mm, B₁ = 30 mm, and H = 210 mm, h=20 mm.
Units: use N, mm, MPa as consistent units for all calculations.
Decimal points: any decimal points are fine and all the numerical questions have a 10% error tolerance.
Steps: Fill the gaps in the "steps" to get some marks from the working-out process. Adaptive marking is
still used.
(a)
(b)
A
777777
W
LAB
=
B
LBC
Bo
Cross-section
hot
H
X
yx
Figure Q4: (a) A wooden beam is loaded by a distributed load, (b) cross-section of the beam.
Wo
y √²
Qa
a) Determine the 2nd moment of area of this cross-section with respect to the z-axis in Figure Q4(b)?
I
mm4

b) Calculate support reactions in A and C, remember the sign of the force.
Reaction force at point A:
x-direction: XA=
Reaction force at point C:
x-direction: Xc=
N, y-direction: YA=
N, y-direction: Yc=
N
N

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