PROBLEM 2 A steel bar is bolted to another solid steel structure as shown in Figure 2. A force 400 N, which is on the plane ABCD, is acted at E. Plane ABCD is bent vertically downward at AB by 30°. Given P= 448 mm. Show 3-D Cartesian x-, y- and z- axes at point E or F. Express the force 400 N in Cartesian vector. [Ans; F = {100v6i + 200v2j – 100VZk} N or {244.949i+ 282.843j-141.421k} N] Determine the moment caused by the force 400 N about (i) point F, (ii) M-N axis, and (iii) F-B axis, if AB= CD=75mm. Express your answer in N'm. [Ans: (i) Position vector = FE = {(448+75V3)i + 150j - 175k} mm; Mp {28.3i + 38.9j+ 127k} Nm; (ii) MN is parallel to y-axis, MMN = 38.9 Nm; (iii) UFB = 0.9035i + 0.3781j - 0.2017k; MFB = 14.7 Nm] 2a) 2b) %3D 2c) %3! %3D %3D M 100 mm F 150 mm B 30° P (mm) 150 mm 45°

PROBLEM 2 A steel bar is bolted to another solid steel structure as shown in Figure 2. A force 400 N, which is on the plane ABCD, is acted at E. Plane ABCD is bent vertically downward at AB by 30°. Given P= 448 mm. Show 3-D Cartesian x-, y- and z- axes at point E or F. Express the force 400 N in Cartesian vector. [Ans; F = {100v6i + 200v2j – 100VZk} N or {244.949i+ 282.843j-141.421k} N] Determine the moment caused by the force 400 N about (i) point F, (ii) M-N axis, and (iii) F-B axis, if AB= CD=75mm. Express your answer in N'm. [Ans: (i) Position vector = FE = {(448+75V3)i + 150j - 175k} mm; Mp {28.3i + 38.9j+ 127k} Nm; (ii) MN is parallel to y-axis, MMN = 38.9 Nm; (iii) UFB = 0.9035i + 0.3781j - 0.2017k; MFB = 14.7 Nm] 2a) 2b) %3D 2c) %3! %3D %3D M 100 mm F 150 mm B 30° P (mm) 150 mm 45°

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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Concept explainers

Laws of Equilibrium

A body is said to be in equilibrium if the system of forces acting on the body tends to keep the body at rest, in other words, there is no translation motion or net torque on the body. Under such conditions, the equilibrium conditions are to be applied to analyze the condition. The branch of mechanics that deals with this condition is known as 'statics'. Under equilibrium, there are no net forces on the body.

Question

Page I of 2
PROBLEM 2
A steel bar is bolted to another solid steel structure as shown in Figure 2. A force 400 N, which is on
the plane ABCD, is acted at E. Plane ABCD is bent vertically downward at AB by 30°. Given P=
448 mm.
Show 3-D Cartesian x-, y- and z- axes at point E or F.
Express the force 400 N in Cartesian vector.
[Ans; F = {100v6i + 200v2j – 100vZk} N or {244.949i + 282.843j-141.421k} N]
Determine the moment caused by the force 400 N about (i) point F, (ii) M-N axis, and (iii)
F-B axis, if AB = CD = 75mm. Express your answer in N'm.
[Ans: (i) Position vector = FE = {(448+75V3)i + 150j 175k} mm; MF {28.3i + 38.9j +
127k} Nm; (ii) MN is parallel to y-axis, MMN= 38.9 Nm; (iii) uFB = 0.9035i + 0.3781j -
0.2017k; MFB = 14.7 Nm]
2a)
2b)
%3D
2c)
M
100 mm
150 mm
30°
B
P (mm)
D
150 mm
45°
400 N
Figure 2

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