Two forces are applied to a structure. F1 has a magnitude of 950 N and its direction makes angles of 45° with respect to the x-axis, 120° with respect to the y-axis, and 30° with respect to the z-axis. F2 is given as (10i -50j + 50k) N. Find the resultant vector R=F, +F, in terms of its rectangular components, find the magnitude of R, and determine the unit vector in the direction of R (R ).

Two forces are applied to a structure. F1 has a magnitude of 950 N and its direction makes angles of 45° with respect to the x-axis, 120° with respect to the y-axis, and 30° with respect to the z-axis. F2 is given as (10i -50j + 50k) N. Find the resultant vector R=F, +F, in terms of its rectangular components, find the magnitude of R, and determine the unit vector in the direction of R (R ).

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

1. Two forces are applied to a structure. F1 has a magnitude of 950 N and its direction
makes angles of 45° with respect to the x-axis, 120° with respect to the y-axis, and 30°
with respect to the z-axis. F2 is given as (10i -50j + 50k) N. Find the resultant vector
R=F +F, in terms of its rectangular components, find the magnitude of R, and
determine the unit vector in the direction of R (AR ).

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