Two- and Three-Force Members
As shown, a load of magnitude P is applied to a structure. Assuming that all members are weightless and that ABEF and BCD are rigid bodies, find the magnitudes of the reactions at D and G needed to maintain the structure in equilibrium.
Assume the following values: a = 3.00m , b = 2.00m , and P = 102N
Homework Answers
Find F_D and F_G
As shown, a load of magnitude is applied to a structure. Assuming that all members are weightless and that ABEF and BCD are rigid bodies, find the magnitudes ofthe reactions at D and G needed to maintain the structure in equilibrium.Assume the following values: a = 3.30m , b = 2.20m , and P = 104N.
Statics Problem
As shown, a loadof magnitude is applied to a structure. Assuming that all members are weightless and that ABEF and BCD are rigid bodies, find the magnitudes of the reactions at Dand G needed to maintain the structure in equilibrium.Assume the following values: a = 4.50 , b = 3.00 , and P = 110 .
Problem 1 The rigid structure shown in the figure below is loaded with a concentric couple...
Problem 1 The rigid structure shown in the figure below is loaded with a concentric couple applied at H of 75 kNm and a concentric horizontal force of 40 kN. A distributed load spans from point D through E with minimum amplitude of 10 kN/m and a maximum of 30 kN/m, respectively. The structure is externally supported by a roller at A, the cable BC and a pin at G. Please do the following: 1. Draw a neat Free Body...
Identify the two- and three-force members in the following figure. Consider only the members...
Two- and three-force members are two particular types of members that occur frequently in structures. Two- and three-force members play an important role insimplifying the analysis of structures in equilibrium.Two-Force Members: A two-force member is an object in equilibrium on which forces act at exactly two points. Because the object is inforce equilibrium, the resultant forces acting at the two points must have equal magnitudes and opposite directions. And because the object is in momentequilibrium, the two resultant forces must...
3. Three point masses are attached to a rigid and weightless frame. When the force with...
3. Three point masses are attached to a rigid and weightless frame. When the force with magnitude 10 is applied to the system as shown, (a) what is the acceleration of the system center of mass, and (b) what is the angular acceleration of the frame? The applied force and motion of the system happen in a horizontal plane. Assume no friction.
Rigid bar BCD is supported by a pin at C and aluminum rod (1)
Rigid bar BCD is supported by a pin at C and aluminum rod (1). A concentrated load P is applied to the lower end of the aluminum rod (2) which is attached to the rigid bar at D. The cross sectional area of each rod is A»0.20 in2 and the elastic modulus of the aluminum material is E=9200 ksi. The coefficient of thermal expansion 12.5 x 10-6/°F. After the load P is applied and the structure has been CoOLED by...
Use any simple rigid structure such as a lamp post or a bridge Only 1 and...
Use any simple rigid structure such as a lamp post or a
bridge
Only 1 and 2, Thanks!
Module 1b. Equilibrium of a Rigid Body 1.1 OBJECTIVE To appreciate the application of equilibrium of a rigid body (structure) in our daily life. 1.2 ACHIEVEMENT OF UNIT LEARNING OUTCOMES (ULO) The unit learning outcomes that have been achieved by this assignment are summarized in Table P1. 1 Table P1 Learning outcomes that are achievable by take-home assignment 1 Achievable ULO ULO...
Question 2 (15 points): Tension, Compression and Zero-Force Members in a Truss Structure. Consider the truss...
Question 2 (15 points): Tension, Compression and Zero-Force Members in a Truss Structure. Consider the truss structure shown in Figure 2. 3P (kN) P (kN) I LI LL Figure 2: Elevation view of 27 bar truss structure. Vertical loads of 3P kN and P kN are applied at nodes B and D, respectively. [2a) (3 pts). Compute the magnitude and direction of the total support reactions at points A and C. [25] (3 pts). Identify the zero-force members (If you...
Two rigid bodies, 2 and 3, are connected by three springs as shown in the figure....
Two rigid bodies, 2 and 3, are connected by three springs as shown in the figure. A horizontal force of 1,000 N is applied on Body 3 as shown in the figure. Find the displacements of the three bodies and the forces (tensile/compressive) in the springs. What is the reaction at the wall? Assume the bodies can undergo only translation in the horizontal direction. The spring constants (N/mm) are kg = 400 kg = 500 ks = 500 N mm...
A two-dimensional two-pinned portal frame ABCDE is pinned to rigid supports at positions A and E,...
A two-dimensional two-pinned portal frame ABCDE is pinned to rigid supports at positions A and E, and a concentrated couple of 350 kNm acting clockwise is applied at C as shown in Figure Q3. All members of the portal frame are made from the same steel section. 350 kNm 6 m EI CONSTANT FOR ALL MEMBERS 6 m 4 m Fgure Q3 Determine, using methods incorporating strain energy where appropriate. the magnitude and direction of the vertical and horizontal reactions...
Problem 1 The rigid structure shown in the figure below is loaded with a concentric couple applied at H of 75 kNm and a concentric horizontal force of 40 kN. A distributed load spans from point D through E with minimum amplitude of 10 kN/m and a maximum of 30 kN/m, respectively. The structure is externally supported by a roller at A, the cable BC and a pin at G. Please do the following: 1. Draw a neat Free Body...
Two- and three-force members are two particular types of members that occur frequently in structures. Two- and three-force members play an important role insimplifying the analysis of structures in equilibrium.Two-Force Members: A two-force member is an object in equilibrium on which forces act at exactly two points. Because the object is inforce equilibrium, the resultant forces acting at the two points must have equal magnitudes and opposite directions. And because the object is in momentequilibrium, the two resultant forces must...
3. Three point masses are attached to a rigid and weightless frame. When the force with magnitude 10 is applied to the system as shown, (a) what is the acceleration of the system center of mass, and (b) what is the angular acceleration of the frame? The applied force and motion of the system happen in a horizontal plane. Assume no friction.
Use any simple rigid structure such as a lamp post or a
bridge
Only 1 and 2, Thanks!
Module 1b. Equilibrium of a Rigid Body 1.1 OBJECTIVE To appreciate the application of equilibrium of a rigid body (structure) in our daily life. 1.2 ACHIEVEMENT OF UNIT LEARNING OUTCOMES (ULO) The unit learning outcomes that have been achieved by this assignment are summarized in Table P1. 1 Table P1 Learning outcomes that are achievable by take-home assignment 1 Achievable ULO ULO...
Question 2 (15 points): Tension, Compression and Zero-Force Members in a Truss Structure. Consider the truss structure shown in Figure 2. 3P (kN) P (kN) I LI LL Figure 2: Elevation view of 27 bar truss structure. Vertical loads of 3P kN and P kN are applied at nodes B and D, respectively. [2a) (3 pts). Compute the magnitude and direction of the total support reactions at points A and C. [25] (3 pts). Identify the zero-force members (If you...
Two rigid bodies, 2 and 3, are connected by three springs as shown in the figure. A horizontal force of 1,000 N is applied on Body 3 as shown in the figure. Find the displacements of the three bodies and the forces (tensile/compressive) in the springs. What is the reaction at the wall? Assume the bodies can undergo only translation in the horizontal direction. The spring constants (N/mm) are kg = 400 kg = 500 ks = 500 N mm...
A two-dimensional two-pinned portal frame ABCDE is pinned to rigid supports at positions A and E, and a concentrated couple of 350 kNm acting clockwise is applied at C as shown in Figure Q3. All members of the portal frame are made from the same steel section. 350 kNm 6 m EI CONSTANT FOR ALL MEMBERS 6 m 4 m Fgure Q3 Determine, using methods incorporating strain energy where appropriate. the magnitude and direction of the vertical and horizontal reactions...
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