Homework Answers
Q1. Two rigid members (BCDE and EKN) are connected by a pin at E. The structure is supported by a...
Q1. Two rigid members (BCDE and EKN) are connected by a pin at E. The structure is supported by a pin at B and two rollers at D and N. An inclined distributed load is acting between E and K with the horizontal (12 kN/m) and vertical (16 kN/m) components. Neglect own weights and thicknesses of the members. f w 26.667 kN/m, 1.5m Draw necessary free body diagrams and determine the reaction forces at roller supports (D and N) and...
The rigid frame shown below is supported by Pin A and Roller C.
The rigid frame shown below is supported by Pin A and Roller C. [Point B is a rigid joint.] The frame supports a uniformly distributed load of 20 kN/m (downward) in Region BC, and a 250 kN point load (downward) located halfway between Pin A and rigid joint B. The modulus of elasticity of the entire frame is E = 200 GPa and the moment of inertia is I = 500 x 106 mm4. Determine the rotation (slope) at Joint...
5) Two rigid members (AE and ABCD) are connected by a pin at A. CK is another rigid bar supported...
5) Two rigid members (AE and ABCD) are connected by a pin at A. CK is another rigid bar supported by a fixed-end at K. The contact at C is frictionless and D is and the tension on the cable AH is 52 kN, a roller. If the system is in equilibrium a) draw free body diagrams of all rigid members (AE, ABCD and CK), b) determine P (kN) w (kN/m), all reaction forces (or force components) at A, C,...
1. Consider the following system that consists of a rigid bar supported by a roller at...
1. Consider the following system that consists of a rigid bar supported by a roller at A and a pin at B Draw a free body diagram of the rigid body AB. Show the three equilibrium equations for the rigid body and circle them. Solve the system of equations to determine the reaction forces at A and B. a) b) c) 390 lb 800 lb ft 8 ft4 ft
QUESTION 2 Beam ABCD is 8 m in length and is pin-supported at A and roller-supported...
QUESTION 2 Beam ABCD is 8 m in length and is pin-supported at A and roller-supported at C as shown in Figure Q2. A counter-clockwise concentrated moment acts about the support A. A uniformly-distributed load acts on span BC and a vertical concentrated load acts at the free end D a) Determine the reactions at supports A and C. 4 marks) b) Obtain the shear force and the bending moment functions (in terms of x) for each segment along the...
1) Rigid bar ABC is supported by pin-connected axial member (1) and by a pin connection...
1) Rigid bar ABC is supported by pin-connected axial member (1) and by a pin connection at C, as shown in the figure. A concentrated load is applied to the rigid bar at A. Assume P = 5,300 b, a = 20 in, b= 30 in., c = 13 in., and d = 28 in. Determine the magnitude of the maximum internal shear force within pin C. A. 3670 lb B. 3720 lb C. 3850 lb D. 3940 lb E....
The crank OA rotates in the vertical plane with a constant clockwise angular velocity
The crank OA rotates in the vertical plane with a constant clockwise angular velocity ωo=4.5 rad/s. For the position when OA is horizontal, (a) determine the angular acceleration of the uniform 10 kg slender bar AB and the horizontal and vertical components of the acceleration of its center of mass. Use the methods of kinematics (Ch 16) to establish both the magnitude and direction → or ← for aG and; CW or CCW for αAB) of each variable. (b) Draw complete free body...
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...
Xuestion 3: FRICTION A Body s Having a mass of 200kg is supported on an inclined...
Xuestion 3: FRICTION A Body s Having a mass of 200kg is supported on an inclined plane that forms an angle of 30° with the horizontal As shown in the FBD, a force e parallel to and acting up the plane is applied to the Body. Given coeff. of static friction is 0.40 If P = 500N, deternine the magnitude & direction of the resisting friction Force. * Note: From caculation you a would find out that the body will...
Question 3 (6) The structure below is a frame supported by a pin at Cand a...
Question 3 (6) The structure below is a frame supported by a pin at Cand a roller at E. A tension, T = 20 kN is used to establish static equilibrium. Determine the force the member DB exerts on the ABC at B. Block A of weight 1200N rests on a rough horizontal plane. The coefficient of static friction between the surfaces of the block and the plane is 0.40. Lengths AB BC = 4m; CD=DE = 3m A 30°...
Q1. Two rigid members (BCDE and EKN) are connected by a pin at E. The structure is supported by a pin at B and two rollers at D and N. An inclined distributed load is acting between E and K with the horizontal (12 kN/m) and vertical (16 kN/m) components. Neglect own weights and thicknesses of the members. f w 26.667 kN/m, 1.5m Draw necessary free body diagrams and determine the reaction forces at roller supports (D and N) and...
5) Two rigid members (AE and ABCD) are connected by a pin at A. CK is another rigid bar supported by a fixed-end at K. The contact at C is frictionless and D is and the tension on the cable AH is 52 kN, a roller. If the system is in equilibrium a) draw free body diagrams of all rigid members (AE, ABCD and CK), b) determine P (kN) w (kN/m), all reaction forces (or force components) at A, C,...
1. Consider the following system that consists of a rigid bar supported by a roller at A and a pin at B Draw a free body diagram of the rigid body AB. Show the three equilibrium equations for the rigid body and circle them. Solve the system of equations to determine the reaction forces at A and B. a) b) c) 390 lb 800 lb ft 8 ft4 ft
QUESTION 2 Beam ABCD is 8 m in length and is pin-supported at A and roller-supported at C as shown in Figure Q2. A counter-clockwise concentrated moment acts about the support A. A uniformly-distributed load acts on span BC and a vertical concentrated load acts at the free end D a) Determine the reactions at supports A and C. 4 marks) b) Obtain the shear force and the bending moment functions (in terms of x) for each segment along the...
1) Rigid bar ABC is supported by pin-connected axial member (1) and by a pin connection at C, as shown in the figure. A concentrated load is applied to the rigid bar at A. Assume P = 5,300 b, a = 20 in, b= 30 in., c = 13 in., and d = 28 in. Determine the magnitude of the maximum internal shear force within pin C. A. 3670 lb B. 3720 lb C. 3850 lb D. 3940 lb E....
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...
Xuestion 3: FRICTION A Body s Having a mass of 200kg is supported on an inclined plane that forms an angle of 30° with the horizontal As shown in the FBD, a force e parallel to and acting up the plane is applied to the Body. Given coeff. of static friction is 0.40 If P = 500N, deternine the magnitude & direction of the resisting friction Force. * Note: From caculation you a would find out that the body will...
Question 3 (6) The structure below is a frame supported by a pin at Cand a roller at E. A tension, T = 20 kN is used to establish static equilibrium. Determine the force the member DB exerts on the ABC at B. Block A of weight 1200N rests on a rough horizontal plane. The coefficient of static friction between the surfaces of the block and the plane is 0.40. Lengths AB BC = 4m; CD=DE = 3m A 30°...
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