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The beam is subjected to a uniform dead load of and a single live load of 40 kN Determine a the maximum moment created by these loads at C and b the maximum positive shear at C Assume A is a pin and B is a roller 1 2 kN m Ans MC max 40 kN 3 m 1 2 kN ma 1 2 b 12 m 3 m 141 6 kN m A 6 m 6 m B C 40 kN Ans VC max 40a 1 2 b

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A roller support has only a vertical reaction force A cantilever beam is embedded in a wall The 40 kN load acts at a distance of 3m from point A Think of

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SOLVED EXAMPLES Example 4 1 A circular roller of weight 1000 N and radius 20 cm hangs by a tie rod AB 40 cm and rests against a smooth vertical wall at C as shown in Fig P 4 1 a

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PROBLEM 1 EXERCISE 6 73 The compound beam is pin supported at C and supported by a roller A and B There is a PROBLEM 1 EXERCISE 6 91 Determine the horizontal and vertical components and F2 5kN Determine the horizontal and vertical components at the pin supports A and B Take h 2m

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A car weighing 12 kN goes around the curve at a speed of 24 m s without slipping A roller coaster car goes through a vertical loop at a constant speed

Q 1 Determine the magnitude S of the tensile spring force in order that the resultant of F F S For the loads of 1 8 kN applied in the vertical plane compute the forces induced in members AB DB and CD Ans AB 3 89 kN C Determine the reaction at the roller

INDETERMINATE STRUCTURES METHOD OF CONSISTENT DEFORMATIONS FORCE METHOD If all the support reactions and internal forces M Q and N can not be determined by using equilibrium Vertical reaction at roller support taken Primary Structure 67 kN Primary Structure Vertical reaction at roller support C taken as a redundant force 3 m 3

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The beam has a weight of 150 lb ft Determine a the max imum vertical reaction at support B and b the maximum negative moment at point B Assume the support at A is a pin and B is a roller 6–15 The beam is subjected to a uniform dead load of 1 2 kN m and a single live load of 40 kN

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CHAPTER V EQUILIBRIUM OF A BODY Determine the horizontal and vertical components of reaction at A and the reaction at B on the beam FBC 3916 67 N Ax 3133 33 N Ay 950 N 58 kN m and the rear two springs each have a stiffness of k B

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Horizontal and vertical forces on supports But I get stuck on what do do to find the vertical reaction at the roller support which I need to calculate the vertical force at the pin If I did a moment calculation at the pin do I count the 10kN force at the top don t you only count the stuff that s only in a straight line from the place

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