HW 14 Frames and Machines Fundamental Problem 624 Determine

HW 14 - Frames and Machines

Fundamental Problem 6.24

Determine the components of reaction at D and the components of reaction the pin at A exerts on memberBA. Take that P = 5.5 kN and w = 9.0 kN/m .Assume that structural members exert forces only on connecting or supporting pins and not directly on other members. (Figure 1)

Part A

Determine the vertical component of reaction at D.

Express your answer to three significant figures and include the appropriate units.

Part B

Determine the horizontal component of reaction at D.

Express your answer to three significant figures and include the appropriate units.

Part C

Determine the horizontal component of reaction the pin at A exerts on member BA.

Express your answer to three significant figures and include the appropriate units.

Part D

Determine the vertical component of reaction the pin at A exerts on member BA.

Express your answer to three significant figures and include the appropriate units.

Solution

vertical component reaction at d is

firstly find ou point load on non uniform beam 1/2 * 9*3 =21/2 ===>10.5

Ra +Rd =10.5

now find the reaction force at A.

Rd*3 = 10.5*(2*3)/3

Rd = 7 N

for horizontal component reaction at D is

Rd (horizontal) = p* 2m

= 5.5 *2

= 11 N