Determining Ultimate Shear Stress in Glued Joints

[williamx11373]

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An inclined member is braced with a glued block, as shown. The ultimate shear stress in the glued joint is 1050 psi. Determine the dimension X at which the glued joint will fail.


I know that


-shearstress= (Pressure x length) dived by (Area x modulus of elasticity)


- At point A there is X forces and Y forces, at point B there is Normal Force.


-Pressure max = (Shearstress X Area)


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so far i know that Force at A in the X direction is 1050x (2x2) = 4200 lbs



other than that I am stuck and i don't know where to start...any help would be appreciated.

 

[PhanthomJay]

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An inclined member is braced with a glued block, as shown. The ultimate shear stress in the glued joint is 1050 psi. Determine the dimension X at which the glued joint will fail.


I know that


-shearstress= (Pressure x length) dived by (Area x modulus of elasticity)

wrong equation

- At point A there is X forces and Y forces, at point B there is Normal Force.

yes, assuming the wall is frictionless

-Pressure max = (Shearstress X Area)

max average shear force = max shear stress x Area

------------

so far i know that Force at A in the X direction is 1050x (2x2) = 4200 lbs

Yes, good

other than that I am stuck and i don't know where to start...any help would be appreciated.

What must be the normal force on the ladder from the wall? Then try summing moments about A (must be equal to 0) to solve for X.

 

[GreenwoodSpur]

Is there anyone out there that could help with this problem

 

[nvn]

GreenwoodSpur: Someone did, above, in post 2. Regardless, the PF rules for homework questions state you must list relevant equations yourself, and show your work. And then someone might check your math. (See PF rules link at the top of each page.)