Recent content by Tygra

Hi all, I have a structural engineering book from 1979. I am trying to follow it as best as I can. I have come to a formula that calculates the rotations in radians at the rigid joint that requires an iterative procedure. This equation comes in the form of: $$ x_i = \frac {Q_ih_i +...

Is there not anyone who can help? Should I have posted this in a different section?

Sorry, I'm having real trouble with the latex. EDIT: Latex Sorted

Hi all, I have a structural engineering book from 1979. I am trying to follow it as best as I can. I have come to a formula that calculates the rotations in radians at the rigid joint that requires an iterative procedure. This equation comes in the form of: $$ x_i = \frac {Qh_i + Qh_{i+1}}{4K}...

Hi there, Ivan, thank you for your response. I believe that for the case of the dam where the load from the water is in the form of a triangular UDL (as shown in your diagram), the centroid of the triangular loading acts at ## \frac{2}{3} ## the depth. In my problem its the point of...

Hi there, I am working on approximate methods to solve for member forces for a multi-storey rigid frame, such as below: Firstly, I am trying to compute the shears in the columns, and to do this I am using the the shear rigidity given by Stafford-smith and Coull (1991), Tall Building...

Hi all, I am working on the following Moment Resisting Frame: The frame has the following structural properties: E = 2.1E+08 % Modulus of elasticity; I = 0.000117 % Second moment of area L = 5; % Frame width h = 3; % Frame height I want to compute the total static stiffness of the...

Dear all, I am currently going through the book called "Essentials of Structural Dynamics" and I have come to a parameter known as the Dynamic Load factor (DLF for short). I am having trouble understanding what this is and how you calculate it for a given problem. What's confusing is there are...

@ haruspex What about using the Runge Kutta Technique? Would that be better?

Ah I see. It would be interesting if we could compare the results I posted in post #12 (I don't know how to solve the analytical equation for that). The behaviour from that looks like it could be okay.

Unfortunately, Vela, no. It is still behaving like haruspex said.

Really? I practised with a couple of differential equations and found Euler's method to be accurate if the step size is small enough. I used second order and converted them to two first order equations. I chose: $$ 4y'' + 2y' = 0 $$ and $$ 4y'' + 2y' + 3y = 0 $$ The analytical solution for...

Thanks for that, bob012345. I was experimenting with my damping value and got underdamped, critically damped and overdamped responses.

I was looking at Jeffrey Chasnov's videos on Youtube and he provided the equation which is: I tried it in MATLAB and got this behaviour: I have to be careful however, for my damping (c value). If it's too high, the pendulum does not oscillate. I might be wrong, but if the damping is...

Thank you guys for your response. Considering what has been said how would I amend the equation to include friction/drag, so that the model behaves realistically?