Elastoplastic Behavior

# Elastoplastic Behavior - CE 573 Structural Dynamics...

This preview shows pages 1–2. Sign up to view the full content.

CE 573: Structural Dynamics Numerical Evaluation of Dynamic Response – Elastoplastic Behavior Example Given: Mass of frame , stiffness k = 20 kips/in, and 2 0.5 kip-sec /in m = 0.02 ξ = . Tank starts at rest and is subjected to pulse F(t) as shown. Assume elastoplastic behavior with yielding occurring at 60 T R = + kips and kips. 35 C R =− Required: Determine the response u(t) from 0.0 sec t = to 1.0 sec t = using Newmark’s linear acceleration method with . 0.1 sec t ∆= Solution: 1. Need to check time step for stability – we will assume that stability is OK. 2. Preliminary Calculations – 2 0.0 in; 0.0 in/sec; 0.0 kips. 0.0 in/sec . ooo oo o Fc uk u o m uu F u −− == = ⇒= = 3. Linear Acceleration Method: If frame is behaving elastically – () ( ) ( ) 2 2 2 kips-sec kips kips-sec in in in kips 63 in 2 3 0.02 0.5 * 20 60 .5 20 0.1 sec 0.1 sec 321.90 kips/in. mc ii t t kk =+ + = + + = If frame is behaving plastically – ( ) ( ) 2 2 2 kips-sec kips kips-sec in in in 2 30 . 0 2 0 . 5 * 2 0 0 0.1 sec 0.1 sec 301.90 kips/in.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

### Page1 / 3

Elastoplastic Behavior - CE 573 Structural Dynamics...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online