MATERIALS SCI.+ENGR.:INTRO.-NEXTGEN
10th Edition
ISBN: 9781119503941
Author: Callister
Publisher: WILEY
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Chapter 7, Problem 9QAP
To determine
The values of
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Please solve part a, b and c
Also, find the impulse response g(t) for the system
Calculate the collapse load (P) for the two fixed ended beam shown below.
Use virtual work
method
P
2 m
4 m
L= 6 m
Using R language
Chapter 7 Solutions
MATERIALS SCI.+ENGR.:INTRO.-NEXTGEN
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- Find the collapse load (Wu) for the one-end continuous beam shown below. Use virtual work method Wu 6 marrow_forward(Using R language)arrow_forwardConsider the lateral dynamics of a vectored thrust aircraft as described in Example 3.12. Show that the dynamics can be described using the following block diagram: Ꮎ r ալ -mg Σ J82 ע 1 X ms² + cs Use this block diagram to compute the transfer functions from u₁ to 0 and x and show that they satisfy Нои r Js² - mgr Js²' Hau₁ Js2 (ms2+cs)arrow_forward
- Find the maximum distributed load can be applied to the two fixed ends beam shown below. Use Virtual work method Wu L=6marrow_forwardCalculate the collapse load (P) for the two fixed ended beam shown below. Use virtual work method P 2 m 4 m L=6marrow_forwardQuestion 1 (Approximate Method - Superposition). Using Superposition determine the displacement at C of this beam. El is constant. (Note - you must use the PE Handbook Shears, Moments and Deflection Tables. The FE handbook does not have one of these conditions) (On an exam I will make sure it is found in both the FE and the PE handbook). 60 kN 30 kN/m A C 3 m 3 m B Question 2 (Slope and Deflection - virtual work - statically determinate beam) Using virtual work determine the slope at A and the displacement at C of this beam. El is constant. Same beam as question #1arrow_forward
- dny dn-1y dn-1u dn-24 +a1 + + Any = bi +b₂- + +bnu. dtn dtn-1 dtn-1 dtn-2 a) Let be a root of the characteristic equation 1 sn+a1sn- + +an = : 0. Show that if u(t) = 0, the differential equation has the solution y(t) = e\t. b) Let к be a zero of the polynomial b(s) = b₁s-1+b2sn−2+ Show that if the input is u(t) equation that is identically zero. = .. +bn. ekt, then there is a solution to the differentialarrow_forwardConsider the system dx ax+u. dt Compute the exponential response of the system and use this to derive the transfer function from u to x. Show that when s = a, a pole of the transfer function, the response to the exponential input u(t) = est is x(t) = eat x(0) + teat. For solving the system with u = eat eat you can't use the transfer function because the denominator is zero. Try using the convolution integral solution with initial conditions set as x(t) = eat x (0) + fo g(t − T)u(T)dT - g(t) is the impulse response of the system.arrow_forwarddny dn-1y dn-1u dn-24 +a1 + + Any = bi +b₂- + +bnu. dtn dtn-1 dtn-1 dtn-2 a) Let be a root of the characteristic equation 1 sn+a1sn- + +an = : 0. Show that if u(t) = 0, the differential equation has the solution y(t) = e\t. b) Let к be a zero of the polynomial b(s) = b₁s-1+b2sn−2+ Show that if the input is u(t) equation that is identically zero. = .. +bn. ekt, then there is a solution to the differentialarrow_forward
- dny dn-1y dn-1u dn-24 +a1 + + Any = bi +b₂- + +bnu. dtn dtn-1 dtn-1 dtn-2 a) Let be a root of the characteristic equation 1 sn+a1sn- + +an = : 0. Show that if u(t) = 0, the differential equation has the solution y(t) = e\t. b) Let к be a zero of the polynomial b(s) = b₁s-1+b2sn−2+ Show that if the input is u(t) equation that is identically zero. = .. +bn. ekt, then there is a solution to the differentialarrow_forwardB 60 ft WAB AB 30% : The crane's telescopic boom rotates with the angular velocity w = 0.06 rad/s and angular acceleration a = 0.07 rad/s². At the same instant, the boom is extending with a constant speed of 0.8 ft/s, measured relative to the boom. Determine the magnitude of the acceleration of point B at this instant.arrow_forwardQuestion 4 (Force Method). Determine the reaction at the supports. Assume A is a pin and B and C are rollers. El is constant. 1.5 k A A 10 ft 10 ft B C - 20 ftarrow_forward
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