(a) Explanation Calculation: Sketch the loading diagram as shown in Figure 1. Refer to Figure 1. Apply the spring constant k for the load applied at point D . The load P m = k y m Calculate the maximum strain energy ( U m ) as shown below. U m = 1 2 P m y m Substitute k y m for P m . U m = 1 2 k y m × y m = 1 2 k y m 2 Calculate the work of the block as shown below. Work = W ( h + y m ) Equating work and strain energy as shown below. Work = Strain Energy ( U m ) Substitute 1 2 k y m 2 for U m and W ( h + y m ) for Work . 1 2 k y m 2 = W ( h + y m ) 1 2 k y m 2 − W h − W y m = 0 y m 2 − 2 W k y m − 2 W k h = 0 Substitute y s t for W k . y m 2 − 2 y s t y m − 2 y s t h = 0 Here, y s t is the deflection at D caused by a static load W applied at that point (b) To determine The impact factor of beam and the impact factor of Prob. 11.52.

7th Edition

ISBN: 8220100257063

Author: BEER

Publisher: YUZU

See similar textbooks

Concept explainers

Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and af…

Videos

Question

Chapter 11.5, Problem 56P

(a)

To determine

The maximum deflection at point D as ym=yst(1+1+2hyst).

(b)

To determine

The impact factor of beam and the impact factor of Prob. 11.52.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 11.5, Problem 55P

Chapter 11.5, Problem 57P

Students have asked these similar questions

Find maximum intensity Wa and maximum intensity Wb

determine the Ely value under each concentrated load and at midspan of the beams showr. Determine also the location of the maximum deflection and the maximum EIY value by the double integration method. 55 KN 75 KN 45 KN 1.8 4m 1.6m 1.4m 25KN/m 55 KN 75 KN 45 KN 1.8 4m 1.6m 1.4m 35KN/m 15KN/m A

An overhang beam is loaded shown, determine the slope, EIθ , and deflection, EIy, at the right end (point F).

Chapter 11 Solutions

EBK MECHANICS OF MATERIALS

Ch. 11.3 - Determine the modulus of resilience for each of...Ch. 11.3 - Determine the modulus of resilience for each of...Ch. 11.3 - Determine the modulus of resilience for each of...Ch. 11.3 - Determine the modulus of resilience for each of...Ch. 11.3 - The stress-strain diagram shown has been drawn...Ch. 11.3 - The stress-strain diagram shown has been drawn...Ch. 11.3 - Prob. 7P Ch. 11.3 - Prob. 8P Ch. 11.3 - Using E = 29 106 psi, determine (a) the strain...Ch. 11.3 - Using E = 200 GPa, determine (a) the strain energy...

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

The maximum deflection at point D as y m = y s t ( 1 + 1 + 2 h y s t ) .

Solution Summary: The author illustrates the loading diagram as shown in Figure 1. Apply the spring constant k for the load applied at point D.