Explanation Calculation: Remove the roller support B and treat reaction ( R B ) as redundant. Show the replace loading in beam in below Figure 1. Calculate the moment ( M 1 ) in beam due reaction at A as below: M 1 = R B × L = R B L Calculate the M 1 E I value: Substitute R B L for M 1 . M 1 E I = R B L E I Show the M 1 E I diagram in below Figure 2. Calculate the area ( A 1 ) using the relation: A 1 = 1 2 L ( M 1 E I ) Substitute R B L E I for ( M 1 E I ) . A 1 = 1 2 L R B L E I = R B L 2 2 E I Calculate the moment ( M 2 ) in beam due UDL: M 2 = − w 0 × L × L 2 = − w 0 L 2 2 Calculate the M 2 E I value: Substitute ( − w 0 L 2 2 ) for M 2 . M 2 E I = ( − w 0 L 2 2 ) E I = − w 0 L 2 2 E I Show the M 2 E I diagram in below Figure 3. Calculate the area ( A 2 ) using the relation: A 2 = 1 3 L ( M 2 E I ) Substitute − w 0 L 2 2 E I for ( M 2 E I ) . A 2 = 1 3 L ( − w 0 L 2 2 E I ) = − w 0 L 3 6 E I Calculate the moment ( M 3 ) in beam due UVL: M 3 = ( 1 2 × − w 0 × L ) × ( 1 3 L ) = w 0 L 2 6 Calculate the M 3 E I value; Substitute w 0 L 2 6 for M 2

7th Edition

ISBN: 8220102804487

Author: BEER

Publisher: YUZU

See similar textbooks

Videos

Question

Chapter 9.6, Problem 149P

To determine

The reaction (RB) at the roller support.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 9.6, Problem 148P

Chapter 9.6, Problem 150P

Students have asked these similar questions

! Required information Air at 25°C (cp=1006 J/kg.K) is to be heated to 58°C by hot oil at 80°C (cp = 2150 J/kg.K) in a cross-flow heat exchanger with air mixed and oil unmixed. The product of heat transfer surface area and the overall heat transfer coefficient is 750 W/K and the mass flow rate of air is twice that of oil. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Air Oil 80°C Determine the effectiveness of the heat exchanger.

In an industrial facility, a counter-flow double-pipe heat exchanger uses superheated steam at a temperature of 155°C to heat feed water at 30°C. The superheated steam experiences a temperature drop of 70°C as it exits the heat exchanger. The water to be heated flows through the heat exchanger tube of negligible thickness at a constant rate of 3.47 kg/s. The convective heat transfer coefficient on the superheated steam and water side is 850 W/m²K and 1250 W/m²K, respectively. To account for the fouling due to chemical impurities that might be present in the feed water, assume a fouling factor of 0.00015 m²-K/W for the water side. The specific heat of water is determined at an average temperature of (30 +70)°C/2 = 50°C and is taken to be J/kg.K. Cp= 4181 Water Steam What would be the required heat exchanger area in case of parallel-flow arrangement? The required heat exchanger area in case of parallel-flow arrangement is 1m².

A single-pass crossflow heat exchanger is used to cool jacket water (cp = 1.0 Btu/lbm.°F) of a diesel engine from 190°F to 140°F, using air (Cp = 0.245 Btu/lbm.°F) at inlet temperature of 90°F. Both air flow and water flow are unmixed. If the water and air mass flow rates are 85500 lbm/h and 400,000 lbm/h, respectively, determine the log mean temperature difference for this heat exchanger. Assume the correction factor F to be 0.92. Air flow (unmixed) Water flow (unmixed) The log mean temperature difference of the heat exchanger is °F.

Chapter 9 Solutions

EBK MECHANICS OF MATERIALS

Ch. 9.2 - In the following problems assume that the flexural...Ch. 9.2 - In the following problems assume that the flexural...Ch. 9.2 - In the following problems assume that the flexural...Ch. 9.2 - 9.1 through 9.4 For the loading shown, determine...Ch. 9.2 - 9.5 and 9.6 For the cantilever beam and loading...Ch. 9.2 - 9.5 and 9.6 For the cantilever beam and loading...Ch. 9.2 - For the beam and loading shown, determine (a) the...Ch. 9.2 - For the beam and loading shown, determine (a) the...Ch. 9.2 - Knowing that beam .AB is a W10 33 rolled shape...Ch. 9.2 - Knowing that beam AB is an S200 34 roiled shape...

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 reaction ( R B ) at the roller support.

Solution Summary: The author calculates the moment (R_B) in beam due reaction at A using the relation:

Videos

The reaction (RB) at the roller support.

Want to see the full answer?

Chapter 9 Solutions