Concept explainers
For the beam and loading shown, (a) write the equations of the shear and bending-moment curves, (b) determine the magnitude and location of the maximum bending moment.
(a)
To write the equations of the shear and bending moment curves.
Answer to Problem 7.86P
The equation for shear curve is
Explanation of Solution
Refer Fig P7.86 and figure 1.
Write the equation for the distributed load.
Here,
Write the condition used to find the reaction force B.
Here,
Write the condition used to find the reaction force A along y direction.
Here,
Write the equation for change in shear moment with distance.
Here,
Write the equation for change in bending moment with distance.
Here,
Conclusion:
Use equation (I) to calculate the reaction force at B.
Use equation (II) to calculate the reaction force at B.
Sketch the shear diagram.
Calculate the change in shear moment with distance using equation (IV) and thus find the equation for the shear moment curve.
Sketch the bending moment diagram.
Calculate the change in bending moment with distance using equation (V) and thus find the equation for the bending moment curve.
Therefore, the equation for shear curve is
(b)
The magnitude and location of the maximum bending moment.
Answer to Problem 7.86P
The magnitude of the maximum bending moment is
Explanation of Solution
The maximum absolute value of the bending moment can be found using the equation for the bending moment curve.
The distance of the maximum bending moment is measured from the left hand side.
Conclusion:
At
If
The magnitude of the maximum bending moment.
According to figure 2, find the location of the maximum bending moment.
Therefore, the magnitude of the maximum bending moment is
Want to see more full solutions like this?
Chapter 7 Solutions
VEC MECH 180-DAT EBOOK ACCESS(STAT+DYNA)
Additional Engineering Textbook Solutions
Elementary Surveying: An Introduction To Geomatics (15th Edition)
Mechanics of Materials (10th Edition)
Database Concepts (8th Edition)
Starting Out With Visual Basic (8th Edition)
Thermodynamics: An Engineering Approach
Modern Database Management
- Solve this problem and show all of the workarrow_forwardaversity of Baoyion aculty of Engineering-AIMusyab Automobile Eng. Dep. Year: 2022-2023, st Course, 1st Attempt Stage: 3rd Subject: Heat Transfer I Date: 2023\01\23- Monday Time: 3 Hours Q4: A thick slab of copper initially at a uniform temperature of 20°C is suddenly exposed to radiation at one surface such that the net heat flux is maintained at a constant value of 3×105 W/m². Using the explicit finite-difference techniques with a space increment of Ax = = 75 mm, determine the temperature at the irradiated surface and at an interior point that is 150 mm from the surface after 2 min have elapsed. Q5: (12.5 M) A) A steel bar 2.5 cm square and 7.5 cm long is initially at a temperature of 250°C. It is immersed in a tank of oil maintained at 30°C. The heat-transfer coefficient is 570 W/m². C. Calculate the temperature in the center of the bar after 3 min. B) Air at 90°C and atmospheric pressure flows over a horizontal flat plate at 60 m/s. The plate is 60 cm square and is maintained at a…arrow_forwardUniversity of Baby on Faculty of Engineering-AIMusyab Automobile Eng. Dep. Year: 2022-2023. 1 Course, 1" Attempt Stage 3 Subject Heat Transfer I Date: 2023 01 23- Monday Time: 3 Hours Notes: Q1: • • Answer four questions only Use Troles and Appendices A) A flat wall is exposed to an environmental temperature of 38°C. The wall is covered with a layer of insulation 2.5 cm thick whose thermal conductivity is 1.4 W/m. C, and the temperature of the wall on the inside of the insulation is 315°C. The wall loses heat to the environment by convection. Compute the value of the convection heat-transfer coefficient that must be maintained on the outer surface of the insulation to ensure that the outer-surface temperature does not exceed 41°C. B) A vertical square plate, 30 cm on a side, is maintained at 50°C and exposed to room air at 20°C. The surface emissivity is 0.8. Calculate the total heat lost by both sides of the plate. (12.5 M) Q2: An aluminum fin 1.5 mm thick is placed on a circular tube…arrow_forward
- Solve this and show all of the workarrow_forwardNeed helparrow_forwardY F1 α В X F2 You and your friends are planning to move the log. The log. needs to be moved straight in the x-axis direction and it takes a combined force of 2.9 kN. You (F1) are able to exert 610 N at a = 32°. What magnitude (F2) and direction (B) do you needs your friends to pull? Your friends had to pull at: magnitude in Newton, F2 = direction in degrees, ẞ = N degarrow_forward
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY