Please answer the following questions by referring to the below figure calculate the location of the centroid, the second moments and product of area for the cross-section if; • D = 67 mm • B = 41 mm t = 2.41 mm. From these, calculate the position and orientation of neutral axis for pure bending in the vertical plane (i.e. bending about a horizontal axis). Also calculate the directions of the principal second moments of area. Next, graph as scale diagram of the cross-section and plot the neutral axis on that diagram in the correct location and indicate the direction of deflection for the same conditions A A L Test beam Strain gauge W (a) Unsymmetrical cantilever beam with weight applied at the free end and at the "shear centre", so that there is no torsion induced. b a Section A-A Strain gauge 1 Strain gauge 3 Strain gauge 2

Please answer the following questions by referring to the below figure calculate the location of the centroid, the second moments and product of area for the cross-section if; • D = 67 mm • B = 41 mm t = 2.41 mm. From these, calculate the position and orientation of neutral axis for pure bending in the vertical plane (i.e. bending about a horizontal axis). Also calculate the directions of the principal second moments of area. Next, graph as scale diagram of the cross-section and plot the neutral axis on that diagram in the correct location and indicate the direction of deflection for the same conditions A A L Test beam Strain gauge W (a) Unsymmetrical cantilever beam with weight applied at the free end and at the "shear centre", so that there is no torsion induced. b a Section A-A Strain gauge 1 Strain gauge 3 Strain gauge 2

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: Determine the shear strain Yxy at corners D and the plastic distorts as shown by the dashed lines. 3…

Q: A rigid beam is supported by bar DE. If the vertical displacement of point D is to be less than 0.1…

A: Let FDE be the force on the bar DE.Vertical displacement at point D will be equal to the change in…

Q: Question # 3: The built-up beam is formed by welding together the thin plates of thickness 3 mm. the…

A: Shear center is a point on the beam section where the application of loads does not cause its…

Q: The piece of rubber is originally rectangular. Calculate the average shear strain Yxy at A if the…

A: Given data in question Cross section 400 mm and 300 mmDisplacements 3 mm and 2 mmTo find out Average…

Q: w=24kn/m a = 15m I = 70 x 10^6 mm^4 E = 200 GPa Find displacement at C using moment area method

A: Given Data E = 200 GPa = 200 × 103 N/mm2 I = 70 × 106 mm4 Determine the displacement…

Q: 14 kips. Consider only flexural deformations. | A B 7'-

Q: Draw the diagram of normal forces, stresses and displacements along the length of the stepped bar…

Q: 5.15 A beam in bending has the cross section of an L3 × 2 × 0.25 in unequal leg steel angle. A…

Q: The resultant of the three forces as shown in figure is vertical. determine the angle 0, and…

A: All data present in the figure Need to find 1- Resultant force (R)2- angle ()

Q: Q.11. Two forces are applied to the construction bracket as shown. Determine the angle which makes…

Q: The steel beam shown in the figure 2 is made by a steel type that has σY=250 MPa and σU=400MPa…

A: To find maximum torque

Q: A truss carries a concentrated load at points B. E F. and G as shown in the figure below. Using unit…

A: reaction is calculated and value of P is find=20KN

Q: In the truss shown below, determine the vertical displacement at point F. Cross- sectional area of…

Q: A rigid beam is supported by bar DE. If the vertical displacement of point D is to be less than 0.1…

A: Vertical displacement of point D (∆D) = 0.1 in. Determine the minimum cross sectional area of bar DE…

Concept explainers

System of Forces

A force is an external influence or agent that changes the state of a system. According to Newton's second law, the force applied to a body is proportional to the change in momentum of a body. Hence, whenever a force is applied to a body, its momentum changes. If the body is at rest, under the action of force, its state of rest changes to motion. In other words, the magnitude of the momentum of the body changes from zero to a measurable value. Similarly, if the body possesses some initial velocity, it has some associated momentum, the effect of force can cause the body to halt or come to rest, that is, the momentum reduces to zero.

Question

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Calculation of centroid

VIEW

Step 2: Second moment of the area

VIEW

Step 3: Position of neutral axis

VIEW

Solution

VIEW

Step by step

Solved in 4 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

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

Similar questions

3. Rigid member ABD is connected to elastic member CDE as shown. For the given loading, what are the vertical displacements of points A and E? A 20KN dimensions in meters B rigid I ст 0.4 E 0.2 5kN E=7oGPa A=100mm²
Consider the rod shown. Suppose that hℎ = 170 mm, r = 290 mm. Determine the location (x,y) of the centroid of the rod.
3. Rigid member ABD is connected to elastic member CDE as shown. For the given loading, what are the vertical displacements of points A and E? A 20kN dimensions in meters B rigid C T 0.4 D E 0.2 5KN E=7oGPa A=100mm²
Problem #1: All the vertical bars are constructed from steel (E = 29,000 ksi and a = 6.5 x 10 1/°F). The mechanical loading is shown and in addition the entire system undergoes a uniform temperature change of AT = 25 °F, determine the vertical displacement at point B (red circle). Note the cross- sectional area for all the vertical bars is 0.0750 in? and assume the horizontal beams are rigid. Report your answer in inches to four decimal places. E F 4 ft H. D C -2 ft- 5 ft 4.5 ft 800 lb A B 1 ft
The force of an L-shaped round bar is shown in the figure below. Assuming that bending moment, torque and shear force effects need to be considered, try to calculate the vertical displacement of point C. E of the entire section is 200 GPa, G is 75 GPa, I, J The calculation with A assumes that the radius of the rod is 30 mm.
Example: Resolve the horizontal 600 N force in shown into and components acting along the u and v axes determine the magnitudes of these components. F 30° 130 600 lb
A structural steel rod 1(1)/(2) inches in diameter and 25 feet long, in supporting a balcony, carries a tensile load of 29k;E=29 xx10^(3)ksi. a. Find the total elongation delta of the rod. b. What diameter d is necessary if the total delta is limited to 0.1 inch?
help
SOLVE STEP BY STEP IN DIGITAL FORMAT Determine by the method of nodes the forces at which all the members of the following truss work. A B 15 kN 4 m 3, 10 kN 2 m 4 m
A wooden bar beam arrangement is shown in the figure. The beam is formed by nailing wooden bar and each nail has a shearing strength of 250 N and the beam is designed for a shear force of 3.2 kN. Find the spacing between the nails for this arrangement. 360 mm 20 mm 200 mm 20 mm ▬▬
The steel beam shown in the figure 2 is made by a steel type that has σY=250 MPa and σU=400MPa Determine the maxium torque that can be applied to the beam when it is bent aroung the x axis.
SOLVE STEP BY STEP IN DIGITAL FORMAT Determine by the method of nodes the forces at which all the members of the following truss work. 5.5 K 8 pies 10 pies D 6 pies 3.5 K 8 pies 10 pies 40° A E