The channel shape cross-section and the rectangular cross-section shown in the Figure Q4 aremade of materials with elastic-perfectly plastic behaviour. The yield stress of the material used forthe channel shape cross-section is oy = 473 MPa, whereas that used for the rectangular cross-section is 0.850y.Compute the thickness of the web, t, of the channel shape section if the two cross sections haveidentical plastic bending moment about the z-axis.In Figure 4, h= 77 mm, b=46 mm, a=11 mm, H=77 mm, d= 46 mmNbha+Na |dH 1. The numerical value of plastic section modulus of the solid rectangular section ismm³2. The numerical value of plastic moment of the solid rectangular section isN.mm

The objective of the question is to calculate the thickness of the web, t, of the channel shape…

Answered: The channel shape cross-section and the…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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For the simply supported bar in the Figure, draw the Bending Moment (M) and Shear Force (V) diagrams, determining the necessary equations and the appropriate numerical values.
In the figure, copper AB copper with a diameter of 24 mm and BC steel bars with a diameter of 20 mm are rigidly connected to each other at point B. A force of 6 kN was applied to the rod at the B point and 12 kN at the C point. Since the modulus of elasticity of copper is 100 GPa and the modulus of elasticity of steel is 200 GPa, find the displacement of the C point.
A steel beam ABC carries a concentrated load of P (kN) at B and C, as shown in Figure Q3(a). The beam has a wide-flange section shown in Figure Q3(b) and designated as W610 x 82 with geometrical properties as shown in Table 1. Assuming that the beam behaves as elastic-perfectly plastic material with a yield strength of 210 MPa; (a) Draw the moment diagram of the beam and indicate the section that carries the maximum bending moment. (b) Knowing the shape factor of the beam, k = 1.15 calculate the magnitude of Pp (kN) for the condition of plastic collapse/hinge. (c) Determine the yielded length, Li, (m) along the beam where the section has experienced yielding corresponding to the plastic collapse condition (part (b)).
The channel shape cross-section and the rectangular cross-section shown in the Figure Q4 are made of materials with elastic-perfectly plastic behaviour. The yield stress of the material used for the channel shape cross-section is oy = 473 MPa, whereas that used for the rectangular cross- section is 0.850y. Compute the thickness of the web, t, of the channel shape section if the two cross sections have identical plastic bending moment about the z-axis. In Figure 4, h= 77 mm, b=46 mm, a=11 mm, H=77 mm, d= 46 mm N b h a + N a | d H
A steel beam is simply supported at both ends and laterally loaded to bend it plastically, as shown in Figure Q3a(i). The cross section is hollow, and the beam dimensions are illustrated in Figure Qa (ii). Find the value of load P, Shape Factor, and Length of Plastic Lp when the critical section is in fully plastic condition if the steel acts elastic-perfectly plastic with a Yield Stress of 200 MPa.
A beam has a bending moment of 3.5 kN-m applied to a section with a hollow circular cross-section of external diameter 3 cm and internal diameter 2.3 cm . The modulus of elasticity for the material is 210 x 109 N/m2. Calculate the radius of curvature and maximum bending stress. Also, calculate the stress at the point at 0.6 cm from the neutral axis (i) The moment of inertia in (mm^4)= ii) The radius of curvature in (mm) = (iii) The maximum bending stress in (N/mm^2)= iv) The bending stress at the point 0.6 cm from the neutral axis in (N/mm^2)=
Please solve very soon completely
A beam has a bending moment of 3.5 kN-m applied to a section with a hollow circular cross-section of external diameter 3.6 cm and internal diameter 2.4 cm . The modulus of elasticity for the material is 210 x 109 N/m2. Calculate the radius of curvature and maximum bending stress. Also, calculate the stress at the point at 0.5 cm from the neutral axis (i) The moment of inertia = ii) The radius of curvature is (iii) The maximum bending stress is iv) The bending stress at the point 0.5 cm from the neutral axis is
A storage rack to hold the paper roll. Find force reactions and draw the shear and moment diagrams for the mandrel that extends half of the roll. Use singularity functions for this problem. Givens stanchion paper roll Density=984 kg/m^-3 OD=1.5 m ID=0.22 m L=3.23 m Density=mass/volume So W=(density*volume)*gravity Volume of hollow cylinder= (pi/4)(OD^2-ID^2)*Length of cylinder Length of mandrel=1/2 of L=>1.615 m mandrel base Assumptions: The storage rack is acting with a fixed support With a distributed load of "w" where w is the weight distrubuted
In the figure below, a built-in bar of length L 600 mm is forced by a force that makes 0-60 months with the horizontal. Since the intensity of the force is F =40kN draw bending moment and shear force diagrams. You then calculate the stresses at maximum tensile and maximum bass and show where they occur. (Cross section of the bar bxh-85 mm x 150 mm - 150 mm)
An overhead crane can be modelled as the beam system shown in Figure Q3. The beam of length L = 2.6 m is made of steel with Young's modulus, E = 202.4 x 10⁹ N/m². The second moment of area of the beam 1 = 3.7 x 10-4 m4. The stiffness of the spring, k₁ = 6.2 x 10³ N/m. The mass due to the load being lifted, m₁ = 3.4 x 10² kg. The beam mass is negligible compared with the load. You are required to find the equivalent stiffness of the beam, and then as your answer, to find the natural frequency of the system in Hz. Fill this answer in the box below. (Express your answer to 2dp) Flg. Q3 Answer: m₁ k₁

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