- shorteningQuestion 4The inverted T beam shown in Figure Q4 carries a uniformly distributed load of 40 kN/m and a concentratedload of 75 kN.(a) Draw the bending moment diagram for the beam indicating the values at all principal sections.[13 marks](b) Calculate the second moment of area of the cross-section with respect to the horizontal neutral axis.[4 marks](c) Calculate the maximum normal stress in tension and compression due to bending.(d) Sketch the normal stress distribution over the cross-section, at the location of maximum bendingmoment, stating all important values.[4 marks][4 marks]228A40 kN/mIse1.5 mBCentroid of area of cross-section3 m75 kN- 60C2 m600V160-400Cross-section (dimensions in mm)Figure Q4tens-veCamp

(a) Drawing the bending moment diagram:The bending moment diagram shows how the bending moment…

Answered: - shortening Question 4 The inverted T…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Q3: A hexagonal cross section bar as shown in Figure (2) below, is used as a simply supported beam. The beam carries a central load of 60 kN. Draw the shear stress distribution diagram for a section of the beam at quarter of the beam length from the left hand support. Figure (2) 25 mm 30° 30°
(a) For the cantilever beam shown in Figure Q1, 60 N 40 N/m 80 Nm 1m 1m 1m 1m Figure Q1 (i) write bending moment expression, M(x), using the Macauley's method determine the bending moment using M(x) for specified (ii) cross-sections at E, C and A (iii) justify the bending moment result calculated in (ii) for the free end of the beam at A (b) For a rectangular cross-section of width 100 mm and height 400 mm of a beam, the shear force is 2x106 N. Calculate the shear stress (t) at the following locations: (i) (ii) The top surface (iii) 60 mm from the top surface The neutral axis
Question Four A beam of the cross section that is shown in Figure a was supported by two rigid supports that tilt by 45° from the horizontal ( see Figure b). The own weight (w) of the beam is 1.5 kN/m. allowable tensile stress (o), = 50 MPa. Calculate the maximum length (L) of the beam that can be supported. 20 cm ... 45 If the maximum %3D 40 cm 15 cm 10 cm (а) 450 (b)
Part A Consider the beam shown in (Figure 1). Suppose that the distributed load w = 700 lb/ft Follow the sign convention. Figure Vc = Submit Part B 900 lb-ft Mc = -3 (1 μÀ Value Qubmait Determine the internal shear force acting at point C Express your answer to three significant figures and include the appropriate units. Request Answer 6 ft μA Value C W Request Answer Units 6 ft Determine the internal moment acting at point C Express your answer to three significant figures and include the appropriate units. www ? B Units < 1 of 1 900 lb-ft-
Solid
For the cantilever beam shown in the figure below, invoke the equilibrium of cut free-body sections of the beam to (a) write equations for the shear force and bending moment distributions as functions of x. Include a free-body diagram of each cut section and force and moment balance calculations. Examine the shear force and bending moment formulas and deduce the sign of the deformation within each inter- val. Include a sketch of a deformed material element that illustrates the shear and bending deformation within the interval. (b) Find the shear force of the largest magnitude in the beam and state where it occurs within the beam. (c) Find the bending moment of the largest magnitude in the beam and state where it occurs within the beam. 200 N/m 0.6 m- X 600 N 0.2 m 0.2 m
Find the shear force at point A, (VA) in kN. Find the bending moment at point A,(MA) and point B,(MB) in kNm. Find the shear force at point B,(VB) in kN.
2. A cantilever of length 5 m carries a UDL of 2 KN/m over the whole length and a point load of 4 KNm at the free end. Draw the shear force and bending moment diagrams for the cantilever. [Max. SF = 14 KN; Max. BM =-45 KN-m] %3D 3. A cantilever 2.5 m long carries a UDL of 60 KN/m at a length of 1.8 m from the free end. Draw the shear force and bending moment diagram.
The figure below shows two solid homogenous rectangular beam sections with (breadth x depth) dimensions in two different orientations as follows: Beam Section Orientation A (t mm x 2t mm); and Beam Section Orientation B (2t mm xt mm). Both beams sag when subjected to the same loading and support conditions resulting in compressive stresses above the centroid line (neutral axis). Which statement accurately describes the relative maximum compressive stress (ocompression) between these beam section orientations? * Maximum compressive stress (acompression) in orientation A is greater than orientation B by a factor of 4. Maximum compressive stress (acompression) in orientation B is greater than orientation A by a factor of 4. * Maximum compressive stress (acompression) in orientation B is greater than orientation A by a factor of 2. 4 Maximum compressive stress (acompression) in orientation A is greater than orientation B by a factor of 2.
Example 1: A beam with an inverted tee-shaped cross section is subjected to positive bending moments of Mz = 5 kN m. Determine: (a) the centroid location, the moment of inertia about the z axis, and the controlling section modulus about the z axis. (b) the bending stress at points H and K. State whether the normal stress is tension or compression. (c) the maximum bending stress produced in the cross section. State whether the stress is tension or compression. NIS NTS OSI OSI (7) 120 mm

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