3 kN/m +x A B C 4.0 m 4.0 m A propped 8m prismatic beam ABCD shown in the figure is loaded with a linearly increasing load of 3kN/m until its midspan. The beam is made from a certain wood and has a rectangular cross section of 200mm width and 400mm depth and Ewood=12GPA Provide or determine the following: a. Free body diagram with a loading diagram suitable for the Macauley moment expression and the boundary conditions at point A b. The constants of integration C1 and C2 c. The vertical force reaction and moment reaction at A and the reaction at pin C

3 kN/m +x A B C 4.0 m 4.0 m A propped 8m prismatic beam ABCD shown in the figure is loaded with a linearly increasing load of 3kN/m until its midspan. The beam is made from a certain wood and has a rectangular cross section of 200mm width and 400mm depth and Ewood=12GPA Provide or determine the following: a. Free body diagram with a loading diagram suitable for the Macauley moment expression and the boundary conditions at point A b. The constants of integration C1 and C2 c. The vertical force reaction and moment reaction at A and the reaction at pin C

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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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)).
A steel beam of I cross-section is simply supported on a span of 4m. Find the safe uniformly distributed load the beam can carry if the tensile stress is not to exceed 26 N/mm2. Also find the maximum compressive stress.
A simply supported beam is loaded with apoint load, as shown in the figure. The beam is a steelwide flange shape (W 12 X 35) in strong axis bending. Calculate the maximum deflection of the beam andthe rotation at joint A if L =10 ft, a = 7 ft, b = 3 ft,and P = 10 kips. Neglect the weight of the beam.
h F The beam of length 5.9 (m) and cross section base 0.10 (m) and height 0.16 (m) shown is made of plain steel with a modulus of elasticity of 200 (Gpa) and an ultimate strength of 400 (Mpa). The load is 250 (N) and the point q is 4.0 (m) from the wall in the x direction. What is the magnitude of vertical deflection of the beam at point q in units of meters?
SITUATION 1: A T-beam is simply supported and is used to carry a uniform load of 20 kN/m. The beam is 4m long and has the following properties of 5 the T-beam are as follows: bf=500mm; tf=D100mm tw=200mm; dw3300mm PAV
b) The beam shown in Figure Q3 (b) and (c) is made of steel with Young's Modulus of 200GPA and Yield Stress of 250MPA. The length L is 4m and the beam is pinned at A and supported by a roller at B. Calculate the Elastic-Plastic Moment for the cross-section shown in Figure Q3 (c) if the depth of plastic zone is 4mm. i. ii. Determine the value of distributed load w shown in Figure Q3 (b) if the length of the yielded zone is 50mm. t b A B h L Figure Q3 (c) Figure Q3 (b) Front view of simply supported beam Cross-section of beam b = 100mm, h = 40mm t = 4mm
The simply supported beam shown in Figure 1 (see next slide) spans a distance of L = 6 m and carries two concentrated loads P, which are applied at a distance of a = 1.5 m from the supports. The beam is fabricated by bolting a steel plate between two wood planks (see Figure 2). The wood planks each have dimensions of b = 30 mm and d = 240 mm. The steel plate has dimensions of t = 9.5 mm and d = 240 mm. The moduli of elasticity of the wood and the steel are 12.5 GPa and 200 GPa, respectively. a) Determine the maximum bending stresses produced in the wood planks and the steel plate if P = 8 kN. b) Assume that the allowable bending stresses of the wood and the steel are 8.25 MPa and 150 MPa, respectively. Determine the largest acceptable magnitude for concentrated loads P. (You may neglect the weight of the beam in your calculations.)
AC D BC BD C Figure of Question 2 Beam AC is subjected to a uniformly distributed load of w= 4.8 kN/m. The beam, which has a moment of inertia of 246(106) mm¹, is fixed at A and supported by rod BD. The rod BD is pinned at both of its ends, and has a cross-sectional area of 24 mm². Both beam AC and rod BD has a Young's modulus of 216 GPa. Given lengths AC = 4.0 m, BC = 1.0 m, and BD = 1.5 m. Find the vertical displacement at point C due to the distributed load w
Q2/ A beam with two overhang carries a uniform load of intensity w N/m, and support as shown in figure below. Determine the maximum permissible value of load w N/m. Given: the allowable tensile and compressive stress of 20Mpa. The beam has a rectangular cross section area with high-50mm and width=100mm 1m w N/m 2.5m 1-3 B 1m
Figure Q2 shows an 11 m long steel beam AC of uniform cross-section, simply supported at left end A and roller supported at location B. A uniformly distributed load of 40 kN/m is applied on the part AB of the beam together with a concentrated load of 20 kN at the end C. 20 kN 40 kN/m В. 8 m 3 m