
A uniform load Po acts on a long and narrow rectangular plate with edges at y 0 and y b both clamped as shown in figure...
Figure Q3 shows a simply supported beam carrying a point load. The beam hasa rectangular hollow steel section as shown in Figure Q3. a. Calculate the second moment of area of the section about the horizontal (10 marks) centroidal axis. Calculate the maximum allowable value of the point load Wif the elastic bending (15 marks) b. stress in the beam is to be limited to 250 MPa. c. Calculate the maximum shear stress at q-q in the beam when the...
A beam with length L-2 m and rectangular cross-section of width b-75 mm and height h 150 mm has a uniformly distributed load of intensity q 2.5 kN/m (see figure below). What is the maximum deflection δmax in millimeters? The material is aluminum with modulus of elasticity E 70 GPa. T77
A continuous beam ABC shown in Figure 2 is fixed at A. Supports at B and C are rollers. A uniform distributed load 40kN/m is applied force acts downward on the span of BC as shown in Figure 2. The EI of the beam is over the span of AB and a 60kN constant (a) Determine the internal moments at A and B using the slope-deflection method [10 marks] (b) Draw the bending values of bending (c) Sketch the deformed...
A simply supported composite beam 3 m long carries a uniformly distributed load of intensity q= 30 kN/m (see figure). The beam is constructed of a wood member, 100 mm wide by 150 mm deep, and is reinforced on its lower side by a steel plate 8 mm thick and 100 mm wide. (a) Find the maximum bending stresses σw and σs, in the wood and steel, respectively, due to the uniform load if the moduli of elasticity are Ew =...
Question 2(b) A 0.6 cm thick rectangular plate is pulled in tension by two loads in the x and y directions as shown in Figure 1 below. The total deflection in the x and y direction is 0.021 cm and 0.009 cm, respectively. The z direction has no load and the deflection is not known. What is the Poisson's ratio of the material? Py 10 cm 5 cm Py = 9 KN By = 0.009 cm (total) Px = 5...
OUESTION 2 The solid cylindrical member in Figure 3 is under a point load of P at point C. If the beam has a radius ofr 50 mm, length L = 4 m, and load P 5 kN and E= 200 GPa (a) Draw the free body, shear force, bending moment and torque diagrams for both sections of the member (4 Marks) (b) What is the maximum bending stress induced in the member? (3 Marks) (c) What is the maximum...
b) A flat thin isotropic rectangular plate of thickness (h) and material properties (E.v) is shown in the Figure below. The plate has two opposite edges along x-axis which are fixed; while the other two opposite edges along y-axis are hinged. A uniformly distributed load 9 =9, applied. Derive an expression of deflection w(x,y) using Levy's solution. b/2 b/2 earch
Q2 The 10 m long simply supported beam is subjected to a uniformly distributed load w = 10 kN/m throughout and a point load P =10 kN at the midspan of the beam, as shown in Figure Q2 (a). The cross section of this beam is depicted in Figure Q2 (b), which consists of three equal rectangular steel members. Self-weight of the beam is neglected. 30 mm P= 10 KN W = 10 kN/m 200 mm 5 m 5 m...
Q2 The 10 m long simply supported beam is subjected to a uniformly distributed load w = 10 kN/m throughout and a point load P =10 kN at the midspan of the beam, as shown in Figure Q2 (a). The cross section of this beam is depicted in Figure Q2 (b), which consists of three equal rectangular steel members. Self-weight of the beam is neglected. 30 mm P = 10 kN W = 10 kN/m 200 mm 5 m 5...
Q2 The 10 m long simply supported beam is subjected to a uniformly distributed load w = 10 kN/m throughout and a point load P =10 kN at the midspan of the beam, as shown in Figure Q2 (a). The cross section of this beam is depicted in Figure Q2 (b), which consists of three equal rectangular steel members. Self-weight of the beam is neglected. 30 mm P = 10 kN w = 10 kN/m 200 mm 5 m 5...