82 / 20 INSTIT KWAME NKRUMAH UN Determine the deflections and moments a simply supported rectangular...
1. Determine the bending moments and shear forces at the given locations for a sim supported square plate subjected to a uniformly distributed load qo
1. Determine the bending moments and shear forces at the given locations for a sim supported square plate subjected to a uniformly distributed load qo
2. A rectangular plate with sides 6 m and 4 m of thickness l 12 mm (Fig. 1) is subjected to the stresses σο Ơy and Fry. An Airy stress function is proposed to be φ = 12x3y. (a) Is φ a possible valid Airy stress function? Prove your answer by a calculation. (b) If φ is valid, determine the values of stresses (Ox, σ, and τ, at point (xy,z) which satisfy the stress function. (c) Draw a sketch showing...
For the simply supported plate subjected to the loading shown in
the figure. Determine q(x,y), qmn, q(x,y) (double Fourier series),
wmn, w(x,y) (double Fourier series?)
х b a у
0.5 in 1.75 in. 20 in 20 in 20 in 20 in The simply supported notched bar is subjected to the two loads of magnitude of P 100 lb. The bar is made of A-36 steel (Sy-36ksi). Your job is to determine the minimum radius required in the notch such that the maximum stress does not surpass the yield strength. The problem takes you through the steps 1 (10 pts) Find the reactions 2. (20 pts.) Draw the shear and...
The rigid bar ABC is supported by two links, AD and BE, of un mm rectangular cross section and made of a steel that is assumed to be elastic with E 200GPa. Knowing that a-0.8m, determine (a) the average normal stress in each link, (b) the deflection of points A and B iforn 40x10-11-T SAN
I want problem solving
5.8-3 A simply supported wood beam is subjected to uniformly distributed load q. The width of the beam is 150 mm and the height is 200 mm. Determine the nor- mal stress and the shear stress at point C. Show these stresses on a sketch of a stress element at point C q =5.8 kN/m 75 mm С B A Μ 1 m 3 m 200 mm Z 150 mm PROBLEM 5.8-3
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 =...
A Class 1 post-tensioned rectangular concrete beam is simply supported over a 10 m span. The characteristic imposed load consists of a single 50 kN force at midspan. The characteristic concrete strength is 50 N/mm2 and the unit weight of concrete is 25 kN/m. The beam is of a uniform section (Fig. 5) having the following properties: b- 250 mm; h 500 mm. Assume the concrete strength at transfer is 40 N/mm2 and there is no prestressed loss. (1) Determine...
1.2 (20 Marks) A beam of rectangular cross section (width b and height h) supports a uniformly distributed load along its entire length L. The allowable stresses in bending and shear are all and Tallow, respectively. a) If the beam is simply supported, what is the span length Lo below which the shear stress governs the allowable load and above which the bending stress governs? b) If the beam is supported as a cantilever, what is the length Lo below...
Q1 A simply supported beam of length L = 10 m carries a uniformly distributed load w = of 10 kN/m, as shown in Figure Q1 (a). The beam is made from a I-section and the thickness for all the three rectangular members is of 10 mm. All other dimensions are illustrated in Figure Q1 (b). Self-weight of the beam is neglected. 300 mm w = 10 kN/m 300 mm L/4 L/2 L/4 300 mm Figure Q1 (a) Figure Q1...