In terms of Poisson's ratio (v), the ratio of Young's modulus (E) to shear modulus (G) of elastic materials is (a) 2(1+v) (c) (1+v)/2 (b) 2(1-v) (d) 2 (1-v)

A 200kg machine is attached to the end of a cantilever beam of length L=2.5m, elastic modulus E=200x109 N/m2, and the cross sectional moment of inertia I= 1.8 x 10-6 m4. Assuming the mass of the beam is small compared to the mass of the machine, what is the stiffness of the beam?

A beam supported by three identical springs at points A,B,C (see figure). Given that flexural of rigidity of the beam, EI= 2.029X1011 N.mm2 ; spring constant = 1471.5N/mm, w=116N/mm All dimensions  are in mm. 1. What are the reaction force RA,RB,RC?

4. (a) A steel beam in the form of a cantilever of length 2 m, designed for a structural engineering application, is required to carry a load of 40 kN at the free end as shown in Figure 4(a). As the engineer implementing the design, you want to make a reasonable estimate of the vertical deflection at the free end. Using the double integration approach, calculate the end deflection. E = 200 GNm², I = 15 x 10 mª. (b) As the end deflection is of unacceptable magnitude for the intended purpose, the design team suggests that the cantilever be simply supported at the middle of its length to the level of the fixed end as shown in Figure 4(b). (i) (ii) (iii) What is the main difference between the two problems from a structural analysis standpoint? To re-calculate the end deflection and the load R on the prop, using Macaulay's method, write the expression for bending moment in the entire beam and then integrate the moment equation for slope and deflection. State the boundary conditions which…

A uniform beam is simply supported at both ends x = 0 and x = L. Find the shape of the center line of the beam, given the weight per unit Length is w. v(x) = [xª – 4 Lx3 + 6L?x²] 24 EI a. y(x) = [x4 – 2Lx3 + L?x²] 24 EI b. 2AEX1- 2Lx3 + L³x] 24 EI C. v(x) = v(x) = [2x4 -5 Lx3 + 3L?x²] 24 EI d. y(x) = [2x4 - 3L³x3 +3L²x²] е. 24 EI

Given the beam shown below (E=200GPa, I=180x106 mm4, 80mmx300mm), do the following: a. Draw the shear force and bending moment diagrams b. Find the magnitude and location of the maximum tensile bending stress c. Using superposition, find the elastic curve and then the deflection of the beam at B, C, and D 8kN 4kN A B 4m 3m 3m

(VI.) In the following figure, a uniform beam of length 6.00 meters is supported by a horizontal cable and a hinge at angle 60.0 degrees, the weight of the beam and the box are 4.00x10^2 and 1.00x10^3 N respectively. Find out a) the tension in the cable, b) the forces the hinge exerts on the beam.

The horizontal beam AB of 1.8-2 cross-sectional dimensions (b x h = 19 mm x 200 mm) is supported by the inclined support CD and is under the load of P = 12 kN at point B [see Fig. (a)]. The struts consisting of two rods, each 5b/8 in thickness, are connected to the beam by bolts penetrating the three rods at point C [see Fig. (b)]. (a) If the allowable shear stress of the bolt is 90 MPa, what is the minimum diameter dmin required for the bolt at point C? (b) If the allowable pressure stress of the bolt is 130 MPa, what is the minimum diameter dmin required for the bolt at point C?

please answer the question below and explain steps as this is intended for revision. many thanks

What is the bending moment effect in the cross section of x=4.5m in the beam AB, whose A www wwwwwwwww end is fixed support, B end is supported by sliding support and loaded as in the figure? (P:6N w:3N/m) Aucu sabit mesnetli Bucu kayer mesmettre desteklenmiş ve şekildeki gibi yüklenmiş AB-kirişinde, x=4,5m kesitindeki Eğilme momenti tesiri nedir? P=6N, w=3 N/m P W 30° 4m 1m E 4m 2m