4. The figure below shows a beam clamped at both ends and the associated loading. Take E = 30x10° psi. Steel members (E,= 30×106 psi) 200 lb/in. 1.5 in. dia. 1.5 in dia. 2 in dia. 4 in 4 in 12 in c) Using FE formulation (based on FE element matrices via hand calculations), find the displacement and rotations at the two ends where the diameter changes from 1.5 to 2.0 inches.

A steel riser pipe hangs from a drill rig located offshore in deep water (see figure). (a) What is the greatest length (meters) it can have without breaking if the pipe is suspended in the air and the ultimate strength (or breaking strength) is 550 MPa? (b) If the same riser pipe hangs from a drill rig at sea, what is the greatest length? (Obtain the weight densities of steel and sea water from Table M, Appendix I. Neglect the effect of buoyant foam casings on the pipe.)

A gold-alloy microbeam attached to a silicon wafer behaves like a cantilever beam subjected to a uniform load (see figure). The beam has a length L = 27.5 m and rectangular cross section of a width b = 4.0 m and thickness t = 0.88 m. The total load on the beam is 17.2 N. If the deflection at the end of the beam is 2.46 m is what is the modulus of elasticity Egof the gold alloy? (Use the formulas of Example 9-2.)

Solve the preceding problem for a W 250 × 89 steel column having a length L = 10 m. Let E = 200 GPa.

(a.)The figure below shows a steel rod of 25mm² cross-sectional area. It is loaded at four points K, L M, and N. Assume Esteel = 200GPA. Find the total change in length of the rod due to the four loadings. M 100N 250N 200N 50N 500mm 400mm 1700mm Figure Q.la: Steel rod

5. A steel bar has dimension of 5 cm x 2.5 cm x 1.5 mm respectively. It is subjected 3 mutually perpendicular loads of 250 kN (Tensile), 2.5 MN (tensile), 3.5 MN (compressive) acting along length, breadth & thickness directions respectively. Find the change in volume. Take E as 200GPA & Poisson's ratio 0.25. Also find the change in Length, breadth & thickness.

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)

The load per foot of beam length varies as shown. For x = 18 ft, the unit load is 601 lb/ft. At x = 0, the load is increasing at the rate of 51 lb/ft per foot. Calculate the support reactions at A and B. The reactions are positive if upward, negative if downward. [Answer: RA = 2280 ft, RB = 4080 lb]

a) For the composite beam section in Figure Q6a, calculate the second moment of area about its centroidal x-x axis (Ixx centroid), where b₁ = 125.50 mm, b₂ = 25.75 mm, b3 = 36.35 mm, d₁ = 78.00 mm and d₂ = 24.00 mm Give your answer to 2 decimal places. b2 →→ dz Load b1 Support b3 → Figure Q6a b) Figure Q6b shows a simply supported 3.75 m long beam with a solid round cross- section and a concentrated point load of 250 kN acting at the mid-point of the beam. If the diameter of the beam cross-section is 165 mm, calculate the maximum tensile stress [Otensile_max] and the maximum compressive stress [Ocompressive_max] experienced by the beam. Use lxx = [¹/4] for the second moment of area of a round section beam about its x-x centroid axis. Assume that the weight of the beam is zero and that the beam section is solid and uniform along its entire length. Give your answer in N/mm² to 2 decimal places. d1

Read the question carefully and give me right solution according to the question.. Please answer all. Don't miss anything. Figure 5 shows a rigid horizontal beam ABCE which is supported by a pair of rectangular bars CD at C. The cross-sectional size of each of the rectangular bar is 37.5 × 12.5 mm. Modulus of elasticity of the bar is E=80 GPa. Vertical loads of 17.5 kN and 35 kN act at points B and E, respectively.Compute:i) Vertical displacement of point Bii) Vertical displacement of point EIf it is given that the allowable displacement of point C is 1 mm, determine the minimum thickness of rectangular bar CD required. The width of the rectangular bar should be kept unchanged at 37.5 mm.