1I. Determine the reactions at supports. P-20 kN 98 kN/m 4m 3. 4 m 4 m 3 m
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- The beam shown has the following data:w1 = 10.0 kN/mw2 = 30.4 kN/mx = 14.8 my = 4.8 mDetermine the magnitude of the reaction force at C in kNMember AB (helical spring) and Member AC (axial rod) are carrying a weight at point A. Member AB has the following properties: R = 90 mm, n =4 turns, G = 70 GPa, d = 30 mm, and allow = 105 MPa while Member AC has the following properties: L = 2 , A = 500 mm2, E = 200 GPa, and allow = 30 MPa. Determine the maximum safe value of W (in N). Use simplified formula for the helical spring.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]
- The three-bar truss in Fig. a is subjected to a horizontal force of 5 kip. If the cross-sectional area of each member is 0.20 in2, determine the horizontal displacement at point B. E = 29(103) ksi.An open coiled helical spring is subjected to an axial loadof 50 kN. Determine the deflection of the spring andmaximum shear stress in the spring wire. The springparticular are as follows:(i) No. of coils = 4(ii) Mean radius of coil 30 mm(iii) Diameter of the spring wire = 5 mm(iv) Modulus of rigidity = 80000 MPa(v) Angle of helix = 10"(vi) Young's modulus, E = 2 x 105 N/mm²– The weight is suspended from structural A–36 steel alloy and 2014-T6 aluminum alloy wires, eachhaving the same initial length of 10 ft and cross-sectional area of 7×10–3 in2 (Figure Q1). If the weight is increasedgradually, determine which wire yields first? Explain which material model and yield criterion you will use? Justifyyour choices
- For the structure below indicate: a) What is the tension in cable BE? Consider P=792.1 kN.( Indicate the answer in kN.) b) What is the tension in cable CF. (Indicate the answer in kN.) c) What is the value of the reaction at D? (Indicate the answer in kN.)Please help me for the correct solution. A leaf spring carries a central load of 3000 N. The leaf spring has to be made of 10 steel plates 5cm wide and 6mm thick. If the bending stress is limited to 150 N/mm² determine: (i) Length of the spring and (ii) Deflection at the centre of the spring. Take E = 2 * 10 ^ 5 * N / m * m ^ 2..?A rigid beam is supported by a pin at A and two metallic wires at B and C. Determine the force P that causes the point C to displace downward by 0.6 mm. Given: E (wire B) = 200 Gpa, E (wire C) = 70 Gpa and both wires have a diameter D = 2 mm. Consider a linear elastic behavior.
- a machine mass m = 500 kg is mounted on a simply supported steel beam of length l = 2 that has a rectangular cross section (thickness = 0.1 m and width 1.2 m) and whose young modulus is given by E = 2.06x10 ^ 11 N / m2. To reduce the vertical deflection of the beam, a spring of stiffness k is added in the middle of the span, as shown in the following figure. Determine the value of k necessary to reduce the deflection of the beam by: a) -25% of its original valueb) -50% of its original valuec) -75% of its original valueA rigid beam is supported by a pin at A and two metallic wires at B and C. Determine the force P that causes the point C to displace downward by 0.6 mm. Given: E (wire B) = 200 Gpa, E (wire C) = 70 Gpa and both wires have a diameter D = 2 mm. Consider a linear elastic behavior. 2 m 1.5 m C 3 m 2 m 2 m Select one: O P= 235 N O P= 471 N O P= 314 N P= 294 NA bar of square cross section is subjected to point loads of P1, P2, P3 and P4 as shown here. Find the magnitude of the force P3 necessary for the equilibrium, if P1= 110 kN, P2 = 230 kN & P4 = 160 kN. Also, determine the stresses in each section & the net change in the length of steel bar. square of size a1=60mm, L1=34 cm, size a2 = 35mm, L2=36 cm, size a3=60 mm & L3 =31 cm Take E = 173 GPa. The force P3 to make it to equilibrium in kN is The Stress in section 1 in N/mm2 is The Compressive Stress in section 2 in N/mm2 is The stress in section 3 in N/mm2 is The total change in length in x10-3 mm is