40kN/m E B Im 40 kN/m ↓ ↓ ↓ 4m D ↓ ↓ Im ☑ 3m √ 100 kN.m 90kN 2m 5m Note: Members BC and CD are rigidly connected; the hinge at C only isolates member CF
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- A uniform beam that 10-m long is being supported by two men, one man at each end. The weight of the beam. Is 100-N. If the first man supporting at the right side exert twice as much as the second man on the left, where must a 50-N motor be placed (measured from the first man) on top of the beam? Show complete solution.(5) A gas engine valve spring is loaded to 35kgf when the valve is closed & 52kgf hen the valve is open. The valve lift is 8mm. The outside diameter is to be from 38mm~45mm, & the permissible stress is 413N/mm2 . Determine: (a) the wire & outside diameter; (b) the number of effective coils; (c) the free length when it is squared & ground.Select all true statements regarding the effect of the steel moment arm, gamma, on normalized P-M interaction diagrams. a. As gamma increases, the column flexural strength capacity increases b. As gamma increases, the column flexural strength capacity decreases c. As gamma increases, the column axial strength capacity increases d. As gamma increases, the column axial strength capacity decreases
- Question 2) The figure shows a mechanical model of the Russel fracture traction device and the leg. The leg is held in balance in the position indicated by the two weights attached to the two cables. The combined weight of the leg and the cast is W=210 N. The horizontal distance between points A and B where the cables are attached to the leg is L=100 cm and the vertical distance is d=6 cm. Point C is the center of gravity of the cast and leg at three quarters of the L measured from point A (3L/4= 75 cm). The angle that cable 2 makes with the horizontal is measured as β=33°. Accordingly, in order for the leg to remain in balance in the shown position; a) Find the tensile force T1 in cable 1. (Write your result in N) b) Find the tensile force T2 in cable 2. (Write your result in N) c) Find the angle α of cable 1 with the horizontal. ResponseThe 300kn sphere is supported by a pull p and a 200kn weight passing over a frictionless pulley. If a=30°. Computer the value of p and tangent.PROBLEMFor the plane truss given below, using the Matrix Stiffness Analysis method, determine;• Determine displacements of the joints• Determine the forces in the truss members• Determine the support reactionsNote that the whole system has 4 nodes and hence 8 degrees of freedom. These degrees of freedomsare shown (in their positive directions) on the right hand side of the problem picture (1 to 8). So, thesystem stiffness matrix, K, will be 8x8 in size.Force and displacement units should be consistent (mm’s and N’s for example)
- The figure shows a mechanical model of the Russel fracture traction device and the leg. The leg is held in balance in the position indicated by the two weights attached to the two cables. The total weight of the leg and the cast is W=200 N. The horizontal distance between points A and B where the cables are attached to the leg is L=100 cm and the vertical distance is d=10 cm . Point C is the center of gravity of the cast and leg at three quarters of the L measured from point A ( 3L/4= 75 cm) . The angle that cable 2 makes with the horizontal is measured as β=40 ° . Accordingly, in order for the leg to remain in balance in the position shown; a) Find the tensile force T 1 in cable 1 . (Write your result in N ) b) Find the tensile force T 2 in cable 2 . (Write your result in N ) c) Find the angle α of cable 1 with the horizontalCalculate the maximum force P that can be applied in a phosphor bronze spring having mean diameter of 150 mm and consisting of 24 turns of 10-mm diameter wire when the spring is stretched 180mm. Use G = 42 GPa.A stepladder has negligible weight and is constructed as shown. The horizontal bar connecting the two legs of the ladder is pivoted half way up the ladder. A 47kg painter stands on the ladder a distance 4m from the foot of the ladder. The length of the ladder is 6.6m and the legs of the ladder are 8m apart on the floor. a) find the tension in the horizontal bar. The acceleration of gravity is 9.8m/s^2. Assume the floor is frictionless and that the ladder is symmetric and forms an isosceles triangle. Treat each half of the ladder separately. b) find the normal force on the left hand leg of the ladder and right hand leg of the ladder c) find the magnitude of the x and y component of the reaction force at the hinge that the left half of the ladder exerts on the right half.
- A uniform ladder 10m long and weighing 350N rests against a smooth wall at an angle of 30° with the wall. A 700N man stand 6m up from the bottom of the ladder. Find the horizontal force necessary to keep the ladder from slipping.It represents the equilibrium of a sphere of equal weigth as a homogenous and uniform bar whose length is four times the radius of the sphere. Find θ if the rope suspending the sphere. measures the same as the radius of the sphere.given: - initial length of steel tube= 200mm - aluminum rod is 0.175 mm shorter than steel tube. - l=0.175 mm properties of materials - ALUMINUM: coefficient of linear expansion: 23x10-6 /C modulus of elasticitty= 70 GPa - STEEL Coeficient of linear expansion: 11x10-6 /C Modulus of elasticity: 200 GPa *NEGLECT SHEAR AND LATERAL DEFORMATIONS. REQUIRED: - which of the two members will have contact on the rigid switch first and at what temperature - axial stress that would develop on 1st member after the 2nd material fills in the gap safely. PLS. SHOW FULL SOLUTIONS WITH BRIEF EXPLANATIONS AND NECESSARY DIAGRAMS...