Calculate the moment and axial load capacity of the circular column corresponding to the given strain distributions. Use the formulas given below for the area and the centroid of circle segment. Column diameter D=2r= 500 mm 60 fa= 40 MPa Eco= 0.0021 mm/mm 140 E= 40000 MPa fy= 420 MPa E= 200000 MPa 140 60 8-030 Area of one 630 bar= 707 mm2 a) Ec top= 0.003 mm/mm c= 200 mm b) Ecsop= 0.003 mm/mm c= 400 mm

Please only include the sketch mentioned in the question as I have already provided the calculation and answers to the question.

3) For the given plate subjected to two point forces, calculate the nodal displacements and the moments at points A and B. (Note that A is the mid-point of the finite element) E = 30000 MPa h = 0.14 m v = 0.20 2 m 2 m 50 kN 2 m 50 kN A B 50 kN 50 kN 2 m 50 Cross-section along the symmetry axis

Please don't provide handwritten solution...

Calculate the reaction forces on the bearing near the pulley and bearing at the far end of the shaft. Include a free body diagram and coordinates. Given the shaft length is 1 meter=  Mass=40Kg  Static load = 8600N Dynamic (running load) = 8400N   Some hints:1. This solution will require you to draw known forces and find unknown reactions in 2perpendicular planes and then add the horizontal and vertical reaction forces asvectors to find the reaction force (hypotenuse).2. Bearings are usually mounted as near as possible to the ends of the shaft withoutfouling the other machine elements. The bearing at the far shaft end can be mountedat the 1 meter point. The bearing at the pulley end should allow clearance to assemblethe pulley.3. Bearing reaction forces are typically simplified as a single point load through thebearing centre.

A 60 mm diameter shaft AB is rigidly attached to the beam CDFH of 30 mm by 40 mm rectangular cross-section as shown in Figure Q4. The beam is pin supported at C and H. A torque of 2 kN.m (moment about z axis) is applied to end B of the shaft. Determine: (a) the reactions at supports Cand H, (b) the rotation about z axis of end B of the shaft by using Castigliano's second theorem, (c) the slope (rotation about z axis) at point C of the beam by using Castigliano's second theorem. The shaft and the beam are made of an aluminum alloy for which E = 72 GPa and G=27 GPa. Assume that the hub DF is rigid and neglect the strain energy due to transverse shear.

Could you help me with the first few steps on solving this using vectors? I need to calculate the forces in AB and BC. I don't the answer right away but I don't know where to start.

S = 70

solve, show all steps and fbd. do not provide copied answer or I will report    Do problem 12 -22 using double integration. Also find how much additional deflection is added (to the max) if we account for the beam self-weight. Find this additional deflection using the table in appendix C.     mechanics of materials chapter 12 (integration of moment)= theta, and integration of theta = v

A flanged wooden shape is used to support the loads shown on the beam. The dimensions of the shape are shown in the second figure. Assume LAB = 8 ft. LBc=2 ft, LCD= 4 ft, LDE= 4 ft, Pc = 1850 lb, PE = 2160 lb, WAB = 830 lb/ft, b₁ = 10 in., b2= 2 in., b3 = 6 in., d₁ = 2 in., d₂= 11 in., d3 = 2 in. Consider the entire 18-ft length of the beam and determine: (a) the maximum tension bending stress or at any location along the beam, and (b) the maximum compression bending stress oc at any location along the beam. Answers: (a) σT = (b) a = WAB LAB i 545.779 706.391 B Pc LBC b₁ b3 C LCD -b₂ psi. psi. D ↓ d₁ LDE d₂ PE E