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Universal beam section: bending moment, maximum stress, radius of curvature
A universal beam section has a second moment of area about its neutral axis of 6487 cm4 and its overall depth is 305 mm. The beam is simply supported at each end over a length of 5 m and carries a uniformly distributed load of 10 kN m-1 (including its own weight) over its whole length. Modulus of elasticity (E) = 210 GN m-2.
Determine:(i) the maximum bending moment(ii) the maximum stress in the beam(iii) the radius of curvature of the beam at the point of maximum bending moment.
Two ants race across a table 74 cm long. One travels at4.64 cm/s and the other at 3.99999 cm/s. while first one crosses the finish line, how far behind is the second one? Answer in units of cm.
How much work is completed by the Moon's gravitational field as a 915kg meteor comes in from outer space and impacts on the Moon's surface.
suppose you are outdoors in the Boundary Water Canoe Area of Northern Minnesota. You have in your hand the empty tube from a roll of paper towel. Outline the mathematical steps you would take to help you achieve an accurate estimate of the stars i..
A 10 resistor, 10 mH inductor, and a 110.0 µF capacitor are connected in series to a 50.0 V (rms) source having variable frequency. Find out the energy delivered to the circuit during one period if the operating frequency is twice the resonance fr..
Old MacDonald had a farm, and on that farm he had a gate (see below). The gate is 3m wide and 1.8m high, with hinges attached to the top and bottom. The guy wire makes an angle of 300 with the top of the gate and is tightened by a turn buckle to a..
Three stars, each with the mass and radius of our sun, form the equilateral triangle 5.0×109 {rm m} on a side. If all three are simultaneously released from rest, what are their speeds as they crash together in the center.
A bucket filled with water has a mass of 54 kg and is hanging from a rope that is wound around .050 m radius stationary cylinder. if the cylinder does not rotate and bucket hangs straight down, what is the magnitude of the torque the bucket produc..
A person of mass 72-kg stands at the center of a rotating merry-go-round platform of radius 2.80 m and moment of inertia 930 kgcdot m^2. The platform rotates without friction with angular velocity 2rad/s. The person walks radially to the edge of t..
What is the total magnitude of the magnetic flux by the coil before it is rotated.
A planet moves in an elliptical orbit around the sun. The mass of the sun is Ms. The minimum and maximum distances of the planet from the sun are R1 and R2, in that order.
A barbell spins around a pivot at its center . The barbell consists of two small balls, each with mass m = 460 grams, at the ends of a very low mass rod whose length is L = 24 cm. The barbell spins with angular speed ω = 50 radians/s.
Two children fighting over a toy pull on the toy in different directions. One child pulls to the north with a force of and the other child pulls to the east with a force of What is the magnitude of net force on the toy.
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