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The figure shows a simply supported beam of length 10a, which is loaded by a transverse force P at the center of the beam. The cross-section is a double symmetric box profile with overall dimensions given in terms of a and wall thickness t. The profile is homogeneous and thin-walled with
a) Find the distribution of the internal forces and the moment Mz and shear force Qz at the section indicated by the dashed line immediately to the left of the force P.
b) Find the distribution of the normal stress σ and shear stress τ in the cross-section.
c) Determine the largest principal stress component σ1 at point D in the cross-section, and find the orientation of σ1 with respect to the longitudinal x axis.
d) Determine the von Mises stress at point D in the cross-section
As a function of time, the velocity of the football can be written as . (If the acceleration of an object is constant, its average acceleration is the same for all time periods.) Calculate the average acceleration vector of the football for the ti..
estimate the electrical energy stored in the atmosphere if the earths electric field extends upward for 1700 m. and
Four masses lie in a rectangular arrangement in the xy-plane. One mass is at the origin and the rectangular legs are parallel to the CS axes. Determine the net gravitational force on each of the masses
A 0.12 μF capacitor, initially uncharged, is connected in series with a 10 kΩ resistor and a 12 Volt battery of negligible internal resistance. Determine how long does it take the capacitor
Two tiny conducting spheres are identical and carry charges of -29.4C and +70.0C. They are separated by a distance of 2.66 cm. (a) What is the magnitude of the force that each sphere experiences?
There are four charges, each with a magnitude of 1.9 µC. Two are positive and two arenegative. The charges are fixed to the corners of a 0.27 m square, one to a corner, in such a way thatthe net force on any charge is directed toward the center of..
A vertical scale on a spring balance reads from 0 to 195 rm{N}. The scale has the length of 11.5 rm{cm} from the 0 to 195 rm{N} reading. A fish hanging from the bottom of spring oscillates vertically at a frequency of 2.30 rm{Hz}. What is the m of..
In a hydraulic system, the larger piston to be used to lift a 1670kg car has a diameter of 24.2cm, If instead compressed air at 115 psi of pressure is used, what is the largest mass car (in kg) that the system can lift
The bob of a simple pendulum that is 1.00m long is held so the sting is horizontal and just taut. How fast is the bob moving when the string makes a 30.0degree angle with the vertical
A 5-kg mass moves under the influence of a force F=(2e^t ?)N, where t is time. What is the particle's position as a function of time
A photon has an energy equal to the kinetic energy of an electron with speed, u, which may be close to the speed of light, c. Calculate the ratio of the wavelength of the photon to the wavelength of the electron
the drive chain in a bicycle is applying a torque of .850 Nm to the wheel of the bicycle. What is the angular acceleration of the wheel
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