1) determine the normal force at point D (ND) 2) determine the shear force at point D( Vd) 3) determine the moment at point D( Md)
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- A weight W = 4000 lb falls through a height h = 0.5 in, onto the midpoint of a simple beam of length L = 10 ft (see figure). Assuming that the allowable bending stress in the beam is = 18,000 psi and E = 30 x 10* psi, select the lightest wide-flange beam listed in Table F-l(a) in Appendix F that will be satisfactory.A fixed-end b earn is subjected to a point load at mid-span. The beam has a rectangular cross section (assume that the h/b ratio is 2) and is made of wood (E = 11GPa). Find height h of the cross section if the maximum displacement of the beam is 2 mm. Calculate the displacement of the beam at the inflection points.-3 The deflection curve for a simple beam AB (see figure) is given by v=q0x360LEI(7L410L2x2+3x4) Describe the load acting on the beam.
- A two-axle carriage that is part of an over head traveling crane in a testing laboratory moves slowly across a simple beam AB (sec figure). The load transmitted to the beam from the front axle is 2200 lb and from the rear axle is 3800 lb. The weight of the beam itself may be disregarded. Determine the minimum required section modulus S for the beam if the allowable bending stress is 17,0 ksi, the length of the beam is 18 ft, and the wheelbase of the carriage is 5 ft. Select the most economical I-beam (S shape) from Table F-2(a), Appendix F.A simple beam with an overhang is subjected to d point load P = 6kN. If the maximum allowable deflect ion at point C is 0.5 mm, select the lightest W360 section from Table F-l{b) that can be used for the beam. Assume that L = 3 m and ignore the distributed weight of the beam.A simple beam AB of length L is subjected to loads that produce a symmetric deflection curve with maximum deflection S at the midpoint of the span (see figure). How much strain energy U is stored in the beam if the deflection curve is (a) a parabola and (b) a half wave of a sine curve?
- A weight W = 20 kN falls through a height h = 1,0 mm onto the midpoint or a simple beam of length L = 3 m (see figure). The beam is made of wood with square cross section (dimension don each side) and E = 12 GPa. If the allowable bending stress in the wood is °aLLow =10MPa, what is the minimum required dimensionA cantilever beam of a length L = 2.5 ft has a rectangular cross section {b = 4in,, h = Sin,) and modulus E = 10,000 ksi. The beam is subjected to a linearly varying distributed load with a peak intensity qQ= 900 lb/ft. Use the method of superposition and Cases 1 and 9 in Table H-l to calculate the deflection and rotation at B.A propped cantilever beam, fixed at the left-hand end A and simply supported at the right-hand end B, is subjected to a temperature differentia] with temperature T1on its upper surface and T2on its lower surface (see figure).
- A cantilever beam with length l is carrying a uniformly distributed load, w. What is the maximum deflection of the beam, in millimeters? w = 7 kN/m l = 6.7 m EI = 60000 kNm2Describe what is the section modulus of the beams and its importance. Describe the formula for the section modulusCalculate the deflection to the cross sections with the given Load P=23.54N for all the figures. youngs modulus=0.7*105 N/mm2 and the length of the beam L=560mm Fig1. Four profiles with the same cross section area