A 4.8 m long from fixed point, 0.5 m wide and assumed a thickness of 30 mm throughout a springboard made of high strength S-2 glassfiber material which weighs 3.6-kN/m. If a diver impacts 30-kN at the free-end of the board when about to dive, calculate: the reaction at the fixed-end of the cantilever and bending moment diagram the maximum bending moment in the beam if the material Young's Modulus of elasticity is 93.8 GPa find i. ii. iii. the maximum slope of the beam the maximum defle ti iv . al boom

A 4.8 m long from fixed point, 0.5 m wide and assumed a thickness of 30 mm throughout a springboard made of high strength S-2 glassfiber material which weighs 3.6-kN/m. If a diver impacts 30-kN at the free-end of the board when about to dive, calculate: the reaction at the fixed-end of the cantilever and bending moment diagram the maximum bending moment in the beam if the material Young's Modulus of elasticity is 93.8 GPa find i. ii. iii. the maximum slope of the beam the maximum defle ti iv . al boom

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.8.12P: A bungee jumper having a mass of 55 kg leaps from a bridge, braking her fall with a long elastic...

See similar textbooks

Similar questions

A steel riser pipe hangs from a drill rig located offshore in deep water (see figure). (a) What is the greatest length (meters) it can have without breaking if the pipe is suspended in the air and the ultimate strength (or breaking strength) is 550 MPa? (b) If the same riser pipe hangs from a drill rig at sea, what is the greatest length? (Obtain the weight densities of steel and sea water from Table M, Appendix I. Neglect the effect of buoyant foam casings on the pipe.)
A 4.8 m-long from fixed point, 0.5 m wide and ssumed a thickness of 30 mm troughout a springboard made of high strengh S-2 glassfiber material which weighs 3.6-kN/m. If a diver impacts 30-kN at the free-end of the board when about to dive, calculate: i. the reaction at the fixed-end of the cantilever and bending moment diagram. ii. the maximum bending moment in the beam. if the material Young's Modulus of elasticity is 93.8 GPa find: iii the maximum slope of the beam. iv. the maximum deflection in the beam. v. the maximum strength in the material
A brass flat, clamped disk valve of 0.4 m diameter and 0.020 m thickness is subjected to a uniform liquid pressureof 400 kPa.1. Define the boundary conditions at the edges of the plate2. Calculate maximum deflection of the disk3. Calculate maximum and transverse bending moments4. Determine maximum bending stresses and its location If the disk is assumed simply supported,5. Define the boundary conditions at the edges of the plate6. Calculate maximum deflection of the disk7. Calculate maximum and transverse bending moments8. Determine maximum bending stresses and its location
A uniform beam, of mass 31 kg/m run, is simply supported on a span of3.6 m. Taking EI for the beam as 7 MN.m2, calculate the frequency oftransverse vibrations.This frequency is to be reduced by 40% by fixing three equal masses tothe beam, at the mid-point and the quarter points. Calculate how muchthese masses should be.
(Q1) A uniform beam, of mass 31 kg/m run, is simply supported on a span of3.6 m. Taking EI for the beam as 7 MN.m2, calculate the frequency oftransverse vibrations.This frequency is to be reduced by 40% by fixing three equal masses tothe beam, at the mid-point and the quarter points. Calculate how muchthese masses should be. (Q2) A beam 6 m long, simply supported at each end, carries a load of 6 t/mrun, extending from a point 1.2 m from one support to another point 4.2m from the same support. EI for the beam is 110 MN.m2. The mass of thebeam itself may be neglected.Determine the frequency of transverse vibrations of the beam in avertical plane:a) very roughly, assuming the whole load to be concentrated at itscentre of gravity.b) more accurately, by treating the load as three equal concentratedloads applied at suitable points. (Dunkerley's method issuggested.)
In a small gantry for unloading goods from a railway waggon, it is proposed to carry the lifting tackle on a steel joist, 24 cm by 10 cm, of weight 320 N/m, supported at the ends, and of effective length 5 m. The equivalent dead load on the joist due to the load to be raised is 30 kN, and this may act at any point of the middle 4 m. By considering the fiber stress and the shear, examine whether the joist is suitable. The flanges are 10 cm by 1.2 cm, and the web is 0.75 cm thick. The allowable fiber stress is 1 15 MN/m2, and the allowable shearing stress 75 MN/m2.
A vertical shaft 20 mm in dia and 100 cm long is mounted in long bearings and carries a rotor of mass 10 kg midway between bearings. The center of rotor is 0.5 mm away from axis of shaft. Neglect the weight ofshaft and take E-200 GPa forshaft material. Determing whirling speed of shaft and bending stress induced in it when it is rotating at 2000 rpm.
A safety valve (pressure relieve valve) on top of a pressure vessel containing steam under pressure p = 2 MPa, has a discharge hole of diameter d = 10 mm as shown in the figure below. The valve is designed to release the steam when the pressure reaches the maximum allowable value pmax = 2.23 MPa. If the free height (i.e., uncompressed height) of the spring hfree = 135 mm and its spring stiffness k = 5 kN/m, what should be the dimension h of the valve?
Draw the free body diagram of this problem
(a) In Fig. a6.00-m-long, uniform beam is hangingfrom a point 1.00 m to the rightof its center. The beam weighs 140 Nand makes an angle of 30.0° with thevertical. At the right-hand end of thebeam a 100.0 N weight is hung; anunknown weight w hangs at the leftend. If the system is in equilibrium,what is w? You can ignore the thicknessof the beam. (b) If the beammakes, instead, an angle of 45.0° withthe vertical, what is w?
An 87.5 kg fisherman sits at the center of the boat, which has a uniform width and a weight per linear foot of 4.1 lb/ft. The boat is 13 m long. Assume that the water exerts a uniform distributed load upward on the bottom of the boat. a. What is the applied load (lb) applied to the boat due to the weight of the fisherman? Round up to the next whole value.b. Using the applied load at Item 9.a, what is the maximum shear force (lb) exerted on the boat?c. What is the maximum bending moment (lb-ft) exerted on the boat?d. At what distance from the left side of the boat the maximum bending moment occurs?
The length of the smooth circular shaft with a solid cross-sectional area of 315nm2 is 1 meter. Instead of this shaft, it is desired to use an evacuated circular-section shaft with a wall thickness of 3 mm with the same length and weight. For these two cases, compare the angles of rotation that would occur if a moment M = 600 (N.m) was applied to the end of the shaft made of material G-80 GPa.