B1 A simply supported beam is subjected to a 5 kN point load at B, a 3 kNmexternal moment at Cand a 4 kN/m uniformly distributed load as shownin figure Q6. The beam is supported by a pin joint at A and a roller joint6.at D.Enter your solution on the answer sheet and show your working for thefollowing questions:5 kN4 kN /mM. = 3 kNmCB30°AD1 m1 m2 m1 m1 m6 mFigure Q6(a)Draw a free-body diagram of the beam.va(b)Determine the reactions at supports A and D.

Answered: Image /qna-images/answer/53b9f886-9f68-4467-86d4-8b5c2f941597.jpg

A simply supported beam is subjected to a 5 kN point load at B, a 3 kNm external moment at C and a 4 kN/m uniformly distributed load as shown in figure Q6. The beam is supported by a pin joint at A and a roller joint at D. Enter your solution on the answer sheet and show your working for the following questions: kN

A simply supported beam is subjected to a 5 kN point load at B, a 3 kNm external moment at C and a 4 kN/m uniformly distributed load as shown in figure Q6. The beam is supported by a pin joint at A and a roller joint at D. Enter your solution on the answer sheet and show your working for the following questions: kN

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter5: Stresses In Beams (basic Topics)

Section: Chapter Questions

Problem 5.8.11P: A wood beam AB on simple supports with span length equal to 10 ft is subjected to a uniform load of...

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The cross section of a composite beam made of aluminum and steel is shown in the figure. The moduli of elasticity are TA= 75 GPa and Es= 200 GPa. Under the action of a bending moment that produces a maximum stress of 50 M Pa in the aluminum, what is the maximum stress xs in the steel? If the height of the beam remains at 120 mm and allowable stresses in steel and aluminum are defined as 94 M Pa and 40 M Pa, respectively, what heights h and h. arc required for aluminum and steel, respectively, so that both steel and aluminum reach their allowable stress values under the maximum moment?
A r o lukI f/frm f «m t ub e of ou t sid e d ia met er ^ and a copper core of diameter dxare bonded to form a composite beam, as shown in the figure, (a) Derive formulas for the allowable bending moment M that can be carried by the beam based upon an allowable stress <7Ti in the titanium and an allowable stress (u in the copper (Assume that the moduli of elasticity for the titanium and copper are Er- and £Cu, respectively.) (b) If d1= 40 mm, d{= 36 mm, ETl= 120 GPa, ECu= 110 GPa, o-Ti = 840 MPa, and ctqj = 700 MPa, what is the maximum bending moment Ml (c) What new value of copper diameter dtwill result in a balanced design? (i.e., a balanced design is that in which titanium and copper reach allow- able stress values at the same time).
A vertical pole of solid, circular cross section is twisted by horizontal forces P = 5kN acting at the ends of a rigid horizontal arm AB (see figure part a). The distance from the outside of the pole to the line of action of each force is c = 125 mm (sec figure part b) and the pole height L = 350 mm. (a) If the allowable shear stress in the pole is 30 MPa, what is the minimum required diameter dminof the pole? (b) What is the torsional stiffness of the pole (kN · m/rad)? Assume that G = 28 GPa. (c) If two translation al springs, each with stiffness k =2550 kN/m, are added at 2c/5 from A and B (see figure part c), repeat part (a) to find dmin. Hint: Consider the pole and pair of springs as "springs in parallel."
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A wood beam AB on simple supports with span length equal to 10 ft is subjected to a uniform load of intensity 125 lb/ft acting along the entire length of the beam, a concentrated load of magnitude 7500 lb acting at a point 3 ft from the right-hand support, and a moment at A of 18,500 ft-lb (sec figure). The allowable stresses in bending and shear, respectively, are 2250 psi and 160 psi. From the table in Appendix G, select the lightest beam that will support the loads (disregard the weight of the beam). Taking into account the weight of the beam (weight density = 35 lb/ft3), verify that the selected beam is satisfactory, or if it is not, select a new beam.
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