Statics and Mechanics of Materials (5th Edition)
5th Edition
ISBN: 9780134382593
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 16.3, Problem 39P
To determine
Find the maximum deflection of the cantilever beam
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Determine the maximum deflection of the cantilevered beam. The beam is made of material having an E=200GPaE=200GPa and I=63(106)mm6I=63(106)mm4 . (Figure 1)
note the image is wrong, must be I=63(106)mm^4
The three concentrated load is supported by a T beam shown in figure. Determine the maximum value of P so that σtensile < 12 ksi and σcompressive < 20 ksi.
Given the 200mm x 400mm beam with the loading shown, determine:
a. the amount of load P applied on the beam if the deflection on the midspan is 5 mm downward.
b. by this same load P, what is the deflection and slope on the beam at point D?
Set the parameters as a = 3m, L = 9m , E = 200 GPa. EI is constant.
Chapter 16 Solutions
Statics and Mechanics of Materials (5th Edition)
Ch. 16.2 - In each ease, determine the internal bending...Ch. 16.2 - Prob. 1FPCh. 16.2 - Determine the slope and deflection of end A of the...Ch. 16.2 - Prob. 3FPCh. 16.2 - Prob. 4FPCh. 16.2 - Determine the maximum deflection of the simply...Ch. 16.2 - Prob. 6FPCh. 16.2 - An L2 steel strap having a thickness of 0.125 in....Ch. 16.2 - The L2 steel blade of the band saw wraps around...Ch. 16.2 - A picture is taken of a man performing a pole...
Ch. 16.2 - Determine the equation of the elastic curve for...Ch. 16.2 - Determine the deflection of end C of the...Ch. 16.2 - Prob. 6PCh. 16.2 - The A-36 steel beam has a depth of 10 in. and is...Ch. 16.2 - Prob. 8PCh. 16.2 - Determine the equations of the elastic curve for...Ch. 16.2 - Determine the equations of the elastic curve using...Ch. 16.2 - Determine the equations of the elastic curve using...Ch. 16.2 - Prob. 12PCh. 16.2 - Determine the maximum deflection of the beam and...Ch. 16.2 - The simply supported shaft has a moment of inertia...Ch. 16.2 - A torque wrench is used to tighten the nut on a...Ch. 16.2 - The pipe can be assumed roller supported at its...Ch. 16.2 - Determine the equations of the elastic curve for...Ch. 16.2 - The bar is supported by a roller constraint at B,...Ch. 16.2 - The bar is supported by a roller constraint at B,...Ch. 16.2 - Determine the equations of the elastic curve using...Ch. 16.2 - Prob. 21PCh. 16.2 - Determine the elastic curve for the cantilevered...Ch. 16.2 - Prob. 23PCh. 16.2 - Prob. 24PCh. 16.2 - The floor beam of the airplane is subjected to the...Ch. 16.2 - Determine the maximum deflection of the simply...Ch. 16.2 - The beam is made of a material having a specific...Ch. 16.2 - Determine the slope at end B and the maximum...Ch. 16.2 - Prob. 29PCh. 16.2 - Determine the equations of the elastic curve using...Ch. 16.3 - The shaft is supported at A by a journal bearing...Ch. 16.3 - The shaft supports the two pulley loads shown....Ch. 16.3 - Prob. 33PCh. 16.3 - Prob. 34PCh. 16.3 - The beam is subjected to the load shown. Determine...Ch. 16.3 - Prob. 36PCh. 16.3 - Determine the equation of the elastic curve and...Ch. 16.3 - Prob. 38PCh. 16.3 - Prob. 39PCh. 16.3 - Determine the slope at A and the deflection of end...Ch. 16.3 - Determine the maximum deflection in region AB of...Ch. 16.3 - Prob. 42PCh. 16.3 - Prob. 43PCh. 16.3 - Prob. 44PCh. 16.4 - The W10 15 cantilevered beam is made of A-36...Ch. 16.4 - The W10 15 cantilevered beam is made of A-36...Ch. 16.4 - The W14 43 simply supported beam is made of A992...Ch. 16.4 - The W14 43 simply supported beam is made of A992...Ch. 16.4 - The W14 43 simply supported beam is made of A-36...Ch. 16.4 - The W14 43 simply supported beam is made of A-36...Ch. 16.4 - The W8 48 cantilevered beam is made of A-36 steel...Ch. 16.4 - The beam supports the loading shown. Code...Ch. 16.4 - Prob. 53PCh. 16.4 - The W8 48 cantilevered beam is made of A-36 steel...Ch. 16.4 - Prob. 55PCh. 16.4 - Prob. 56PCh. 16.4 - Prob. 57PCh. 16.4 - The assembly consists of a cantilevered beam CB...Ch. 16.4 - Prob. 59PCh. 16.4 - Prob. 60PCh. 16.5 - Determine the reactions at the fixed support A and...Ch. 16.5 - Prob. 8FPCh. 16.5 - Determine the reactions at the fixed support A and...Ch. 16.5 - Prob. 10FPCh. 16.5 - Prob. 11FPCh. 16.5 - Prob. 12FPCh. 16.5 - Prob. 61PCh. 16.5 - Determine the reactions at the supports, then draw...Ch. 16.5 - Determine the reactions at the supports, then draw...Ch. 16.5 - Prob. 64PCh. 16.5 - The beam is used to support the 20-kip load....Ch. 16.5 - Prob. 66PCh. 16.5 - Determine the reactions at the supports A and B....Ch. 16.5 - Before the uniform distributed load is applied to...Ch. 16.5 - Prob. 69PCh. 16.5 - Prob. 70PCh. 16.5 - The beam is supported by the bolted supports at...Ch. 16.5 - Prob. 72PCh. 16.5 - Prob. 73PCh. 16 - Prob. 1RPCh. 16 - Draw the bending-moment diagram for the shaft and...Ch. 16 - Prob. 3RPCh. 16 - Determine the equations of the elastic curve for...Ch. 16 - Determine the maximum deflection between the...Ch. 16 - Prob. 6RPCh. 16 - The framework consists of two A-36 steel...Ch. 16 - Prob. 8RPCh. 16 - Using the method of superposition, determine the...
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- A simply supported beam of 6 m length with external diameter 150 mm and thickness15 mm has maximum deflection 4.25 mm at the centre. Calculate the uniformlydistributed load carried over by the beam. Take E=210 kN/mmarrow_forwardThe AB bar below is cylindrical, has a diameter of 3” and is made of mild steel (E=200 GPa). Determine the maximum bending stress and deflection of the bar.arrow_forward3. Determine the maximum deflection of the beam loaded as shown. Let Mo = 75 kN.m and L = 3 m. El is constantarrow_forward
- beam, simply supported at its ends, carries a load which increases uniformly from 15kN/m at the left-hand end to 100 kN/m at the right-hand end. If the beam is 5m long, find the equation for the rate of loading and, using this, to determine the deflection of the beam at mid-span if E= 200GN/m² and I=600*10 m².arrow_forward3. Determine the maximum deflection of the beam loaded as shown. Let Mo = 75 kN.m and L = 3 m. El is constant 2Mo Mo -xarrow_forwardA leaf spring 75 cm long is required to carry a central load of 8 kN. If the central deflection is not to exceed 2 cm and bending stress no greater than 200 MPa, determine the thickness, width and number of plates. Also compute the radius to which plates should be curved. As- sume width of plate to be 12 times its thickness and E = 200 GPa.arrow_forward
- Using Moment-Area Method, determine the slope at A and B and the deflection at point B of the loaded beam shown. Use E = 150 GPa and I = 110x106 mm4. (Please show moment diagrams by parts)arrow_forwardDetermine the deflection at point C and at the site of action of the load. Take Est = 200 GPa, I = 17 x 106 mm4. Neglect the mass of the steel beam.arrow_forwardDetermine the maximum stress in a hollow column of Do = 160mm and Di = 100mm that supports a load of 40KN and a bending moment of 4KN-m.arrow_forward
- If w = 25 kN/m., calculate the value of EIδ at 1 m. of the free end of the loaded beam as indicated in the figure belowarrow_forwardDetermine the deflection at points C and D of the beam. Take E=200GPa and I=6(10^3)mm^4.arrow_forwardDetermine the deformation of the beam at point H due to the load P. Assume that El is constant across the lenght of the beam. [P= 14.8 kips, a=2.5 ft, b=5,3 ft, El = 4.11 x 105 kips-in.²] a 0.527 in 0.737 in 1.356 in 0.349 in 0.635 in barrow_forward
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