A simply supported steel beam of length L = 16 ft is loaded with two forces PA = 350 lbf and Pg= 100 lbf, as shown in the figure. The loads are applied at a = 4 ft and b = 8 ft from the left end. Using singularity functions, find the minimum moment of inertia needed to support the loads without deflecting more than 0.5 in at the mid-span.
Q: A band brake (Figure 1) uses a 100 mm wide woven lining having design values of f = 0.3 a pmax = 0.7…
A: Givenw=100mmf=0.3Pmax=0.7 MPaN=150 rpm
Q: ease draw the right side view of this image.
A: According to the given Isometric view, we need to draw a right-hand side view.
Q: A hockey puck of mass 162 grams slides toward Brett with a velocity of -15 meters per second. Brett…
A:
Q: Steam at 400°C and 800 kPa enters a nozzle with a velocity of 10 m/s and leaves at 300°C and 200 kPa…
A:
Q: 13) In an air standard Diesel cycle, the compression ratio is 17. The cutoff ratio is 2.5:1. The air…
A:
Q: Q7. As shown in the image below, the spring (with spring constant k = 3.2 kN/m) is fixed to block A,…
A: Let VAi and VAf be the initial and final velocities of block A. Let VBi and VBf be the initial and…
Q: The compressor in a refrigerator compresses saturated R-134a vapor at 0°F to 200 psia. Calculate the…
A:
Q: Which of the following is the nearest value for the force at member BC? O a. 1.6 kN compression b.5…
A:
Q: to Three different objects, all with different masses, are initially at rest at the bottom of a set…
A:
Q: Find the force in member AB D E 4m a. 2kN compression b. 4kN Compression c. 2kN tension d. 4kN…
A:
Q: Niagara Falls is about 50 m high. a. What is the temperature rise in kelvins of the water from just…
A: Given data:- Height of Niagara Falls =50 m To find :- Temperature rise of 1g water Energy produced…
Q: Water (20°C) flows in a 15 cm cast-iron pipe at a rate of 0.075 m³/s. For these conditions,…
A:
Q: The compressive strength of alumina quartz (Al2O3) is 2.1 GPa. A quartz tube is being used for a…
A:
Q: Consider a two-stage cascade refrigeration system operating between the pressure limits of 0.8 and…
A: Given:Refrigerant=R134aCondenser pressure, Pc=0.8 MPaEvaporator pressure, Pe=0.14 MPaAdiabatic…
Q: Consider the figure below where force P is applied at end A of the bar ABCD. 1. What is the…
A:
Q: At the instant = 60°, the slotted guide rod is moving to the left with an acceleration a = 3 m/s²…
A:
Q: Determine the products of inertia about the coordi- nate axes for the thin plate of mass m which has…
A: given; determine product of inertia? mass=mangle=βradius=a
Q: r water heater has broken, but you want to take a bath. You fill your bathtub with 25 kg of…
A: Given data as per question Mass of room temperature water, m1=25 kg at Temperature, T1=25°C Mass of…
Q: Determine the force P required to force the 14° wedge under the 92-kg uniform crate which rests…
A: Given : u = 0.34 P = ?
Q: 2. The man pushes the 120-lb homogeneous crate with the horizontal force, P. Determine the largest…
A:
Q: 3. Convert the following values to the bar unit(0.1 Mps, 1 Mps, 1.5 Mps)
A: Dear student, we are suppose to solve only one question. Please post other question as a separate…
Q: Shown in the figure, an insulated rigid tank is divided into two equal parts by a partition.…
A:
Q: Air at 60°F and atmospheric pressure flows in a horizontal duct with a cross section corresponding…
A: Given:Air temperature, T=60oFLength of the duct, L=100 ftSide of equilateral triangle, S=6 ftSurface…
Q: The 113-lb force P is applied to the 250-lb crate, which is stationary before the force is applied.…
A: GivenP=113 lbm=250lbμs=0.41μk=0.32
Q: 13.3 Given the following information, and the Instron curve below for an axial stress experiment…
A: given; elastic modulus(E)=40MPaelongation at break(ε)=2.25initial length(l0)=1.5cmcross sectional…
Q: A velocity field of the two-dimensional, time-dependent fluid flow is given by 1 3 u(t, x, y) = r²…
A: (a) Write the expression of velocity field. u=t-3/2x1/3+y1/3i-13t-3/2x-2/3yj
Q: 1) Check that mechanism is kinematic chain: L B
A:
Q: The velocity of a particle is given by v = 27t² - 80t - 253, where v is in feet per second and t is…
A: GivenV=27t2-80t-253t=4s
Q: σ hard steel (0.6% carbon) highest strength structural steel (0.2% carbon) toughest soft steel (0.1%…
A: From the given data we can say that, For soft, structural and hard steel slope of elastic curve is…
Q: 1. Consider filling a "type A" gas cylinder from with water from a high-pressure supply line as…
A:
Q: QUESTION 1 Find the force in member AB D E 4m a. 4kN Compression b.2kN compression O c. 2kN tension…
A:
Q: 6. A 2 kg block is pushed against a spring with spring constant k = 400 N/m, compressing it 22 cm.…
A:
Q: ! Required information Consider the beam and loading shown where P = 44 kips. 3 kips/ft quition…
A:
Q: An air standard Diesel cycle rejects 10 KJ per cycle of heat while operating at 300 rpm. At the…
A: Ans: Compression ratio= 12.85 Expansion ratio= 8.12 Cut-off ratio= 1.58
Q: An electrical wire 2 m long and 0.3 cm in diameter extends through a room at 15 °C, as shown in the…
A:
Q: when calculating the hc, why are adding the x as well ?
A:
Q: Water is the working fluid in a reheat-regenerative Rankine cycle with one closed feedwater heater…
A:
Q: A piston-cylinder device contains an ideal gas of nitrogen. At the initial state, the volume is V₁=…
A:
Q: A solid shaft 18 m Length is to transmit power at 2200 rpm. If the shaft is stressed to 275 MPa when…
A:
Q: The roof of a house is electrically heated. This roof is 6 m long, 8 m high wide and 0.25 m thick,…
A:
Q: Water is the working fluid in an ideal Rankine cycle. Steam enters the turbine at 1400 lb/in² and…
A:
Q: Ex] A double-threaded right-handed worm gear transmits 15 Hp at 1150 rpm. The pitch of the worm is…
A:
Q: Ex. # 5) Pinion 2 in the figure runs at 1 750 rpm and transmits 2.5 kW to idler gear 3. The teeth…
A:
Q: 1500 1300 1100 900 700-660.452°C 500 300 0 10 (A1) Al 12.2 10 20 20 30 30 Weight Percent Silicon 40…
A: given; % over all composition if Al- Si mixture(C0)=12.2% composition of aluminium(C1)=1.65%…
Q: Determine the total length and mean length per turn of à circular coil of diameter 4.3 mm is made up…
A:
Q: Calculate the tensile modulus (G) of a 1-cm poly(methyl methacrylate) (CAS# 9011-14-7) rod with a…
A:
Q: 1. By using the simply tension test and the strain energy to prove the Young Modulus E is positive.…
A: Given: The strain gradient matric,
Q: Air at an initial state of , , and is compressed slowly in an isothermal process to , , and . The…
A:
Q: Find: centroidal Ix, = centroidal ly Ix= ly= 1 in 1in y 1 in 3 in 1 in X
A: This question is related to the moment of inertia and centroid. Consider the rigid body whose made…
Q: A 70 kg jumper lands stiff-legged on the floor and changes his velocity from -4.5 m/s to zero in…
A: Mass of jumper, m = 70 kg Initial velocity, Vi = -4.5 m/s Final velocity, Vf = 0 Time interval,…
Step by step
Solved in 7 steps with 9 images
- A foot bridge on a hiking trail is constructed using two timber logs each having a diameter d = 0.5 m (see figure a). The bridge is simply supported and has a length L = 4 m. The top of each log is trimmed to form the walking surface (see Fig, b)LA simplified model of the bridge is shown in Fig. g. Each log must carry its own weight w = 1.2 kN/m and the weight (P = 850 N) of a person at mid-span, (see Fig. b). Determine the maximum tensile and compressive stresses in the beam (Fig, b) due to bending. If load h is unchanged, find the maximum permissible value of load ... if the allowable normal stress in tension and compression is 2.5 M Pa.A beam with a guided support and 10-ft span supports a distributed load of intensity q = 660 lb/ft over its first half (see figure part a) and a moment Mq = 300 ft-lb at joint B. The beam consists of a wood member (nominal dimensions 6 in. x 12 in. and actual dimensions 5.5 in. x 11.5 in. in cross section, as shown in the figure part b) that is reinforced by 0.25-in.-thick steel plates on top and bottom. The moduli of elasticity for the steel and wood are £s = 30 X 106 psi and £"w = 1.5 X 106 psi, respectively. Calculate the maximum bending stresses trs in the steel plates and rw in the wood member due to the applied loads. If the allowable bending stress in the steel plates is = 14,000 psi and that in the wood is (T.dV!= 900 psi, find qmiiX. (Assume that the moment at .fi, A/0, remains at 300 ft-lb.) If q = 660 lb/ft and allowable stress values in part (b) apply, what is Müm^ at B?A simple beam AB is loaded as shown in the figure. Calculate the required section modulus S if ^aibw = IS,000 psi, L = 32 ft, P = 2900 lb, and g = 450 lb/ft. Then select a suitable I-beam (S shape) from Table F-2(a), Appendix F, and recalculate 5 taking into account the weight of the beam. Select a new beam size if necessary. What is the maximum load P that can be applied to your final beam selection in part (a)?
- Segments AB and BCD of beam ABCD are pin connected at x = 10 ft. The beam is supported by a pin support at A and roller supports at C and D; the roller at D is rotated by 30* from the x axis (see figure). A trapezoidal distributed load on BC varies in intensity from 5 lb/ft at B to 2.5 lb/ft at C. A concentrated moment is applied at joint A, and a 40-lb inclined load is applied at the mid-span or CD. (a) Find reactions at supports A, C, and D. (b) Find the resultant force in the pin connection at B. (c) Repeat parts (a) and (b) if a rotational spring(kr= 50 ft-lb/radian ) is added at A and the roller at C is removed.Each girder of the lift bridge (sec figure) is 180 ft long and simply supported at the ends. The design load for each girder is a uniform load of intensity 1,6 kips/ft. The girders are fabricated by welding three steel plates to form an I-shaped cross section (see figure) having section modulus S = 3600 in3. What is the maximum bending stress rmaxin a girder due to the uniform load?A simple beam AB supports two concentrated loads P at the positions shown in the figure. A support C at the midpoint of the beam is positioned at distance d below the beam before the loads are applied. Assuming that d = 10 mm, L = 6m, E = 200 G Pa, and I = 198 x 106 mm4, calculate the magnitude of the loads P so that the beam just touches the support at C.
- Beam ACB hangs from two springs, as shown in the figure. The springs have stiffnesses Jt(and k2^ and the beam has flexural rigidity EI. What is the downward displacement of point C, which is at the midpoint of the beam, when the moment MQis applied? Data for the structure are M0 = 7.5 kip-ft, L = 6 ft, EI = 520 kip-ft2, kx= 17 kip/ft, and As = 11 kip/ft. Repeat part (a), but remove Af0 and instead apply uniform load q over the entire beam.A cantilever beam A3, loaded by a uniform load and a concentrated load (sec figure), is constructed of a channel section. (a) Find the maximum tensile stresser, and maxi-mum compressive stress trcif the cross section has the dimensions indicated and the moment of inertia about the - axis (the neutral axis) is t = 3.36 in4. Note: The uniform load represents the weight of the beam. Find the maximum value of the concentrated load if the maximum tensile stress cannot exceed 4 ksi and the maximum compressive stress is limited to 14.5 ksi. How far from A can load P = 250 lb be positioned if the maximum tensile stress cannot exceed 4 ksi and the maximum compressive stress is limited to 14.5 ksi?Solve the preceding problem for a cantilever beam with data as b = 4 in., h = 9 in., L = 10 ft, P = 325 lb, and x = 45°.
- A propped cantilever beam of length L = 54 in. with a sliding support supports a uniform load of intensity q (see figure). The beam is made of steel {<7y = 36 ksi) and has a rectangular cross section of width/) = 4.5 in. and height h = 6.0 in. What load intensity q will produce a fully plastic condition in the beam?Find support reactions at A and D and then calculate the axial force N. shear force 1 and bending moment 11 at mid-span of column BD. Let L = 4 m, q0 = 160N/m, P = 200N, and M0= 380 N .m.Beam ABC is fixed at support A and rests (at point B) upon the midpoint of beam DE (see part a of the figure). Thus, beam, ABC may be represented as a propped cantilever beam with an overhang BC and a linearly elastic support of stiffness k at point B (see part b of the figure). The distance from A to B is L = 10 ft, the distance from B to C is L/2 = 5 ft, and the length of beam DE is L = 10 ft. Both beams have the same flexural rigidity EI. A concentrated load P = 1700 lb acts at t lie free end of beam ABC. Determine the reactions RA, RB+ and MAfor beam ABC. Also, draw the shear-force and bending-moment diagrams for beam ABC, labeling all critical ordinates.