For the figure shown below (not to scale)... (a) Write equations for the internal forces at J (axial (F), shear (V), and bending (M)) in terms of only P and a. (b) Graph your equations as functions of P, using a = 45°, from 0 < P < 1000 N. Use your graph to answer the following conceptual questions: 1. Which quantity (F, V, or M) is most affected by changes in P? 2. Based on your diagrams and graphical results, for positive values of P... I. Is point J under tension or compression? II. If the structure fails (snaps) at a point just to the right of J, which direction does your diagram indicate point J will travel (up or down)? III. Which direction do your results indicate member BC will tend to bend, concave up or down? 3. For different values of a, what will happen to these lines? Choose all that apply: a. They will shift up/down b. They will shift left/right c. They will rotate (change slope) d. Nothing (c) Graph your equations as functions of a, using P = 100 N, from 0 < a < 2π. Use your graph to identify what value of a between 0 and 2π (non-inclusive) will produce... 1. Zero axial stress 2. Zero shear stress 3. Zero bending stress

For the figure shown below (not to scale)... (a) Write equations for the internal forces at J (axial (F), shear (V), and bending (M)) in terms of only P and a. (b) Graph your equations as functions of P, using a = 45°, from 0 < P < 1000 N. Use your graph to answer the following conceptual questions: 1. Which quantity (F, V, or M) is most affected by changes in P? 2. Based on your diagrams and graphical results, for positive values of P... I. Is point J under tension or compression? II. If the structure fails (snaps) at a point just to the right of J, which direction does your diagram indicate point J will travel (up or down)? III. Which direction do your results indicate member BC will tend to bend, concave up or down? 3. For different values of a, what will happen to these lines? Choose all that apply: a. They will shift up/down b. They will shift left/right c. They will rotate (change slope) d. Nothing (c) Graph your equations as functions of a, using P = 100 N, from 0 < a < 2π. Use your graph to identify what value of a between 0 and 2π (non-inclusive) will produce... 1. Zero axial stress 2. Zero shear stress 3. Zero bending stress

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter7: Analysis Of Stress And Strain

Section: Chapter Questions

Problem 7.7.14P: Solve the preceding problem for the following data: x=1120106,y=430106,xy=780106,and=45.

See similar textbooks

Similar questions

Solve the following problem.
Solve it with Roth table please, I do not understand why when I solve it the third row s^1 is 5K^2+25K+2/(K-3) for the equation:
GIVEN: 80 kN 30 kN/m 3 m- 2m 2m FIND: Solve for the internal forces at (a) 0.5m, (b) 1m, (c) 3m, & (d) 6m.
Of a column of infinite length to points A, B, C and D parallel FA, FB, FC and FD (kN) respectively Using the forces in the directions given in the figure, equivalent resultant force (FEŞ) size and application x and y (m) coordinates of the point find. FA=20 FB=55 FC=35 FD=77 xA=13 yA=8 xB=3 yB=5 xC=10 yC=0 xD=-9 yD=-15
a) Let's start with a simplified model where both M, and M₂ are applied perpendicular to the moment arm. The moment arm lengths are d₁ = 3 cm, d₂ 15 cm, and d3 = 34 cm. M₁ M₂ da W Calculate the ratio of the mechanical advantage of the brachioradialis(M₂) to the mechanical advantage of the biceps(M₁). Ratio of Mechanical Advantage MA2 -) = 5 MA1
c) Calculate the equations of internal shear force V(x) and bending moment M(x). Type the mathematical expressions or constants, following the defined sign convection. Section AB: Internal shear force equation: V(x) = Internal bending moment equation: M(x) : Section BC: Internal shear force equation: V(x) Internal bending moment equation: M(x) = = N N N*mm N*mm
QI : In the following fig the truss is loaded by a force (P) at point ( G) and ( 2p) at point (F) knowing that the cross section arca A is constant for all bars find : a-The stress in bar (Af) and (AB). b- If the load P-30 KN and the cross section area is 100 mm what are the stress in previous bars. Ie AB and AF
QI : In the following fig the truss is loaded by a force (P) at point ( G) and ( 2p) at point (F) knowing that the cross section area A is constant for all bars find : a-The stress in bar (Af) and (AB). b- If the load P-30 KN and the cross section area is 100 mm what are the stress in previous bars. Ie AB and AF L. OG F 2P 21 Q2 : The three bars shown in fig are pined at point B which carry a load P and fixed at points A, C and D. The length of the three bars AB, BD and CB is (L) . The cross section area for each bar is A, except the bar CB which has different cross section area of A2 . All three bars have the same young modulus E. Determine the axial force in each of the bars. B
GIVE ME THE COMPLETE SOLUTION FOR THISTHIS IS THE ANSWER ACC TO THE ANSWER KEY I JUST NEED HELP FOR THE SOLUTION Theta3/T = ((5*s^2 + 9*s + 9))/(15*s^5 + 47*s^4 + 117*s^3 + 161*s^2 + 81*s)
4. Please proof the below equations. (hint: please use the lever rule and draw the picture) R C,-C R+S C.-C. C-C, My W. M¸ + M R+S C.-C̟ S %3D =
A gymnastic beam can be modeled with a 10 cm x 40 cm cross-section and 6 m between its supports. A gymnast lands at the center of this beam with a 1.5 kN force. What is the shear stress on the upper surface of the beam directly below the force of the gymnast?
Solved Examples 8KN Example 5 Replace the force and couple moment system acting on the beam in the figure below by an equivalent resultant force, and find where its line of action intersects the beam, measured from point O. 4KN 15 KN-m (0,5 m Solution:- Force Summation. Summing the force components, 1.5 m 1.5 m 15 m 15m F), = XF;; (F), = 8 kN(}) = 4.80 kNO