A wood box beam is constructed of two 260 [mm] x 50 [mm] boards and two 260 [mm] x 25 [mm] boards (sec figure). The boards are nailed at a longitudinal spacing. b=100 [mm].  If each nail has an allowable shear force F=1200 [N], and Vmax=10652.6 [N]. What is the magnitude of the shear stress at the midpoint of either top or bottom plank?

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need this question's free body diagram

II. A circular column is made of concrete [E. 4.2(10³)ksi] while being reinforced with six steel rods [Est = 29 (10³)ksi]. It is acted upon 4 in. - 30 kip by an axial force of 30 kip as shown in the figure to the right. Each rod has a diameter of 0.85 in. 3 ft Solve for the following: a) Force in each steel rod, Pst b) Force in the concrete, P. c) Stress in each steel rod, Ost = kip kip %3D ksi d) Stress in the concrete, oc = ksi

PROBLEM 3: A pole AB is being lifted using cables BC and BD. The pole is tilted at an angle of 60⁰ from the horizontal (from xy-plane) and the tensions in BC and BD are 26.1 and 11.3 kN, respectively. [7] Determine the coordinates of B. Answer format: (x, y, z) (ANSWER: 6.00, 0.00, 10.39 m) [8] Calculate the magnitude of the resultant of the two tensions BC and BD acting at B. (ANSWER: 36.04 KN) [9] Calculate the directional angle of the resultant of tensions BC and BD acting at B with respect to the z-axis (γ). (ANSWER: 135.969⁰) and with respect to the y-axis (β). (ANSWER: 103.611⁰).

Consider the steel truss shown below. Calculate the forces in the truss members and determine whether each member is in tension, compression or a zero force member. Hint: some members will be neither in tension nor in compression. ForceF 1 kN 4 m 40° 7 m 8m Member AC is a [Select] member. Member AD is a [Select] member. Member CD is a [ Select] member. Member DE is a [ Select ] member. Member AE is a [ Select] member. Member AB is a [ Select ] member. Member BE is a [ Select] member.

Q is the midpoint of the line segment PR in the truss rafter shown in the figure. What are the lengths of the line segments PQ, QS, and RS? (Let x = 7 and y = 14. Round your answer to one decimal place.) PQ- 7 QS = 7 RS= R

Page 2 of 2 3. Consider the truss structure below with a pin boundary condition at A and a roller boundary condition at D. The dimensions are h = 13.3 m and b = 26.7 m. The external forces are FR = 200 N and F = 314 N. Calculate: a. The reaction forces at A and D [N]. b. The forces in each truss member [N]. Indicate whether each is in tension or compression. В F. A C Fc b b

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