(Solved): The rigid structure ABD is supported at B by a 34-mm-diameter tie rod (1) and at \( A \) by a \( 29 ...

The rigid structure ABD is supported at B by a 34-mm-diameter tie rod (1) and at \( A \) by a \( 29-\mathrm{mm} \)-diameter pin used in a single shear connection. The tie rod is connected at B and C by 21-mm-diameter pins used in double shear connections. Tie rod (1) has a yield strength of \( 260 \mathrm{MPa} \), and each of the pins has an ultimate shear strength of \( 320 \mathrm{MPa} \). A concentrated load of \( P=49 \mathrm{kN} \) acts as shown at D. Assume \( c=7.6 \mathrm{~m}, a=5.5 \mathrm{~m}, b=7 \mathrm{~m}, d=4.1 \mathrm{~m} \), and \( \theta=57^{\circ} \). Determine: (a) the normal stress in rod (1). (b) the shearing stress in the pins at \( A \) and \( B \). (c) the factor of safety with respect to the yield strength for tie rod (1). (d) the factor of safety with respect to the ultimate strength for the pins at \( A \) and \( B \), (a) Determine the axial force \( F_{1} \) in rod (1). Retain extra digits on intermediate answers to avoid round off error in final answer. Answer: \( F_{1}= \) \( \mathrm{kN} \). (a) Determine the normal stress \( \sigma_{1} \) in rod (1). Retain extra digits on intermediate answers to avoid round off error in final answer. Answer: \( \sigma_{1}= \) MPa. eTextbook and Media Attempts: unlimited Using multiple attempts will impact vour score. \( 20 \% \) score reduction after attempt 4 Part 3 (b) Determine the resultant force at pin A. Retain extra digits on intermediate answers to avoid round off error in final answer. Answer: \( \mathrm{A}= \) b) Determine the shear stresses \( \tau_{A}, \tau_{B} \) in pins \( A \) and B. Retain extra digits on intermediate answers to avoid round off error in final answer. Answer: \( \tau_{A}= \) eTextbook and Media \( \mathrm{MPa}_{,} \mathrm{\tau}_{B}= \) \( \mathrm{MPa} \). Attempts: unlimited Using multiple attempts will impact your score. \( 20 \% \) score reductionafter attempt 4 Parts (c) Determine the factor of safety \( \mathrm{FS}_{1} \) with respect to yield strength for the tie rod (1). Retain extra digits on intermediate answers to avoid round off error in final answer. Answer: \( \mathrm{FS}_{1}= \) (d) Determine the factor of safety FS A with respect to ultimate strength at pin \( A \). Retain extra digits on intermediate answers to avoid round off error in final answer. Answer: \( \mathrm{FS}_{\mathrm{A}}= \) eTextbook and Media Save for Later Attempts: unlimited Using multiple attempts will impact your score. \( 20 \% \) score reduction after attempt 4 Part7 (d) Determine the factor of safety \( \mathrm{FS}_{\mathrm{B}} \) with respect to ultimate strength for pin \( \mathrm{B} \). Retain extra digits on intermediate answers to avoid round off error in final answer. Answer: \( F_{S}= \) eTextbook and Media